An infinite number of point charges, each carrying 1 $\mu$C charge, are placed along the y-axis at y = 1 m, 2 m, 4 m, 8 m ...............The total force on a 1C point charge, placed at the origin, is x $\times$ 103 N.The value of x, to the nearest integer, is __________. [Take ${1 \over {4\pi {\varepsilon _0}}} = 9 \times {10^9}$ Nm2/C2]

Question

An infinite number of point charges, each carrying 1 $\mu$C charge, are placed along the y-axis at y = 1 m, 2 m, 4 m, 8 m ...............

The total force on a 1C point charge, placed at the origin, is x $\times$ 10³ N.

The value of x, to the nearest integer, is __________. [Take ${1 \over {4\pi {\varepsilon _0}}} = 9 \times {10^9}$ Nm²/C²]

Correct Answer

Solution

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