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Question

(B) The electric field lines originate from the positive point charge $+q$ and terminate on the grounded metal plate. As we move from the point charge

Vedclass · Accepted Answer

$E_P > E_Q$

Vedclass · Answer

(B) The electric field lines originate from the positive point charge $+q$ and terminate on the grounded metal plate. As we move from the point charge $X$ towards the plate $Y$,the density of electric field lines increases because the field lines are converging towards the plate. The magnitude of the electric field is directly proportional to the density of the electric field lines. In the figure,point $Q$ is closer to the charge $X$ and point $P$ is closer to the plate $Y$. Since the field lines are more concentrated near the plate $Y$ compared to the region near the charge $X$ (due to the induced negative charge on the plate),the density of field lines at $P$ is greater than at $Q$. Therefore,the magnitude of the electric field at $P$ is greater than at $Q$,i.e.,$E_P > E_Q$.

$A$ point charge $+q$ is placed in front of a grounded metal plate. Points $P$ and $Q$ are between the charge $X$ and the plate $Y$ as shown in the figure. Let $E_P$ and $E_Q$ be the magnitudes of the electric fields at points $P$ and $Q$ respectively. Which of the following statements is true?

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