Let bold characters represent vectors. A long straight wire carrying a current I

Question

Let bold characters represent vectors.

A long straight wire carrying a current I is in the plane of a circular loop of wire.

The current I is decreasing. Both the loop and the wire are held in place by external forces. The loop has resistance 13 .

(a) In what direction does the induced current in the loop flow?

(b) In what direction is the external force holding the loop in place?

(c) At one instant, the induced current in the loop is 114 mA.

What is the rate of change of the magnetic flux through the loop at that instant in Wb/s?

(a) The current in the loop will flow in a (select)CW/CCW direction.

(b) The external force must be (select)towards/away from the long straight wire.

(c) ?

Explanation / Answer

part A:

from lenz law , direction of induced current = CCW
----------------------------
part B :

force must act towards the st wire
-----------------------------------

part C:
Current through loop, i = 114 mA = 0.14 A

The resistance, R = 13

But ohms law

v = iR = 0.14 * 13 = 1.82 volts

The number of loops, n = 1

we have a formula for the emf, v = n(d/dt)

d/dt = v/n = 1.82 Wb/s (ANSWER)

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