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Questions  

An infinite number of electric charges each equal to 5 nano - coulombs are placed along X - axis at x = 1 cm , x = 2 cm , x = 4 cm , x = 8 cm ..............  and so on.  Then the electric field at x = 0 (14πε0=9×109Nm2/c2)

a
12×104 N/C
b
24×104 N/C
c
60×104 N/C
d
48×104 N/C

detailed solution

Correct option is C

E=14π∈0[q12+q22+q42+..........]×110-4    =5×10−9×9×10910-4×11−14=60×104Nc

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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


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