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Question

An infinite no.of electric charges each equal to 5 nC are placed along X-axis at x=1 cm,x=2cm,x=4 cm,x=8 cm 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)


  1. 12×104
  2. 36×104
  3. 24×104
  4. 48×104

A
48×104
B
36×104
C
12×104
D
24×104
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(5×109)(1×102)2+k(5×109)(4×102)2+k(5×109)(16×102)2+

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