In the following figure, determine the direction of the current in resistor ab:

Question

In the following figure, determine the direction of the current in resistor ab:

A) As switch S is closed. B) As coil B is moved away from coil A with the switch closed; C) As the resistance of R is increased while the switch remains closed

A circular loop of wire with radius R, is in a region of spatially uniform magnet field as shown below. The magnetic field is directed into the plane of the figure.

Calculate the direction of the induced current in the loop when:

A) B is increasing; B) B is decreasing; C) B is constant with value B0

In the following figure, determine the direction of the current in resistor ab: Calculate the direction of the induced current in the loop when: A) B is increasing; B) B is decreasing; C) B is constant with value B0 A) As switch S is closed. B) As coil B is moved away from coil A with the switch closed; C) As the resistance of R is increased while the switch remains closed A circular loop of wire with radius R, is in a region of spatially uniform magnet field as shown below. The magnetic field is directed into the plane of the figure.

Explanation / Answer

In coil B I flows from the major potential to the minor, so, B field is pointing to the right (coil B)

A) In coil B, I increases, so, B flux increases to the rigth. Coil A must produce (by Lens law) a B field increasing to the left, in the resistance (coil A) I flows from b to a.

B) In coil B, B flux decreases to the right (as far is the coil, as weak is the field), so, in coil A, B must increase to the right, I flows from a to b.

C) Again, in coil B, B flux decreases to the right (a more resistance, less current and less field strength), so I flows from a to b.

Second problem:

A) B flux increases to into the page, the loop must produce a B field increasing to out of the page, current flows counter clock wise (CCW)

B) B flux decreases to into the page, the loop must produce a B field increasing to into of the page, current flows clock wise (CW)

C) No changing field, no inducted current, remember: inducted currents need a changing B field flux.

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