Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Please verify your account before proceeding.

In this lesson, we will learn how to calculate the energy stored in a changing magnetic field of a self-inductive conductor.

Q1:

A rectangular toroid has 2 000 windings around its core and the core has a height of 0.10 m. The toroid has a self-inductance of 0.040 H. What is the current through the toroid when the energy in its magnetic field is 2 . 0 × 1 0 − 6 J?

Q2:

A 10-H inductor carries a current of 2 0 × 1 0 3 mA. Calculate how much ice at 0 . 0 ∘ C could be melted by the energy stored in the magnetic field of the inductor. Use a value of 334 J/g for the latent heat of fusion of ice.

Q3:

There is a current of 1.2 A in a coaxial cable whose outer radius is five times its inner radius. The copper in the coaxial cable has a magnetic permeability 𝜇 = 1 . 2 6 × 1 0 / H m . What is the magnetic field energy stored in a 3.0-m length of the cable?

Q4:

At the instant a current of 0.50 A is flowing through a coil of wire, the energy stored in its magnetic field is 8 . 0 × 1 0 − 3 J. What is the self-inductance of the coil?

Q5:

A coil with a self-inductance of 5.0 H and a resistance of 200 Ω carries a steady current of 3.0 A. What is the energy stored in the magnetic field of the coil?

Q6:

A 7 0 0 0 µF capacitor is charged to 200 V and then quickly connected to a 70.0 mH inductor.

Determine the maximum energy stored in the magnetic field of the inductor.

Determine the peak value of the current.

Determine the frequency of oscillation of the circuit.

Don’t have an account? Sign Up