Coulomb’s law & electric fields worksheet with answers

Free printable Coulomb’s law & electric fields 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
−−4 µC++5 µCr = 15 cm

Two point charges of −4 µC and +5 µC are 15 cm apart. Find the magnitude of the electric force F between them. Use k = 8.99 × 10⁹ N·m²/C².

q1 = −4 µCq2 = +5 µCr = 15 cm
F = N
2.Easy
+q₁+q₂r

Two point charges repel each other with a force of 8 N. The first charge is doubled and the distance between the charges is halved. Find the new force F′.

F = 8 Nq₁′ = 2·q₁r′ = 0.5·r
F′ = N
3.Medium
++4 µC−−5 µCP20 cm

A charge of +4 µC and a charge of −5 µC are 20 cm apart. Point P lies on the line between them, 5 cm from the first charge. Find the magnitude of the electric field E at P.

q1 = +4 µCq2 = −5 µCr1 = 5 cmr2 = 15 cm
E = N/C
4.Medium
++2 µC−−6 µCP30 cm

A charge of +2 µC and a charge of −6 µC are 30 cm apart. Point P lies on the line between them, 22.5 cm from the first charge. Find the magnitude of the electric field E at P.

q1 = +2 µCq2 = −6 µCr1 = 22.5 cmr2 = 7.5 cm
E = N/C
5.Hard
+ + + + + +− − − − − −e⁻2.5 × 10⁷ m/s6 cmE = 3300 N/C

An electron enters the uniform field between two parallel plates moving parallel to them at 2.5 × 10⁷ m/s. The plates are 6 cm long and the field between them is 3300 N/C. Electron charge 1.602 × 10⁻¹⁹ C, mass 9.109 × 10⁻³¹ kg; ignore gravity. How far y is it deflected sideways when it leaves the plates? Give the answer in mm.

v₀ = 2.5 × 10⁷ m/sL = 6 cmE = 3300 N/Ce = 1.602 × 10⁻¹⁹ Cme = 9.109 × 10⁻³¹ kg
y = mm
6.Hard
5 cm3 cm+q1​ = +2 µC+q3​ = +4 µC+q2​ = +10 µC

Three positive point charges sit at the corners of a right triangle: q₃ = 4 µC is at the right-angle corner, q₁ = 2 µC is 5 cm from it along one side and q₂ = 10 µC is 3 cm from it along the other side. Find the magnitude of the net electric force F on q₃.

q1 = 2 µCq2 = 10 µCq3 = 4 µCr13 = 5 cmr23 = 3 cm
F = N

Answer key

  1. 1. F = 7.991 N
  2. 2. F′ = 64 N
  3. 3. E = 1.638 × 10⁷ N/C
  4. 4. E = 9.944 × 10⁶ N/C
  5. 5. y = 1.671 mm
  6. 6. F = 400.6 N

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