In this worksheet, we will practice calculating 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
J?

Q2:

A 10-H inductor carries a current of mA.
Calculate how much ice at 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 . What is the magnetic
field energy stored in a 3.0-m length of the cable?

A
J

B
J

C
J

D
J

E
J

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 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 7,000 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.

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