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 = 1600 N/C

An electron (charge −1.602 × 10⁻¹⁹ C, mass 9.109 × 10⁻³¹ kg) is in a uniform electric field of 1600 N/C. Ignoring gravity, find the magnitude of its acceleration a.

E = 1600 N/C|q| = 1.602 × 10⁻¹⁹ Cm = 9.109 × 10⁻³¹ kg
a = m/s²
2.Easy
++3 µC−−8 µCr = 30 cm

Two point charges of +3 µC and −8 µC are 30 cm apart. Find the magnitude of the electric force F between them. Use k = 8.99 × 10⁹ N·m²/C².

q1 = +3 µCq2 = −8 µCr = 30 cm
F = N
3.Medium
++3 µC−−5 µCP50 cm

A charge of +3 µC and a charge of −5 µC are 50 cm apart. Point P lies on the line between them, 30 cm from the first charge. Find the magnitude of the electric field E at P.

q1 = +3 µCq2 = −5 µCr1 = 30 cmr2 = 20 cm
E = N/C
4.Medium
++6 µC++4 µCE = 0100 cm

Charges of +6 µC and +4 µC are 100 cm apart. At what distance x from the +6 µC charge, on the line between them, is the electric field zero?

q1 = +6 µCq2 = +4 µCd = 100 cm
x = cm
5.Hard
+−P2 × 10 cm4 cm+3 µC−3 µC

Charges of +3 µC and −3 µC are 20 cm apart. Point P lies 4 cm from the midpoint between them, on the perpendicular bisector. Find the magnitude of the electric field E at P. Use k = 8.99 × 10⁹ N·m²/C².

q1 = +3 µCq2 = −3 µCd = 20 cmh = 4 cm
E = N/C
6.Hard
++P2 × 3 cm6 cm+3 µC+3 µC

Charges of +3 µC and +3 µC are 6 cm apart. Point P lies 6 cm from the midpoint between them, on the perpendicular bisector. Find the magnitude of the electric field E at P. Use k = 8.99 × 10⁹ N·m²/C².

q1 = +3 µCq2 = +3 µCd = 6 cmh = 6 cm
E = N/C

Answer key

  1. 1. a = 2.814 × 10¹⁴ m/s²
  2. 2. F = 2.397 N
  3. 3. E = 1.423 × 10⁶ N/C
  4. 4. x = 55.05 cm
  5. 5. E = 4.317 × 10⁶ N/C
  6. 6. E = 1.072 × 10⁷ N/C

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