(A) Given: Distance $d = 5 \, mm = 5 \times 10^{-3} \, m$,Potential difference $V = 50 \, V$,Mass $m = 10^{-15} \, kg$,Charge $q = 10^{-11} \, C$.Elec

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(A) Given: Distance $d = 5 \, mm = 5 \times 10^{-3} \, m$,Potential difference $V = 50 \, V$,Mass $m = 10^{-15} \, kg$,Charge $q = 10^{-11} \, C$.Electric field $E = \frac{V}{d} = \frac{50}{5 \times 10^{-3}} = 10^4 \, V/m$.The force on the particle is $F = qE$.Using Newton's second law,$F = ma$,so $a = \frac{qE}{m}$.Substituting the values: $a = \frac{10^{-11} \times 10^4}{10^{-15}} = \frac{10^{-7}}{10^{-15}} = 10^8 \, m/s^2$.

Class 12 Physics Electric Potential and Capacitance Relation between Electric Field and Potential and Potential Gradient

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Two parallel plates are separated by a distance of $5 \, mm$. The potential difference between them is $50 \, V$. $A$ particle of mass $10^{-15} \, kg$ and charge $10^{-11} \, C$ enters the region with a velocity of $10^7 \, m/s$. The acceleration of the particle will be:

A
$10^8 \, m/s^2$
B
$5 \times 10^5 \, m/s^2$
C
$10^5 \, m/s^2$
D
$2 \times 10^3 \, m/s^2$

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Electric Potential and Capacitance

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Relation between Electric Field and Potential and Potential Gradient

$A$ charge of $5\,C$ experiences a force of $5000\,N$ when it is kept in a uniform electric field. What is the potential difference $V$ (in volts) between two points separated by a distance of $1\,cm$?

Easy

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The diagram below shows electric field lines in a region of space. Which of the following diagrams best shows the variation with distance $d$ of the potential $V$ along the line $XY$ as we move from $X$ to $Y$?

Medium

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In a certain region of space with volume $0.2 \ m^3$,the electric potential is found to be $5 \ V$ throughout. The magnitude of the electric field in this region is . . . . . . $N/C$.

EasyNEET 2020

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The electric field in a region of space is given as $E = (5x) \hat{i} \text{ N/C}$. Consider point $A$ on the $Y$-axis at $y = 5 \text{ m}$ and point $B$ on the $X$-axis at $x = 2 \text{ m}$. If the potentials at points $A$ and $B$ are $V_A$ and $V_B$ respectively, then $(V_B - V_A)$ is (in $\text{ V}$)

MediumAP EAMCET 2022

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Electric field at a point $(x, y, z)$ is represented by $\vec E = 2x\hat i + y^2\hat j$. If the potential at $(0, 0, 0)$ is $2 \, V$,find the potential at $(1, 1, 1)$. (in $/3$)

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Two parallel plates are separated by a distance of $5 \, mm$. The potential difference between them is $50 \, V$. $A$ particle of mass $10^{-15} \, kg$ and charge $10^{-11} \, C$ enters the region with a velocity of $10^7 \, m/s$. The acceleration of the particle will be:

Similar Questions

$A$ charge of $5\,C$ experiences a force of $5000\,N$ when it is kept in a uniform electric field. What is the potential difference $V$ (in volts) between two points separated by a distance of $1\,cm$?

The diagram below shows electric field lines in a region of space. Which of the following diagrams best shows the variation with distance $d$ of the potential $V$ along the line $XY$ as we move from $X$ to $Y$?

In a certain region of space with volume $0.2 \ m^3$,the electric potential is found to be $5 \ V$ throughout. The magnitude of the electric field in this region is . . . . . . $N/C$.

Electric field at a point $(x, y, z)$ is represented by $\vec E = 2x\hat i + y^2\hat j$. If the potential at $(0, 0, 0)$ is $2 \, V$,find the potential at $(1, 1, 1)$. (in $/3$)

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