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
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