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A small loop of area A is placed inside a long solenoid that has n turns per meter and carries a sinusoidally varying current of amplitude i. The central axes of the loop and solenoid coincide. If i = i

A small loop of area A is placed inside a long solenoid that has n turns per meter and carries a sinusoidally varying current of amplitude i. The central axes of the loop and solenoid coincide. If i = i

_{0}sin ωt, find the emf in the loop.

EMF

[tex]\phi[/tex]

B

EMF

_{induced}= - d([tex]\phi[/tex]_{B})/ dt[tex]\phi[/tex]

_{B}=BAB

_{solenoid}= [tex]\mu[/tex]_{0}ni

The product of B and A = A[tex]\mu[/tex]

So the derivative of [tex]\phi[/tex]

=A[tex]\mu[/tex]

so;

EMF

Apparently this is incorrect. I'm sorry about the sloppy formatting, could someone help me out with this?

The product of B and A = A[tex]\mu[/tex]

_{0}ni_{0}sin (ωt)So the derivative of [tex]\phi[/tex]

_{B}with respect to time:=A[tex]\mu[/tex]

_{0}ni_{0}cos (ωt) ωso;

EMF

_{induced}= - A[tex]\mu[/tex]_{0}ni_{0}cos (ωt) ωApparently this is incorrect. I'm sorry about the sloppy formatting, could someone help me out with this?