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  • In the given figure distance of the point from A where the electric field is zero is-Option: 1 20 cmOpt

In the given figure distance of the point from A where the electric field is zero is-

Option: 1

20 cm


Option: 2

10 cm


Option: 3

33 cm


Option: 4

None


Answers (1)

best_answer

 


Now,

\mathrm{ \begin{aligned} \frac{1}{4 \pi t_0} \frac{10}{x^2} & =\frac{1}{4 \pi \epsilon_0} \frac{20}{(80-x)^2} \\ \frac{1}{x^2} & =\frac{2}{(80-x)^2} \\ 2 x^2 & =(80-x)^2 \\ \sqrt{2} x & =80-x \\ & \therefore(t+\sqrt{2})=80 \\ x & =\frac{80}{1+\sqrt{2}} \times \frac{1-\sqrt{2}}{1-\sqrt{2}} \\ x & =\frac{80(1-\sqrt{2})}{1-2}=33 \mathrm{~cm} . \end{aligned}}

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