A point charge q is surrounded symmetrically | vedclass

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

Question

(B) The potential $V$ at the centre due to the six identical charges $q$ placed at a distance $r$ is given by the sum of potentials from each charge:$

Vedclass · Accepted Answer

$6q^2 / (4\pi \varepsilon_0 r)$

Vedclass · Answer

(B) The potential $V$ at the centre due to the six identical charges $q$ placed at a distance $r$ is given by the sum of potentials from each charge:$V = 6 	imes \frac{1}{4\pi \varepsilon_0} \frac{q}{r} = \frac{6q}{4\pi \varepsilon_0 r}$The work done by the electrostatic forces when a charge $q$ is moved from the centre (where the potential is $V$) to infinity (where the potential is $0$) is given by:$W = q(V_{initial} - V_{final}) = q(V - 0) = qV$Substituting the value of $V$:$W = q 	imes \frac{6q}{4\pi \varepsilon_0 r} = \frac{6q^2}{4\pi \varepsilon_0 r}$

$X = x$	$0$	$1$	$2$	$3$
$P(X = x)$	$\frac{1}{10}$	$\frac{2}{10}$	$\frac{3}{10}$	$\frac{4}{10}$

$A$ point charge $q$ is surrounded symmetrically by six identical charges $q$ at a distance $r$ as shown in the figure. How much work is done by the forces of electrostatic repulsion when the point charge $q$ at the centre is moved to infinity?

Similar Questions

$2, 3$-dimethylhexane contains tertiary,secondary,and primary carbon atoms,respectively:

$\sinh^{-1}(2^{3/2})$ is equal to :

The probability distribution of a random variable $X$ is given below:
$X = x$ $0$ $1$ $2$ $3$
$P(X = x)$ $\frac{1}{10}$ $\frac{2}{10}$ $\frac{3}{10}$ $\frac{4}{10}$

Then the variance of $X$ is

Let $A$ and $B$ be two sets. Then $(A \cup B)' \cup (A' \cap B)$ is equal to:

If the pair of lines $ax^2 + 2(a + b)xy + by^2 = 0$ represent the diameters of a circle and divide the circle into four sectors such that the area of one sector is three times the area of the other,then:

Vedclass Test Series

Exam Paper Generator

Online Exam Module