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 6 × 10⁵ m/s at an angle of 30° to a uniform magnetic field of 0.8 T. Find the magnitude of the magnetic force F on it.

|q| = 1.602 × 10⁻¹⁹ Cv = 6 × 10⁵ m/sB = 0.8 Tθ = 30°

F = fN

2.Easy

A straight wire 25 cm long lies at 60° to a uniform magnetic field of 1.2 T. The magnetic force on it is 2.078 N. Find the current I.

B = 1.2 TF = 2.078 NL = 25 cmθ = 60°

I = A

3.Medium

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

I: down the pageB: into the page

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

4.Medium

An electron moving at 3 × 10⁶ m/s enters a uniform magnetic field at right angles and moves on a circle of radius 0.8529 cm. Find the magnetic flux density B.

m = 9.109 × 10⁻³¹ kg|q| = 1.602 × 10⁻¹⁹ Cv = 3 × 10⁶ m/sr = 0.8529 cm

B = mT

5.Hard

A long air-core solenoid has 500 turns, a length of 10 cm and a diameter of 2 cm. Find its self-inductance L.

N = 500l = 10 cm⌀ = 2 cmμ₀ = 4π × 10⁻⁷ T·m/A

L = µH

6.Hard

A deuteron starts from rest, is accelerated through a potential difference of 5000 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 = 3.344 × 10⁻²⁷ kg|q| = 1.602 × 10⁻¹⁹ CV = 5000 VB = 0.4 T

r = cm

Answer key

1. F = 38.45 fN
2. I = 7.998 A
3. to the right
4. B = 2 mT
5. L = 987 µH
6. r = 3.612 cm

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