Lesson: Self-Inductance of a Long SolenoidPhysics
In this lesson, we will learn how to calculate the self-inductance of a cylindrical solenoid and the emf induced by it when the current through it varies with time.
Sample Question Videos
A solenoid 80.0 cm long is wound with 600 turns of wire. The cross-sectional area of the coil is 6.00 cm2. What is the self-inductance of the solenoid?
A long, cylindrical solenoid with 100 turns per centimeter has a radius of 1.5 cm.
Neglecting end effects, what is the self-inductance per unit length of the solenoid?
If the current through the solenoid changes at the rate 5.0 A/s, what is the emf induced per unit length?
A cylindrical solenoid is wrapped around an iron core. The self-inductance of the solenoid is given by where is the solenoid’s length, its cross-sectional area, and is the number of its turns. The solenoid’s core has a magnetic susceptibility of and the current in the solenoid is 2.0 A.
What is the strength of the magnetic field in the core?
What is the effective surface current formed by the atomic current loops in the core?
What is the self-inductance of the solenoid?