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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 y>0 .

A

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

D

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

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