Magnetic fields & induction worksheet with answers

Free printable Magnetic fields & induction worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy

A rectangular loop of 15 cm by 25 cm lies in a uniform magnetic field of 0.1 T. The field lines make an angle of 37° with the plane of the loop. Find the magnetic flux Φ through the loop.

B = 0.1 TA = 15 cm × 25 cm37° to the plane

Φ = mWb

2.Easy

A straight wire 15 cm long carries 5 A at an angle of 60° to a uniform magnetic field of 1.2 T. Find the magnitude of the force F on the wire.

B = 1.2 TI = 5 AL = 15 cmθ = 60°

F = N

3.Medium

An alpha particle moves on a circle in a uniform magnetic field of 1 T. Find the time T it takes for one revolution.

m = 6.645 × 10⁻²⁷ kg|q| = 3.204 × 10⁻¹⁹ CB = 1 T

T = ns

4.Medium

A square loop moves to the right into a region with a uniform magnetic field pointing into the page. Click the direction of the induced current in the loop as seen in the drawing, while the loop is entering the field.

B: into the pageentering the field

1clockwise
2counterclockwise

5.Hard

A coil of 250 turns, 15 cm × 20 cm, rotates at 1800 rpm in a uniform field of 0.05 T about an axis perpendicular to the field. Find the peak emf E₀.

N = 250A = 15 cm × 20 cmB = 0.05 Tn = 1800 rpm

E₀ = V

6.Hard

A long air-core solenoid has 800 turns, a length of 50 cm and a diameter of 1 cm. Find its self-inductance L.

N = 800l = 50 cm⌀ = 1 cmμ₀ = 4π × 10⁻⁷ T·m/A

L = µH

Answer key

1. Φ = 2.257 mWb
2. F = 0.7794 N
3. T = 130.3 ns
4. counterclockwise
5. E₀ = 70.69 V
6. L = 126.3 µH

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