A point charge q is placed at the origin. How does the electric field due to the charge vary with the distance r from the origin?
A
The electric field varies inversely as the square of the distance from the point charge.
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B
The electric field varies directly as the square of the distance from the point charge.
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C
The electric field varies inversely as the cube of the distance from the point charge.
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D
The electric field varies directly as the cube of the distance from the point charge.
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Solution
The correct option is A The electric field varies inversely as the square of the distance from the point charge. Electric field due to a point charge (q) is given by E=14πε0qr2; where r is the distance from the origin.
We can clearly see that E∝1r2 i.e, it varies inversely as the square of distance from the point charge.