Question

2 point charges 4x10-6 and 1 x 10-6 are separated by distance of 2m in air find the net electric field of the sustem is zero

Answer 1

thus the net electric field of the system is zero at pint x = 2/3.

Explanation:

Electric field at point p due to charge 4Q = Electric field at point p due to charge Q

E = Kq/r

K x 4Q/ x^2 = K x Q/ ( 1 -x)^2

4 x 10^-6 / x^2 = 1 x 10^-6 / ( 1 -x)^2

4 / x^2 = 1 /  ( 1 -x)^2

2 / x = ± (1 / 1-x)

2/x =  1 / 1-x or 2/x =  - (1 / 1-x)

x = 2 - 2x or -x = 2 - 2x

x + 2x = 2 or -x +2x = 2

3x = 2    or x = 2m (impossible)

x = 2 /3

thus the net electric field of the system is zero at pint x = 2/3.

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