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## Homework Statement

Find the mutual inductance between a coil with N loops and an infinite straight line with current I on its axis.

## Homework Equations

M12 = M21 = flux 1/I 2 = flux 2/ I 1

emf = -d/dt flux

i = emf /R

R = eta*l/S

## The Attempt at a Solution

I have done this problem before using a infinite straight line and a toroidial solenoid with current however here it is a "coil with N loops" so I am unsure about how it changes it.

The field generated by the line is:

mu_0 * I2 /(2*pi*r)

Is the flux through the coil the same as through a toroidial solenoid:

flux = mu_0 * N * I2 * h * ln(R2/R1)/(2*pi) ?

Thanks