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Vector Analysis

Quick practice

Question 1 of 5

A thin conducting plane is grounded as shown in the figure. A charge q is placed at distance d as shown in figure. Find the potential $V(\vec{r})$ at point $P(\vec{r})$ ,where .

A

$k q\left[\frac{2}{\sqrt{r^{2}+d^{2}-2 y d}}\right]$

B

$k q\left[\frac{1}{\sqrt{r^{2}+d^{2}-2 y d}}+\frac{1}{\sqrt{r^{2}+d^{2}+2 y d}}\right]$

C

$k q\left[\frac{1}{\sqrt{r^{2}+d^{2}-2 y d}}-\frac{1}{\sqrt{r^{2}+d^{2}+2 y d}}\right]$

D

$k q\left[\frac{1}{\sqrt{r^{2}+d^{2}-2 y d}}\right]$