Q.

Infinite charges of magnitude q each are lying at x =1, 2, 4, 8... meter on X-axis. The value of intensity of electric field at point x = 0 due to these charges will be

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a

12×109 q N/C

b

Zero

c

6×109 q N/C

d

4×109 q N/C

answer is A.

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Detailed Solution

Net field at origin E=q4πε0112+122+142+....∞=q4πε01+14+116+.....∞=q4πε011−14=12×109q N/C
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Infinite charges of magnitude q each are lying at x =1, 2, 4, 8... meter on X-axis. The value of intensity of electric field at point x = 0 due to these charges will be