waec model questions vol1 2019 physics
Objective • Question 19
Question 19
WAEC_MODEL_QUESTIONS_VOL1
•
2019
Two point charges are placed on the y‑axis: a charge +Q at the origin and a charge -2Q at the point (0, a). Determine the magnitude and direction of the resultant electric field at point P (a, 0). Express the magnitude in terms of k, Q and a, and give the direction as the angle measured counter‑clockwise from the positive x‑axis.
Answer Options
A.
Magnitude = (kQ\/a^2)·√(2+√2); Direction = 45° above the +x‑axis (tanθ = 1)
B.
Magnitude = (kQ\/a^2)·√(3‑√2); Direction = 60° above the +x‑axis (tanθ = √3)
C.
Magnitude = (kQ\/a^2)·√(2‑√3); Direction = 75° above the +x‑axis (tanθ = 2+√3)
Correct Answer
D.
Magnitude = (kQ/a^2)·√(2‑√2); Direction = 67.5° above the +x‑axis (tanθ = 1+√2)
Correct Answer
D
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