An electric charge 10^{-3} mu C is placed at | vedclass

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

Question

(C) The distance of point $A(\sqrt{2}, \sqrt{2})$ from the origin is:$OA = \sqrt{(\sqrt{2})^2 + (\sqrt{2})^2} = \sqrt{2 + 2} = \sqrt{4} = 2 	ext{ uni

Vedclass · Accepted Answer

$0$

Vedclass · Answer

(C) The distance of point $A(\sqrt{2}, \sqrt{2})$ from the origin is:$OA = \sqrt{(\sqrt{2})^2 + (\sqrt{2})^2} = \sqrt{2 + 2} = \sqrt{4} = 2 	ext{ units}$.The distance of point $B(2, 0)$ from the origin is:$OB = \sqrt{(2)^2 + (0)^2} = \sqrt{4} = 2 	ext{ units}$.The electric potential $V$ at a distance $r$ from a point charge $Q$ is given by $V = \frac{1}{4\pi\epsilon_0} \frac{Q}{r}$.Since both points $A$ and $B$ are at the same distance $r = 2 	ext{ units}$ from the charge $Q = 10^{-3} \mu C$ placed at the origin,the potentials at these points are equal:$V_A = \frac{1}{4\pi\epsilon_0} \frac{Q}{OA}$ and $V_B = \frac{1}{4\pi\epsilon_0} \frac{Q}{OB}$.Since $OA = OB = 2$,it follows that $V_A = V_B$.Therefore,the potential difference between points $A$ and $B$ is:$V_A - V_B = 0 	ext{ V}$.

An electric charge $10^{-3} \mu C$ is placed at the origin $(0, 0)$ of an $X-Y$ coordinate system. Two points $A$ and $B$ are situated at $(\sqrt{2}, \sqrt{2})$ and $(2, 0)$ respectively. The potential difference between the points $A$ and $B$ will be.......$V$.

Similar Questions

$A$ uniform electric field exists in the plane of the paper as shown. Here $A, B, C$, and $D$ are points on the circle. $V_{A}, V_{B}, V_{C}$, and $V_{D}$ are the potentials at those points respectively. Then:

What is an equipotential surface? Draw equipotential surfaces for:
$(1)$ $A$ single point charge
$(2)$ $A$ dipole (charges $+q$ and $-q$ at a small distance)
$(3)$ Two $+q$ charges at a small distance
$(4)$ $A$ uniform electric field.

Assertion $(A)$: In a region of constant potential,the electric field is zero and there can be no charge inside the region.
Reason $(R)$: According to Gauss's law,the charge inside the region should be zero if the electric field is zero.

There is $10$ units of charge at the centre of a circle of radius $10\,m$. The work done in moving $1\,unit$ of charge around the circle once is...........$units$.

If a unit positive charge is taken from one point to another over an equipotential surface,then

Vedclass Test Series

Exam Paper Generator

Online Exam Module