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 proton moves at 2 × 10⁶ m/s at an angle of 60° to a uniform magnetic field of 0.05 T. Find the magnitude of the magnetic force F on it.

|q| = 1.602 × 10⁻¹⁹ Cv = 2 × 10⁶ m/sB = 0.05 Tθ = 60°

F = fN

2.Easy

A straight wire 80 cm long carries 6 A at an angle of 45° to a uniform magnetic field of 0.8 T. Find the magnitude of the force F on the wire.

B = 0.8 TI = 6 AL = 80 cmθ = 45°

F = N

3.Medium

An electron moves at 8 × 10⁶ m/s perpendicular to a uniform magnetic field of 1 mT. Find the radius r of its circular path.

m = 9.109 × 10⁻³¹ kg|q| = 1.602 × 10⁻¹⁹ Cv = 8 × 10⁶ m/sB = 1 mT

r = cm

4.Medium

A proton moves at 8 × 10⁵ m/s perpendicular to a uniform magnetic field of 0.5 T. Find the radius r of its circular path.

m = 1.673 × 10⁻²⁷ kg|q| = 1.602 × 10⁻¹⁹ Cv = 8 × 10⁵ m/sB = 0.5 T

r = cm

5.Hard

A proton starts from rest, is accelerated through a potential difference of 10000 V and then enters a uniform magnetic field of 0.5 T at right angles. Find the radius r of its path in the field.

m = 1.673 × 10⁻²⁷ kg|q| = 1.602 × 10⁻¹⁹ CV = 10000 VB = 0.5 T

r = cm

6.Hard

An alpha particle starts from rest, is accelerated through a potential difference of 2500 V and then enters a uniform magnetic field of 0.4 T at right angles. Find the radius r of its path in the field.

m = 6.645 × 10⁻²⁷ kg|q| = 3.204 × 10⁻¹⁹ CV = 2500 VB = 0.4 T

r = cm

Answer key

1. F = 13.87 fN
2. F = 2.715 N
3. r = 4.549 cm
4. r = 1.671 cm
5. r = 2.89 cm
6. r = 2.546 cm

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