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

An electron moves at 1.5 × 10⁵ m/s at an angle of 45° to a uniform magnetic field of 0.01 T. Find the magnitude of the magnetic force F on it.

|q| = 1.602 × 10⁻¹⁹ Cv = 1.5 × 10⁵ m/sB = 0.01 Tθ = 45°

F = fN

2.Easy

A straight wire 50 cm long carries 1 A at an angle of 30° to a uniform magnetic field of 0.08 T. Find the magnitude of the force F on the wire.

B = 0.08 TI = 1 AL = 50 cmθ = 30°

F = N

3.Medium

A metal rod 25 cm long slides at 6 m/s along two rails in a uniform field of 0.1 T into the page. Find the induced emf ε between its ends.

B = 0.1 TL = 25 cmv = 6 m/s

ε = mV

4.Medium

A wire carries a current to the left through a uniform magnetic field pointing into the page. Click the direction of the magnetic force on the wire.

I: to the leftB: into the page

1up the page
2to the right
3down the page
4to the left

5.Hard

A coil of 50 turns, 5 cm × 5 cm, rotates at 3000 rpm in a uniform field of 0.1 T about an axis perpendicular to the field. Find the peak emf E₀.

N = 50A = 5 cm × 5 cmB = 0.1 Tn = 3000 rpm

E₀ = V

6.Hard

A deuteron 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 = 3.344 × 10⁻²⁷ kg|q| = 1.602 × 10⁻¹⁹ CV = 10000 VB = 0.5 T

r = cm

Answer key

1. F = 0.1699 fN
2. F = 0.02 N
3. ε = 150 mV
4. down the page
5. E₀ = 3.927 V
6. r = 4.086 cm

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