Question

In: Physics

A solenoid runs through the x-y plane with n = 1,185/m. A circular wire wrapped 18...

A solenoid runs through the x-y plane with n = 1,185/m. A circular wire wrapped 18 times with a radius of 0.49 meters is placed in the x-y plane in the solenoid. The solenoid's current increases from 6 amps to 28 amps running clockwise in a time of 2.4 millis-seconds. If the resistance of the circular wire is 2.4 Ohms, what is the amount, in amps, and direction of the average induced current in the circular wire? Indicate clockwise by including a negative sign, but do not include a sign for counter-clockwise.

Expert Solution

Well.....!!! I can help you.......!!!

Consider the figure below

STEP-1)

Let us find the area of the small wire loop, because it will be needed.

STEP-2)

Now, we have to find the magnetic field changes in the solenoid

----------------------Equation-1

but the field inside of the solenoid is given by

where is the runs per meter.

Substitute in Equation-1, gives

STEP-3)

Now, let us find the average rate of change of the flux in 2.4mS

where is the area of the inner loop.

STEP-4)

Now, let us find the voltage induced in one loop. =

So the voltage induced in 18 turns

So the current through the wire loop

is the current in the circular wire in counter clockwise direction according to the Lenz's law. That is, the induced current or voltage will oppose the changing of magnetic field.

GOOD LUCK.....!!!

genius_generous answered 1 day ago

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