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Q.

An infinite number of electric charges each equal to 5 nano - coulombs (magnitude) are placed along X-axis at x = 1 cm, x = 2 cm, x = 4 cm, x = 8 cm ....... and so on. In this setup if the consecutive charges have opposite sign, then the electric field at x = 0 is14πε0=9 x 109N-m2/c2

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a

12 × 104 N/C

b

24 × 104 N/C

c

36 × 104 N/C

d

48 × 104 N/C

answer is C.

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Detailed Solution

14πε05 x 10-91 x 10-22-5 x 10-92 x 10-22+........

5 x 10-94πε0 x 10-41-14+116-164+........

=9 x 109 x 5 x 10-9 x 10-4 11+14

=36 x 104 N/C

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