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## Homework Statement

[URL]http://nplq1.phyast.pitt.edu/res/csm/csmphyslib/type66_inductance/PairOfCoils.jpg[/URL]

Coil A is a large 400 turn circular coil of radius 91.0 cm. Circular coil B has 160 turns, a radius of 2.0 cm and is located L = 92.0 cm from coil A along the same axis. The planes of the two coils are parallel. 1.) Find approximately the mutual inductance of this pair of coils. 2.) If the current in coil A varies with time according to I = 14t

^{3}- 59t

^{2}- 1, where I is in amps and t is in s, find the magnitude of the EMF induced in coil B at time t = 1.0 s.

N

_{1}= 400 turns

N

_{2}= 160 turns

R

_{1}= .02 m

R

_{2}= .91 m

L = .92 m

t = 1.0 s

I(t) = 14t

^{3}- 59t

^{2}- 1

## Homework Equations

[tex]\epsilon[/tex]

_{L}= N

_{1}N

_{2}[tex]\Pi[/tex]R

^{2}

_{2}/2R

_{1}* di(t)/dt

## The Attempt at a Solution

I attempted to solve for mutual inductance by: N

_{1}N

_{2}*pi*R

^{2}

_{2}/2R

_{1}

And then multiplied by the derivative of I(t) at t=1.0s for the induced emf, but I'm not getting the correct answer. Any help or direction would be appreciated.

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