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  • In figure, is an infinite line charge distribution. <img alt="\mathrm{P}" src="https://entrance

In figure, \mathrm{x y} is an infinite line charge distribution. \mathrm{P} and \mathrm{Q} are points as shown. The ratio of electric field at \mathrm{P} and \mathrm{Q} is -

Option: 1

1:1


Option: 2

1:2


Option: 3

2:1


Option: 4

1:4


Answers (1)

best_answer

The electric field due to an infinite line charge distribution at point \mathrm{p}.
\mathrm{\vec{E}_1=\frac{1}{2 \pi \epsilon_0} \frac{\lambda}{a}} and that is due to an infinite line charge distribution at point \mathrm{Q}
\mathrm{\bar{E}_2=\frac{1}{2 \pi \epsilon_0} \frac{\lambda}{a}}
Their ratio, 
                \mathrm{E_1: E_2=\frac{\frac{1}{2 \pi \epsilon_0} \frac{\lambda}{a}}{\frac{1}{2 \pi \epsilon_0} \frac{\lambda}{a}}=\frac{1}{1} \Rightarrow 1: 1}

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Nehul

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