The work done in bringing a unit positive charge from infinity to a given point against the direction of electric field is known as:
Show Hint
electric flux
magnetic potential
electric potential
gravitational potential
The Correct Option is C
Solution and Explanation
Step 1: Electric potential (\( V \)) at a point is defined as the work done per unit charge to bring a positive test charge from infinity to that point.
\[ V = \frac{W}{q}. \] Step 2: This potential depends on the electric field but not on the path taken, as electrostatic forces are conservative.
Top Questions on Electrostatics
A 10 $\mu\text{C}$ charge is placed in an electric field of $ 5 \times 10^3 \text{N/C} $. What is the force experienced by the charge?
- MHT CET - 2025
- Physics
- Electrostatics
- Consider three metal spherical shells A, B, and C, each of radius \( R \). Each shell has a concentric metal ball of radius \( R/10 \). The spherical shells A, B, and C are given charges \( +6q, -4q, \) and \( 14q \) respectively. Their inner metal balls are also given charges \( -2q, +8q, \) and \( -10q \) respectively. Compare the magnitude of the electric fields due to shells A, B, and C at a distance \( 3R \) from their centers.
- CBSE CLASS XII - 2025
- Physics
- Electrostatics
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R
Assertion A: Work done in moving a test charge between two points inside a uniformly charged spherical shell is zero, no matter which path is chosen.
Reason R: Electrostatic potential inside a uniformly charged spherical shell is constant and is same as that on the surface of the shell.
In the light of the above statements, choose the correct answer from the options given below- JEE Main - 2025
- Physics
- Electrostatics
Electric charge is transferred to an irregular metallic disk as shown in the figure. If $ \sigma_1 $, $ \sigma_2 $, $ \sigma_3 $, and $ \sigma_4 $ are charge densities at given points, then choose the correct answer from the options given below:
- JEE Main - 2025
- Physics
- Electrostatics
- An electron is released from rest near an infinite non-conducting sheet of uniform charge density '–σ'. The rate of change of de-Broglie wavelength associated with the electron varies inversely as $n^{th}$ power of time. The numerical value of $n$ is ______.
- JEE Main - 2025
- Physics
- Electrostatics
Questions Asked in MH Board Class XII exam
The slope of the tangent to the curve \( x = \sin\theta \) and \( y = \cos 2\theta \) at \( \theta = \frac{\pi}{6} \) is ___________.
- MH Board Class XII - 2024
- Differentiation
- Evaluate: \[ I = \int \frac{5e^x}{(e^x + 1)(e^{2x} + 9)} \, dx. \]
- MH Board Class XII - 2024
- Integration
- A box with a square base is to have an open top. The surface area of the box is 147 cm\(^2\). What should its dimensions be in order that the volume is largest?
- MH Board Class XII - 2024
- Optimization
- If \( x = f(t) \) and \( y = g(t) \) are differentiable functions of \( t \), so that \( y \) is a function of \( x \) and \( \frac{dx}{dt} \neq 0 \), then prove that: \[ \frac{dy}{dx} = \frac{\frac{dy}{dt}}{\frac{dx}{dt}}. \] Hence find \( \frac{dy}{dx} \), if \( x = at^2 \), \( y = 2at \).
- MH Board Class XII - 2024
- Differentiation
Solve the following L.P.P. by graphical method:
Maximize:
\[ z = 10x + 25y. \] Subject to: \[ 0 \leq x \leq 3, \quad 0 \leq y \leq 3, \quad x + y \leq 5. \]- MH Board Class XII - 2024
- Linear Programming