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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.

Q1:

A solenoid 80.0 cm long is wound with 600 turns of wire. The cross-sectional area of the coil is 6.00 cm^{2}. What is the self-inductance of the solenoid?

Q2:

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?

Q3:

A rectangular toroid with inner radius 𝑅 = 8 . 0 1 c m , outer radius 𝑅 = 1 1 . 0 2 c m , height ℎ = 5 . 0 c m , and 𝑁 = 2 5 0 0 turns is filled with an iron core of magnetic susceptibility 5 . 2 × 1 0 3 .

What is the self-inductance of the toroid?

If the current through the toroid is 0.5 A, what is the magnetic field at the center of the core?

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