SATHEE: electrostatic-potential-and-capacitance Question 17

इलेक्ट्रोस्टैटिक क्षमता और धारिता

Question: Q. 11. Two point charges $q_{1}$ and $q_{2}$ are located at $\vec{r}{1} $a n d$ \overrightarrow{r{2}} $r e s p e c t i v e l y i n a n e x t e r n a l e l e c t r i c f i e l d$ E$. Obtain the expression for the total work done in assembling this configuration.

A [Comptt. Delhi I, II, III 2014]

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Solution:

Ans. Work done in bringing the charge $q_{1}$ from infinity to the position $\vec{r_{1}}$

$W_{1} = q_{1} V (\vec{r_{1}})$

Work done in bringing the charge $q_{2}$ to the position $\vec{r_{2}}$

$W_{2} = q_{2} V (\vec{r_{2}}) + \frac{q_{1} q_{2}}{4 π ε_{0} r_{12}}$

$1 / 2 + 1 / 2$ Hence, total work done in assembling the two charges

$\begin{array}{r} W = W_{1} + W_{2} W = q_{1} V (\vec{r_{1}}) + q_{2} V (\vec{r_{2}}) + \frac{q_{1} q_{2}}{4 π ε_{0} r_{12}} \end{array}$

[CBSE Marking Scheme 2014]

Short Answer Type Questions-II

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इलेक्ट्रोस्टैटिक क्षमता और धारिता

Short Answer Type Questions-II

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