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
−−8 µC−−4 µCr = 15 cm

Two point charges of −8 µC and −4 µC are 15 cm apart. Find the magnitude of the electric force F between them. Use k = 8.99 × 10⁹ N·m²/C².

q1 = −8 µCq2 = −4 µCr = 15 cm
F = N
2.Easy
−−5 µCPr = 10 cm

Find the magnitude of the electric field E at a distance of 10 cm from a point charge of −5 µC. Use k = 8.99 × 10⁹ N·m²/C².

q = −5 µCr = 10 cm
E = N/C
3.Medium
++5 µC++4 µCP30 cm

A charge of +5 µC and a charge of +4 µC are 30 cm apart. Point P lies on the line between them, 18 cm from the first charge. Find the magnitude of the electric field E at P.

q1 = +5 µCq2 = +4 µCr1 = 18 cmr2 = 12 cm
E = N/C
4.Medium
++4 µC++5 µCE = 010 cm

Charges of +4 µC and +5 µC are 10 cm apart. At what distance x from the +4 µC charge, on the line between them, is the electric field zero?

q1 = +4 µCq2 = +5 µCd = 10 cm
x = cm
5.Hard
+ + + + + +− − − − − −e⁻3 × 10⁷ m/s6 cmE = 1100 N/C

An electron enters the uniform field between two parallel plates moving parallel to them at 3 × 10⁷ m/s. The plates are 6 cm long and the field between them is 1100 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 = 3 × 10⁷ m/sL = 6 cmE = 1100 N/Ce = 1.602 × 10⁻¹⁹ Cme = 9.109 × 10⁻³¹ kg
y = mm
6.Hard
6 cm8 cm+q1​ = +4 µC+q3​ = +3 µC+q2​ = +2 µC

Three positive point charges sit at the corners of a right triangle: q₃ = 3 µC is at the right-angle corner, q₁ = 4 µC is 6 cm from it along one side and q₂ = 2 µC is 8 cm from it along the other side. Find the magnitude of the net electric force F on q₃.

q1 = 4 µCq2 = 2 µCq3 = 3 µCr13 = 6 cmr23 = 8 cm
F = N

Answer key

  1. 1. F = 12.79 N
  2. 2. E = 4.495 × 10⁶ N/C
  3. 3. E = 1.11 × 10⁶ N/C
  4. 4. x = 4.721 cm
  5. 5. y = 0.3869 mm
  6. 6. F = 31.13 N

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