Two point particles A and B having charges of 4 × 10 –6 C and – 64 × 10 –6 C respectively are held at a separation of 90 cm. Locate the point(s) on the line AB or on its extension where the electric field is zero
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(30 cm from A along BA)
Sol.
The electric field cannot be zero in regions II and III
It can be zero only in regions 'I'.
(i) Let electric field is zero at point 'P' in I at distance 'x' from point A.
∴ Equating electric fields at point P, due to both charges [x in cm]
∴ 
∴ 
= 16
∴ 
or x = 30 cm
∴ At distance x = 30 cm from A along BA.
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