A long, cylindrical solenoid with 100 turns per centimeter has a radius of 14.7 cm. If the current through the solenoid changes at the rate 6.21 A/s, what is the emf induced per unit length along the axis of the solenoid?

Given:

dI/dt = 6.21 A/s

n = N/l

= 100 turns/cm

= 100 turns/cm * 100 cm/1 m

Radius, r = 14.7 cm

= 0.147 m

Inductance, L = uo * n^2 * A * l

L/l = 4pi * 10^-7 * (100 * 100) ^2 * pi * 0.147^2

= 8.53 H

Emf, E = L * dI/dt

E/l = L/l * dI/dt

= 8.53 * 6.21

= 52.98 V/m

=