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Two point like charges having magnitude ...

Two point like charges having magnitude `=16 muC` and `-9muC` are separated by a distance 10 cm in air. The resultant electric field will bt zero at distance......from `-9muC` charge.

A

30 cm

B

20 cm

C

10 cm

D

40 cm

Text Solution

Verified by Experts

The correct Answer is:
A

Here `|vecE_(1)| =|vecE_(2)|`
`therefore q_(1)/(x+10)^(2) =q_(2)/x^(2)`
`therefore q_(1)/q_(2) =((x+10)/x)^(2)`
`therefore 16/9 =((x+10)/x)^(2)`
`therefore 4/3 =(x+10)/x`
`therefore 4x = 3x + 30, therefore x = 30 cm`
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