Infinite charges of magnitude q each are lying at x =l , 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
12×109q N/C
b
Zero
c
6×109q N/C
d
4×109q 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 =l , 2, 4, 8 ... meter on x-axis. The value of intensity of electric field at point x = 0 due to these charges will be