PLEASE HELP!!! a.) The magnetic field across the coil\'s entire cross-sectional

Question

PLEASE HELP!!!

a.) The magnetic field across the coil's entire cross-sectional area (as caused by the solenoid) at any given time:
---Select---

b.) If the current supplied to the solenoid drops at a constant rate from 1.5 A to zero in in a time interval ?t = 25 ms,

What are the magnitudes of the emf and current induced in the coil during this time interval?
? = 179.73 mV
Iind = 30.99 mA

Also, how large is the induced electric field in the coil?
Eind = ????? N/C

c.) What is the mutual inductance of this solenoid/coil system?
M = ???? mH

d.) Suppose the external current supply were detached from the solenoid and then connected instead to the coil.

The magnetic field across the solenoid's entire cross-sectional area (as caused by the coil) at any given time:
---Select---

If this current were also dropped from 1.5 A to zero in 25 ms,

What would be the size of the emf induced in the solenoid?
? = ????mV

Explanation / Answer

a)is a constant non zer value across the entire area

b)B=u0NI

=4xpix10-7x24700XI

b)

Flux=B.Area

Emf=d(flux)/dt=nxd(u0NIxA)dt

=120x4xpix10-7x24700X(1.5/25)x(pi)x(0.018)^2

=179.73 mV

Iind = (179.73 mV/5.8)= 1 30.99 mA

Mutual inductance =u0n1n2(pi)r2l

=Einduced =Mx(dI/dt)=2.27x10-3V

I=2.273mV/5.8=3.91x10-4A

C)M=2.787

d)is zero across entire area

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