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
I = 30 APr = 2.5 cmB = ?

A long straight wire carries a current of 30 A. Find the magnetic flux density B at point P, 2.5 cm from the wire.

I = 30 Ar = 2.5 cmμ₀ = 4π × 10⁻⁷ T·m/A
B = µT
2.Easy
+v = 1.5 × 10⁵ m/sB = 1 T

A proton moves at 1.5 × 10⁵ m/s at an angle of 45° to a uniform magnetic field of 1 T. Find the magnitude of the magnetic force F on it.

|q| = 1.602 × 10⁻¹⁹ Cv = 1.5 × 10⁵ m/sB = 1 Tθ = 45°
F = fN
3.Medium
nBA = 20 cm², N = 10B = 0.8 T

A coil of 10 turns has an area of 20 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 = 10A = 20 cm²B = 0.8 TΔt = 200 ms
ε = mV
4.Medium
vI = ?

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
  1. 1clockwise
  2. 2counterclockwise
5.Hard
V = 10000 VB = 0.25 Tr = ?

A deuteron starts from rest, is accelerated through a potential difference of 10000 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 = 3.344 × 10⁻²⁷ kg|q| = 1.602 × 10⁻¹⁹ CV = 10000 VB = 0.25 T
r = cm
6.Hard
V = 2000 VB = 0.25 Tr = ?

A deuteron starts from rest, is accelerated through a potential difference of 2000 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 = 3.344 × 10⁻²⁷ kg|q| = 1.602 × 10⁻¹⁹ CV = 2000 VB = 0.25 T
r = cm

Answer key

  1. 1. B = 240 µT
  2. 2. F = 16.99 fN
  3. 3. ε = 160 mV
  4. 4. clockwise
  5. 5. r = 8.173 cm
  6. 6. r = 3.655 cm

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