waec model questions vol1 2021 physics

Objective Question 9

Question 9 WAEC_MODEL_QUESTIONS_VOL1 • 2021
Two point charges are placed on the y‑axis: a +8 µC charge at the origin O and a -2 µC charge at point A (0, 0.12 m). (a) Determine the magnitude and direction of the net electric field at point P (0.08 m, 0). (b) A test charge of +1 µC is moved from P to point Q (0, 0.20 m) along a straight line. Calculate the work done by the electric field on the test charge during this displacement. (c) Find the electric potential difference V_P - V_Q.
Answer Options
A. E ≈ 1.15×10⁷ N C⁻¹ at 2.1° above +x; work = 0.72 J; V_P‑V_Q = 6.90×10⁵ V
B. E ≈ 9.5×10⁶ N C⁻¹ at 5.2° above +x; work = 0.55 J; V_P‑V_Q = 5.80×10⁵ V
Correct Answer C. E ≈ 1.08×10⁷ N C⁻¹ at 3.8° above +x; work = 0.64 J; V_P‑V_Q = 6.40×10⁵ V
D. E ≈ 1.02×10⁷ N C⁻¹ at 4.5° above +x; work = 0.60 J; V_P‑V_Q = 6.20×10⁵ V
Correct Answer
C

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