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
nB20 cm × 25 cmB = 0.1 T

A rectangular loop of 20 cm by 25 cm lies in a uniform magnetic field of 0.1 T. The field makes an angle of 0° with the normal of the loop. Find the magnetic flux Φ through the loop.

B = 0.1 TA = 20 cm × 25 cm0° to the normal
Φ = mWb
2.Easy
−v = 2 × 10⁶ m/sB = 0.8 T

An electron moves at 2 × 10⁶ m/s perpendicular 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 = 2 × 10⁶ m/sB = 0.8 Tθ = 90°
F = fN
3.Medium
+v = 1 × 10⁶ m/sr = ?B = 1 T

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

m = 6.645 × 10⁻²⁷ kg|q| = 3.204 × 10⁻¹⁹ Cv = 1 × 10⁶ m/sB = 1 T
r = cm
4.Medium
+v = 2 × 10⁵ m/sr = ?B = 0.2 T

A proton moves at 2 × 10⁵ m/s perpendicular to a uniform magnetic field of 0.2 T. Find the radius r of its circular path.

m = 1.673 × 10⁻²⁷ kg|q| = 1.602 × 10⁻¹⁹ Cv = 2 × 10⁵ m/sB = 0.2 T
r = cm
5.Hard
V = 2000 VB = 0.2 Tr = ?

An alpha particle starts from rest, is accelerated through a potential difference of 2000 V and then enters a uniform magnetic field of 0.2 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 = 2000 VB = 0.2 T
r = cm
6.Hard
V = 500 VB = 0.25 Tr = ?

A proton starts from rest, is accelerated through a potential difference of 500 V and then enters a uniform magnetic field of 0.25 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 = 500 VB = 0.25 T
r = cm

Answer key

  1. 1. Φ = 5 mWb
  2. 2. F = 256.3 fN
  3. 3. r = 2.074 cm
  4. 4. r = 1.044 cm
  5. 5. r = 4.554 cm
  6. 6. r = 1.293 cm

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