Understanding Magnetic Fields and Wires - AP Physics C: Electricity and Magnetism
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Two infinitely long wires having currents 
and 
are separated by a distance 
.
The current 
is 6A into the page. The current 
is 9A into the page. The distance of separation is 1.5mm. The point 
lies 1.5mm away from 
on a line connecting the centers of the two wires.
What is the magnitude and direction of the net magnetic field at the point 
?
Two infinitely long wires having currents
The current
What is the magnitude and direction of the net magnetic field at the point
Tap to see back →
At point 
, the magnetic field due to 
points right (via the right hand rule) with a magnitude given by:
At point 
, the magnetic field due to 
points right (via the right hand rule) with a magnitude given by:
The addition of these two vectors, both pointing in the same direction, results in a net magnetic field vector of magnitude 
to the right.
At point
At point
The addition of these two vectors, both pointing in the same direction, results in a net magnetic field vector of magnitude
Consider a current-carrying loop with current 
, radius 
, and center 
.
What is the direction of the magnetic field produced?
Consider a current-carrying loop with current
What is the direction of the magnetic field produced?
Tap to see back →
The correct answer is into the page. As the current is moving clockwise, we can use our right hand rule for magnetic fields produced by a current-carrying loop. Curl the fingers of your right hand in the direction of the current. This should result in your thumb pointing toward the screen, indicating the direction of the magnetic field.
The correct answer is into the page. As the current is moving clockwise, we can use our right hand rule for magnetic fields produced by a current-carrying loop. Curl the fingers of your right hand in the direction of the current. This should result in your thumb pointing toward the screen, indicating the direction of the magnetic field.
Consider a current-carrying loop with current 
, radius 
, and center 
.
What is the magnitude of the magnetic field at point 
?
Consider a current-carrying loop with current
What is the magnitude of the magnetic field at point
Tap to see back →
The current flowing clockwise through the wire will induce a magentic field directed into the screen. The magnitude of such a magnetic field is given by the equation:
The current flowing clockwise through the wire will induce a magentic field directed into the screen. The magnitude of such a magnetic field is given by the equation:
Consider a current-carrying loop with current 
, radius 
, and center 
.
What would happen to the magnetic field at point 
if the radius was halved and current was multiplied by four?
Consider a current-carrying loop with current
What would happen to the magnetic field at point
Tap to see back →
The current flowing clockwise through the wire will induce a magentic field directed into the screen. The magnitude of such a magnetic field is given by the equation:
Using out altered values, we can derive a ratio to determine the change in magnetic field.
The resulting field will be eight times stronger than the original.
The current flowing clockwise through the wire will induce a magentic field directed into the screen. The magnitude of such a magnetic field is given by the equation:
Using out altered values, we can derive a ratio to determine the change in magnetic field.
The resulting field will be eight times stronger than the original.
Consider two long, straight, current-carrying wires at distance 
from each other, each with a current of magnitude 
going in opposite directions.
What is the magnitude of the magnetic field at a point equidistant from both wires?
Consider two long, straight, current-carrying wires at distance
What is the magnitude of the magnetic field at a point equidistant from both wires?
Tap to see back →
Using our right hand rule for magnetic fields produced by current-carrying wires, we know that the magnetic field produced by each wire is in the same direction within the distance between the wires. Therefore, we know that the total magnetic field is simply the magnetic field of one of the wires multiplied by two.
Use the equation for magnetic field:
Multiply by two, since the magnetic field will be equal for each wire, and substitute the given variables:
Using our right hand rule for magnetic fields produced by current-carrying wires, we know that the magnetic field produced by each wire is in the same direction within the distance between the wires. Therefore, we know that the total magnetic field is simply the magnetic field of one of the wires multiplied by two.
Use the equation for magnetic field:
Multiply by two, since the magnetic field will be equal for each wire, and substitute the given variables:
Two infinitely long wires having currents and are separated by a distance .
The current is 6A into the page. The current is 9A into the page. The distance of separation is 1.5mm. The point lies 1.5mm away from on a line connecting the centers of the two wires.
What is the magnitude and direction of the net magnetic field at the point ?
Two infinitely long wires having currents
The current
What is the magnitude and direction of the net magnetic field at the point
Tap to see back →
At point , the magnetic field due to points right (via the right hand rule) with a magnitude given by:
At point , the magnetic field due to points right (via the right hand rule) with a magnitude given by:
The addition of these two vectors, both pointing in the same direction, results in a net magnetic field vector of magnitude to the right.
At point
At point
The addition of these two vectors, both pointing in the same direction, results in a net magnetic field vector of magnitude
Consider a current-carrying loop with current , radius , and center .
What is the direction of the magnetic field produced?
Consider a current-carrying loop with current
What is the direction of the magnetic field produced?
Tap to see back →
The correct answer is into the page. As the current is moving clockwise, we can use our right hand rule for magnetic fields produced by a current-carrying loop. Curl the fingers of your right hand in the direction of the current. This should result in your thumb pointing toward the screen, indicating the direction of the magnetic field.
The correct answer is into the page. As the current is moving clockwise, we can use our right hand rule for magnetic fields produced by a current-carrying loop. Curl the fingers of your right hand in the direction of the current. This should result in your thumb pointing toward the screen, indicating the direction of the magnetic field.
Consider a current-carrying loop with current , radius , and center .
What is the magnitude of the magnetic field at point ?
Consider a current-carrying loop with current
What is the magnitude of the magnetic field at point
Tap to see back →
The current flowing clockwise through the wire will induce a magentic field directed into the screen. The magnitude of such a magnetic field is given by the equation:
The current flowing clockwise through the wire will induce a magentic field directed into the screen. The magnitude of such a magnetic field is given by the equation:
Consider a current-carrying loop with current , radius , and center .
What would happen to the magnetic field at point if the radius was halved and current was multiplied by four?
Consider a current-carrying loop with current
What would happen to the magnetic field at point
Tap to see back →
The current flowing clockwise through the wire will induce a magentic field directed into the screen. The magnitude of such a magnetic field is given by the equation:
Using out altered values, we can derive a ratio to determine the change in magnetic field.
The resulting field will be eight times stronger than the original.
The current flowing clockwise through the wire will induce a magentic field directed into the screen. The magnitude of such a magnetic field is given by the equation:
Using out altered values, we can derive a ratio to determine the change in magnetic field.
The resulting field will be eight times stronger than the original.
Consider two long, straight, current-carrying wires at distance from each other, each with a current of magnitude going in opposite directions.
What is the magnitude of the magnetic field at a point equidistant from both wires?
Consider two long, straight, current-carrying wires at distance
What is the magnitude of the magnetic field at a point equidistant from both wires?
Tap to see back →
Using our right hand rule for magnetic fields produced by current-carrying wires, we know that the magnetic field produced by each wire is in the same direction within the distance between the wires. Therefore, we know that the total magnetic field is simply the magnetic field of one of the wires multiplied by two.
Use the equation for magnetic field:
Multiply by two, since the magnetic field will be equal for each wire, and substitute the given variables:
Using our right hand rule for magnetic fields produced by current-carrying wires, we know that the magnetic field produced by each wire is in the same direction within the distance between the wires. Therefore, we know that the total magnetic field is simply the magnetic field of one of the wires multiplied by two.
Use the equation for magnetic field:
Multiply by two, since the magnetic field will be equal for each wire, and substitute the given variables:
Two infinitely long wires having currents and are separated by a distance .
The current is 6A into the page. The current is 9A into the page. The distance of separation is 1.5mm. The point lies 1.5mm away from on a line connecting the centers of the two wires.
What is the magnitude and direction of the net magnetic field at the point ?
Two infinitely long wires having currents
The current
What is the magnitude and direction of the net magnetic field at the point
Tap to see back →
At point , the magnetic field due to points right (via the right hand rule) with a magnitude given by:
At point , the magnetic field due to points right (via the right hand rule) with a magnitude given by:
The addition of these two vectors, both pointing in the same direction, results in a net magnetic field vector of magnitude to the right.
At point
At point
The addition of these two vectors, both pointing in the same direction, results in a net magnetic field vector of magnitude
Consider a current-carrying loop with current , radius , and center .
What is the direction of the magnetic field produced?
Consider a current-carrying loop with current
What is the direction of the magnetic field produced?
Tap to see back →
The correct answer is into the page. As the current is moving clockwise, we can use our right hand rule for magnetic fields produced by a current-carrying loop. Curl the fingers of your right hand in the direction of the current. This should result in your thumb pointing toward the screen, indicating the direction of the magnetic field.
The correct answer is into the page. As the current is moving clockwise, we can use our right hand rule for magnetic fields produced by a current-carrying loop. Curl the fingers of your right hand in the direction of the current. This should result in your thumb pointing toward the screen, indicating the direction of the magnetic field.
Consider a current-carrying loop with current , radius , and center .
What is the magnitude of the magnetic field at point ?
Consider a current-carrying loop with current
What is the magnitude of the magnetic field at point
Tap to see back →
The current flowing clockwise through the wire will induce a magentic field directed into the screen. The magnitude of such a magnetic field is given by the equation:
The current flowing clockwise through the wire will induce a magentic field directed into the screen. The magnitude of such a magnetic field is given by the equation:
Consider a current-carrying loop with current , radius , and center .
What would happen to the magnetic field at point if the radius was halved and current was multiplied by four?
Consider a current-carrying loop with current
What would happen to the magnetic field at point
Tap to see back →
The current flowing clockwise through the wire will induce a magentic field directed into the screen. The magnitude of such a magnetic field is given by the equation:
Using out altered values, we can derive a ratio to determine the change in magnetic field.
The resulting field will be eight times stronger than the original.
The current flowing clockwise through the wire will induce a magentic field directed into the screen. The magnitude of such a magnetic field is given by the equation:
Using out altered values, we can derive a ratio to determine the change in magnetic field.
The resulting field will be eight times stronger than the original.
Consider two long, straight, current-carrying wires at distance from each other, each with a current of magnitude going in opposite directions.
What is the magnitude of the magnetic field at a point equidistant from both wires?
Consider two long, straight, current-carrying wires at distance
What is the magnitude of the magnetic field at a point equidistant from both wires?
Tap to see back →
Using our right hand rule for magnetic fields produced by current-carrying wires, we know that the magnetic field produced by each wire is in the same direction within the distance between the wires. Therefore, we know that the total magnetic field is simply the magnetic field of one of the wires multiplied by two.
Use the equation for magnetic field:
Multiply by two, since the magnetic field will be equal for each wire, and substitute the given variables:
Using our right hand rule for magnetic fields produced by current-carrying wires, we know that the magnetic field produced by each wire is in the same direction within the distance between the wires. Therefore, we know that the total magnetic field is simply the magnetic field of one of the wires multiplied by two.
Use the equation for magnetic field:
Multiply by two, since the magnetic field will be equal for each wire, and substitute the given variables:
Two infinitely long wires having currents and are separated by a distance .
The current is 6A into the page. The current is 9A into the page. The distance of separation is 1.5mm. The point lies 1.5mm away from on a line connecting the centers of the two wires.
What is the magnitude and direction of the net magnetic field at the point ?
Two infinitely long wires having currents
The current
What is the magnitude and direction of the net magnetic field at the point
Tap to see back →
At point , the magnetic field due to points right (via the right hand rule) with a magnitude given by:
At point , the magnetic field due to points right (via the right hand rule) with a magnitude given by:
The addition of these two vectors, both pointing in the same direction, results in a net magnetic field vector of magnitude to the right.
At point
At point
The addition of these two vectors, both pointing in the same direction, results in a net magnetic field vector of magnitude
Consider a current-carrying loop with current , radius , and center .
What is the direction of the magnetic field produced?
Consider a current-carrying loop with current
What is the direction of the magnetic field produced?
Tap to see back →
The correct answer is into the page. As the current is moving clockwise, we can use our right hand rule for magnetic fields produced by a current-carrying loop. Curl the fingers of your right hand in the direction of the current. This should result in your thumb pointing toward the screen, indicating the direction of the magnetic field.
The correct answer is into the page. As the current is moving clockwise, we can use our right hand rule for magnetic fields produced by a current-carrying loop. Curl the fingers of your right hand in the direction of the current. This should result in your thumb pointing toward the screen, indicating the direction of the magnetic field.
Consider a current-carrying loop with current , radius , and center .
What is the magnitude of the magnetic field at point ?
Consider a current-carrying loop with current
What is the magnitude of the magnetic field at point
Tap to see back →
The current flowing clockwise through the wire will induce a magentic field directed into the screen. The magnitude of such a magnetic field is given by the equation:
The current flowing clockwise through the wire will induce a magentic field directed into the screen. The magnitude of such a magnetic field is given by the equation:
Consider a current-carrying loop with current , radius , and center .
What would happen to the magnetic field at point if the radius was halved and current was multiplied by four?
Consider a current-carrying loop with current
What would happen to the magnetic field at point
Tap to see back →
The current flowing clockwise through the wire will induce a magentic field directed into the screen. The magnitude of such a magnetic field is given by the equation:
Using out altered values, we can derive a ratio to determine the change in magnetic field.
The resulting field will be eight times stronger than the original.
The current flowing clockwise through the wire will induce a magentic field directed into the screen. The magnitude of such a magnetic field is given by the equation:
Using out altered values, we can derive a ratio to determine the change in magnetic field.
The resulting field will be eight times stronger than the original.
Consider two long, straight, current-carrying wires at distance from each other, each with a current of magnitude going in opposite directions.
What is the magnitude of the magnetic field at a point equidistant from both wires?
Consider two long, straight, current-carrying wires at distance
What is the magnitude of the magnetic field at a point equidistant from both wires?
Tap to see back →
Using our right hand rule for magnetic fields produced by current-carrying wires, we know that the magnetic field produced by each wire is in the same direction within the distance between the wires. Therefore, we know that the total magnetic field is simply the magnetic field of one of the wires multiplied by two.
Use the equation for magnetic field:
Multiply by two, since the magnetic field will be equal for each wire, and substitute the given variables:
Using our right hand rule for magnetic fields produced by current-carrying wires, we know that the magnetic field produced by each wire is in the same direction within the distance between the wires. Therefore, we know that the total magnetic field is simply the magnetic field of one of the wires multiplied by two.
Use the equation for magnetic field:
Multiply by two, since the magnetic field will be equal for each wire, and substitute the given variables: