A uniform electric field exists in the positi | vedclass

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

Question

(A) The electric field is given as $\vec{E} = E_0 \hat{i}$,where $E_0 > 0$.$1$. For points $A(0,0)$ and $B(1,0)$: The potential difference is $V_B - V

Vedclass · Accepted Answer

$V_A > V_B$ and $V_A = V_C$

Vedclass · Answer

(A) The electric field is given as $\vec{E} = E_0 \hat{i}$,where $E_0 > 0$.$1$. For points $A(0,0)$ and $B(1,0)$: The potential difference is $V_B - V_A = -\int_A^B \vec{E} \cdot d\vec{r} = -\int_0^1 E_0 dx = -E_0$.Since $E_0 > 0$,$V_B - V_A  V_B$.$2$. For points $A(0,0)$ and $C(0,1)$: The potential difference is $V_C - V_A = -\int_A^C \vec{E} \cdot d\vec{r}$. Since the electric field is in the $x$-direction and the displacement $d\vec{r}$ is in the $y$-direction,$\vec{E} \cdot d\vec{r} = 0$.Therefore,$V_C - V_A = 0$,which implies $V_A = V_C$.Combining these,we get $V_A > V_B$ and $V_A = V_C$.

$A$ uniform electric field exists in the positive $x$-direction. Let $A$ be the origin. Point $B$ is at $x = +1 \ cm$ on the $x$-axis and point $C$ is at $y = +1 \ cm$ on the $y$-axis. Which of the following relations is correct regarding the potentials at $A, B,$ and $C$?

Similar Questions

Two point charges $-q$ and $+q$ are located at points $(0,0,-a)$ and $(0,0, a)$ respectively. The electric potential at a point $(0,0, z)$,where $z>a$ is

The minimum work needed to be done to bring a charge $q=6 \mu C$ from $\infty$ to a point $0.75 \ m$ from a charge $Q=30 \mu C$ is (in $J$)

$A$ nerve fiber membrane separates two conducting fluids and maintains a constant potential difference. What is the order of this potential difference?

If the electric potential of the inner metal sphere of radius $a$ is $10 \text{ V}$ and that of the outer spherical shell of radius $b$ is $5 \text{ V}$,then the potential at the centre will be ...... $\text{V}$.

$A$ particle has a mass $400$ times that of an electron and a charge double that of an electron. It is accelerated by a potential difference of $5 \ V$. If the particle was initially at rest,what will be its final kinetic energy in $eV$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module