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 rectangular loop of 15 cm by 20 cm lies in a uniform magnetic field of 0.6 T. The field lines make an angle of 20° with the plane of the loop. Find the magnetic flux Φ through the loop.

B = 0.6 TA = 15 cm × 20 cm20° to the plane

Φ = mWb

2.Easy

A flat circular coil of 5 turns and radius 4 cm carries a current of 1.5 A. Find the magnetic flux density B at its centre.

N = 5I = 1.5 AR = 4 cmμ₀ = 4π × 10⁻⁷ T·m/A

B = µT

3.Medium

Two long parallel wires 15 cm apart carry currents of 10 A and 12 A in opposite directions. Find the magnitude of the magnetic flux density B at point P, halfway between them.

I₁ = 10 AI₂ = 12 Ad = 15 cmμ₀ = 4π × 10⁻⁷ T·m/A

B = µT

4.Medium

A square loop moves to the right into a region with a uniform magnetic field pointing out of 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: out of the pageentering the field

1clockwise
2counterclockwise

5.Hard

A long air-core solenoid has 1000 turns, a length of 15 cm and a diameter of 2 cm. Find its self-inductance L.

N = 1000l = 15 cm⌀ = 2 cmμ₀ = 4π × 10⁻⁷ T·m/A

L = mH

6.Hard

A long air-core solenoid has 800 turns, a length of 10 cm and a diameter of 3 cm. Find its self-inductance L.

N = 800l = 10 cm⌀ = 3 cmμ₀ = 4π × 10⁻⁷ T·m/A

L = mH

Answer key

1. Φ = 6.156 mWb
2. B = 117.8 µT
3. B = 58.67 µT
4. clockwise
5. L = 2.632 mH
6. L = 5.685 mH

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