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