What is the magnitude of the electric field at a distance of 0.5 m from a point charge of 2 x 10^-6 C? (Use k = 9 x 10^9 N m^2/C^2)
Show the answer and explanation
Correct answer
B. 7.2 x 10^4 N/C
Principle or equation
Electric field due to a point charge: E = k Q / r^2.
Why this answer is correct
E = (9 x 10^9)(2 x 10^-6) / (0.5)^2 = (18 x 10^3) / 0.25 = 72 x 10^3 = 7.2 x 10^4 N/C.
Example
For Q = 1 x 10^-6 C at r = 1 m, E = 9 x 10^9 N/C.
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