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A charge 50 µc has electric field strength of 360 N...

A charge 50 µc has electric field strength of 360 NC-1 at a certain point. The electric field strength due to another charge 120 µc kept at the same distance apart and in the same medium is?

A.

864 NC-1

B.

150 NC-1

C.

144 NC-1

D.

18 NC-1

Correct answer is A

In general, electric field strength E = (F)/q

E = \(\frac{q}{4\pi\varepsilon_0d^2}\)

⇒ 360 = \(\frac{9\times10^9\times50\times10^-6}{d^2}\)

solving, we have \(d^2\) = 1250

putting \(d^2\) = 1250 into the second equation,

E = \(\frac{9\times10^9\times120\times10^-6}{1250}\)

we have E = \(864NC^-1\)