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1. Electric Charges and Fields
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Two small spheres each having the charge $ + Q$ are suspended by insulating threads of length $L$ from a hook. This arrangement is taken in space where there is no gravitational effect, then the angle between the two suspensions and the tension in each will be
A
${180^o},\,\frac{1}{{4\pi {\varepsilon _0}}}\frac{{{Q^2}}}{{{{(2L)}^2}}}$
B
${90^o},\,\frac{1}{{4\pi {\varepsilon _0}}}\frac{{{Q^2}}}{{{L^2}}}$
C
${180^o},\,\frac{1}{{4\pi {\varepsilon _0}}}\frac{{{Q^2}}}{{2{L^2}}}$
D
${180^o},\,\frac{1}{{4\pi {\varepsilon _0}}}\frac{{{Q^2}}}{{{L^2}}}$
(IIT-1986)
Solution
(a) The position of the balls in the satellite will become as shown below
Thus angle $\theta = 180°$ and Force $ = \frac{1}{{4\pi {\varepsilon _0}}} \cdot \frac{{{Q^2}}}{{{{(2L)}^2}}}$
Standard 12
Physics
