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
+ + + + + +− − − − − −e⁻E = 900 N/C

An electron (charge −1.602 × 10⁻¹⁹ C, mass 9.109 × 10⁻³¹ kg) is in a uniform electric field of 900 N/C. Ignoring gravity, find the magnitude of its acceleration a.

E = 900 N/C|q| = 1.602 × 10⁻¹⁹ Cm = 9.109 × 10⁻³¹ kg
a = m/s²
2.Easy
−−10 µC−−3 µCr = 5 cm

Two point charges of −10 µC and −3 µC are 5 cm apart. Find the magnitude of the electric force F between them. Use k = 8.99 × 10⁹ N·m²/C².

q1 = −10 µCq2 = −3 µCr = 5 cm
F = N
3.Medium
++10 µC++8 µCr = 10 cm

Two identical small metal spheres carry charges of +10 µC and +8 µC. They are touched together and then put back 10 cm apart. Find the magnitude of the force F between them now. Use k = 8.99 × 10⁹ N·m²/C².

q1 = +10 µCq2 = +8 µCr = 10 cm
F = N
4.Medium
++6 µC++1 µC++2 µC8 cm + 12 cm

Three point charges lie on a straight line: +6 µC on the left, +2 µC on the right 20 cm away, and +1 µC between them, 8 cm from the left charge. Find the magnitude of the net electric force F on the middle charge. Use k = 8.99 × 10⁹ N·m²/C².

qL = +6 µCqR = +2 µCqM = +1 µCrL = 8 cmrR = 12 cm
F = N
5.Hard
6 cm8 cm+q1​ = +10 µC+q3​ = +2 µC+q2​ = +6 µC

Three positive point charges sit at the corners of a right triangle: q₃ = 2 µC is at the right-angle corner, q₁ = 10 µC is 6 cm from it along one side and q₂ = 6 µC is 8 cm from it along the other side. Find the magnitude of the net electric force F on q₃.

q1 = 10 µCq2 = 6 µCq3 = 2 µCr13 = 6 cmr23 = 8 cm
F = N
6.Hard
L = 60 cm20°qq

Two identical small balls, each of mass 8 g, hang from the same point on insulating threads 60 cm long. They are given equal charges and each thread settles at 20° from the vertical. Use g = 9.81 m/s². Find the charge q on each ball in nC. Use k = 8.99 × 10⁹ N·m²/C².

m = 8 gL = 60 cmθ = 20°g = 9.81 m/s²
q = nC

Answer key

  1. 1. a = 1.583 × 10¹⁴ m/s²
  2. 2. F = 107.9 N
  3. 3. F = 72.82 N
  4. 4. F = 7.18 N
  5. 5. F = 52.71 N
  6. 6. q = 731.6 nC

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