An infinite no.of electric charges each equal to 5nC are placed along X-axis at x=1cm,x=2cm,x=4cm,x=8cm and so on. In this setup, if the consecutive charges have opposite sign, then the electric field in newton/coulomb at x=0 is: (14πε0=9×109Nm2/c2)
12×104
36×104
24×104
48×104
A
48×104
B
36×104
C
12×104
D
24×104
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Solution
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E due to all positive charges will be in −^x direction and due to all negative charges will be in +^x direction E due to positive =k(5×10−9)(1×10−2)2+k(5×10−9)(4×10−2)2+k(5×10−9)(16×10−2)2+−−−−
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