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 = 2 AR = 15 cmB = ?

A single circular loop of wire with radius 15 cm carries a current of 2 A. Find the magnetic flux density B at its centre.

N = 1I = 2 AR = 15 cmμ₀ = 4π × 10⁻⁷ T·m/A
B = µT
2.Easy
I = 10 APr = 3 cmB = ?

A long straight wire carries a current of 10 A. Find the magnetic flux density B at point P, 3 cm from the wire.

I = 10 Ar = 3 cmμ₀ = 4π × 10⁻⁷ T·m/A
B = µT
3.Medium
IBF = ?

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
  1. 1up the page
  2. 2to the right
  3. 3down the page
  4. 4to the left
4.Medium
IBF = ?

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

I: down the pageB: out of the page
  1. 1up the page
  2. 2to the right
  3. 3down the page
  4. 4to the left
5.Hard
V = 10000 VB = 0.3 Tr = ?

A deuteron starts from rest, is accelerated through a potential difference of 10000 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 = 3.344 × 10⁻²⁷ kg|q| = 1.602 × 10⁻¹⁹ CV = 10000 VB = 0.3 T
r = cm
6.Hard
V = 2000 VB = 0.8 Tr = ?

A proton starts from rest, is accelerated through a potential difference of 2000 V and then enters a uniform magnetic field of 0.8 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 = 2000 VB = 0.8 T
r = cm

Answer key

  1. 1. B = 8.378 µT
  2. 2. B = 66.67 µT
  3. 3. to the right
  4. 4. to the left
  5. 5. r = 6.811 cm
  6. 6. r = 0.8079 cm

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