Two point charges of 20muC and 80muC are placed apart . Find the positive where the electric field is Zero
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Explanation:
The electric filed is zero at 6 cm from 20 micro coulomb charge.
Explanation:
Given that,
First point charge q_{1}= 20\times10^{-6}
Second point charge q_{2}= 80\times10^{-6}
Distance d = 18 cm
let x cm from 20 micro coulomb electric field would be zero.
According to the formula,
The electric field from a point charge 20 micro coulomb at point C.
E_{1}=\dfrac{k\timex 20\times 10^{-6}}{x^2}
The electric field from a point charge 80 micro coulomb at point C.
E_{2}=\dfrac{k\timex 80\times 10^{-6}}{(18-x)^2}
Net electric field at point C is zero
Thus, E_1=E_2
\dfrac{k\timex 20\times 10^{-6}}{x^2}=\dfrac{k\timex 80\times 10^{-6}}{(18-x)^2}
\dfrac{1}{x^2}=\dfrac{4}{(18-x)^2}
18-x=2x
x=6
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