Question

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Q TO TWO infinitely long solenoids (seen in cross-section) thread ach the figure. The magnitude of B inside each is the same and is increasing rate of 100 T/s What is the magnitude and direction of current in each resor 0.50m -0.50m B. 35.00 6.00 C ) 3.00 3.00} =0.15 m 1,-0.10 m

Answer 1

In the loop on the left, the induced emf is

e dos = A2 = 7(0.10m)2100T/s = TV dB =

And it attempt to produce a counterclockwise current in this loop.

In the loop on the right, the induced emf is,

e = dos = A2 = (0.15m)2100T/s = 2.25TV dB

and it attempt to produce a clockwise current.

Now, let us assume, that the $I_1$ flows down through the 6 \ohm resistor, $I_2$ flows down through the 5 \ohm resistor and $I_3$ flows up through the 3 ohm resistor.

From Kirchhoff point and junction rule give us,

Point rule :

13 = 11+12

Loop Rule:.

On the left loop,

611 +313 = 1

And on the right loop,

51, +313 = 2.257

Solving these three equation gives us,

11 = 0.062A, L2 = 0.86 Aandl3 = 0.923A