Question

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?

Answer 1

Answer:

Explanation:

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

=