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.

New worksheet Practise online with hints

For teachers: free to print, copy and use in class. Every new worksheet has new values and its own answer key. A link to ExamProblems on your course page is appreciated.

Name: ____________________ Date: ____________

1.Easy

A straight wire 25 cm long carries 6 A at an angle of 90° 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 = 25 cmθ = 90°

F = N

2.Easy

An alpha particle moves at 1 × 10⁶ m/s perpendicular to a uniform magnetic field of 0.05 T. Find the magnitude of the magnetic force F on it.

|q| = 3.204 × 10⁻¹⁹ Cv = 1 × 10⁶ m/sB = 0.05 Tθ = 90°

F = fN

3.Medium

A coil of 500 turns has an area of 40 cm². The coil is turned over (rotated through 180°) in a uniform field of 0.8 T, which is perpendicular to its plane, in 200 ms. Find the average induced emf ε.

N = 500A = 40 cm²B = 0.8 TΔt = 200 ms

ε = V

4.Medium

A proton moves to the left through a uniform magnetic field pointing out of the page. Click the direction of the magnetic force on it.

v: to the leftB: out of the page

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

5.Hard

A long air-core solenoid has 2000 turns, a length of 20 cm and a diameter of 1 cm. Find its self-inductance L.

N = 2000l = 20 cm⌀ = 1 cmμ₀ = 4π × 10⁻⁷ T·m/A

L = mH

6.Hard

An alpha particle starts from rest, is accelerated through a potential difference of 500 V and then enters a uniform magnetic field of 0.3 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 = 500 VB = 0.3 T

r = cm

Answer key

1. F = 1.2 N
2. F = 16.02 fN
3. ε = 16 V
4. up the page
5. L = 1.974 mH
6. r = 1.518 cm

Full step-by-step solutions: practise this topic on examproblems.com.