Two charges of 4,mu C each are placed at the | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The electric potential $V$ due to a point charge $q$ at a distance $r$ is given by $V = \frac{1}{4\pi \varepsilon_0} \frac{q}{r}$.Since the triang

Vedclass · Accepted Answer

$36 	imes {10^4}\,V$

Vedclass · Answer

(C) The electric potential $V$ due to a point charge $q$ at a distance $r$ is given by $V = \frac{1}{4\pi \varepsilon_0} \frac{q}{r}$.Since the triangle is equilateral with side length $0.2\, m$,the distance from both charges at $A$ and $B$ to point $C$ is $r = 0.2\, m$.The total potential at $C$ is the sum of potentials due to both charges:$V_C = V_A + V_B = \frac{1}{4\pi \varepsilon_0} \frac{q_A}{r} + \frac{1}{4\pi \varepsilon_0} \frac{q_B}{r}$Given $q_A = q_B = 4\,\mu C = 4 	imes 10^{-6}\, C$ and $r = 0.2\, m$:$V_C = 2 	imes \left( 9 	imes 10^9 	imes \frac{4 	imes 10^{-6}}{0.2} ight)$$V_C = 2 	imes (9 	imes 10^9 	imes 20 	imes 10^{-6})$$V_C = 2 	imes 18 	imes 10^4 = 36 	imes 10^4\, V$.

Two charges of $4\,\mu C$ each are placed at the corners $A$ and $B$ of an equilateral triangle of side length $0.2\, m$ in air. Find the electric potential at $C$. $\left[ {\frac{1}{{4\pi {\varepsilon _0}}} = 9 \times {{10}^9}\,\text{N m}^2/\text{C}^2} \right]$

Similar Questions

Two rings of radius $R$ are placed coaxially at a distance $R$ apart. They carry charges $Q_1$ and $Q_2$ respectively. How much work is required to move a charge $q$ from the center of one ring to the center of the other?

If four charges $+12 \text{ nC}, -20 \text{ nC}, +32 \text{ nC}$ and $-15 \text{ nC}$ are arranged at the four vertices of a square of side $\sqrt{2} \text{ m}$,then the net electric potential at the centre of the square due to these four charges is (in $\text{ V}$)

Draw a graph for the variation of electrostatic potential $V$ with distance $r$ from a point charge $Q$.

$A$ charge $Q$ is distributed over two concentric conducting thin spherical shells of radii $r$ and $R$ $(R > r)$. If the surface charge densities on the two shells are equal,the electric potential at the common centre is

Vedclass Test Series

Exam Paper Generator

Online Exam Module