JEE Mains · Physics · STD 12 - Electric potential and capacitance
- JEE Mains 2022
- Medium
- MCQ
Two identical thin metal plates has charge \(q _{1}\) and \(q _{2}\) respectively such that \(q _{1}> q _{2}\). The plates were brought close to each other to form a parallel plate capacitor of capacitance \(C\). The potential difference between them is.
Pick an option to check your answer.
Answer & Solution
Correct Answer
(C) \(\frac{\left(q_{1}-q_{2}\right)}{2 C}\)
Step-by-step Solution
Detailed explanation
Flux \(\phi = EA=\frac{ q _{1}- q _{2}}{2 \varepsilon_{0}}\)
Electric field between plates \(E =\frac{ q _{1}- q _{2}}{2 A \varepsilon_{0}}\)
\(V = Ed =\frac{ q _{1}- q _{2}}{2 A \in_{0}} d\)
\(V =\frac{ q _{1}- q _{2}}{2 C }\)
More questions from Physics
- A spherically symmetric charge distribution is considered with charge density varying as \(\rho(r)=\left\{\begin{array}{ll}\rho_{0}\left(\frac{3}{4}-\frac{r}{R}\right) & \text { for } r \leq R \\ \text { Zero } & \text { for } r>R\end{array}\right.\) Where, \(r ( r < R )\) is the distance from the centre \(O\) (as shown in figure). The electric field at point \(P\) will be.
JEE Mains 2022 Hard - To increase the resonant frequency in series \(LCR\) circuit,JEE Mains 2022 Medium
- The frequency of revolution of the electron in Bohr's orbit varies with \(n\), the principal quantum number as _______.JEE Mains 2025 Easy
- A light string passing over a smooth light fixed pulley connects two blocks of masses \(m_1\) and \(m_2\). If the acceleration of the system is \(g / 8\), then the ratio of masses is _______.
JEE Mains 2024 Hard - A parallel-plate capacitor of capacitance \(40 \mu \mathrm{~F}\) is connected to a 100 V power supply. Now the intermediate space between the plates is filled with a dielectric material of dielectric constant \(\mathrm{K}=2\). Due to the introduction of dielectric material, the extra charge and the change in the electrostatic energy in the capacitor, respectively, areJEE Mains 2025 Medium
- An engine operates by taking \(n\,moles\) of an ideal gas through the cycle \(ABCDA\) shown in figure. The thermal efficiency of the engine is : (Take \(C_v =1 .5\, R\), where \(R\) is gas constant)
JEE Mains 2017 Hard
More PYQs from JEE Mains
- Two soap bubbles coalesce to form a single bubble. If \(V\) is the subsequent change in volume of contained air and \(S\) change in total surface area, \(T\) is the surface tension and \(P\) atmospheric pressure, then which of the following relation is correct?JEE Mains 2014 Hard
- Two hypothetical planets of masses \(m_1\) and \(m_2\) are at rest when they are infinite distance apart. Because of the gravitational force they move towards each other along the line joining their centres . What is their speed when their separation is \('d'\) ? (Speed of \(m_1\) is \(v_1\) and that of \(m_2\) is \(v_2\) )
JEE Mains 2014 Hard - A parallel plate capacitor with plate area \(A\) and plate separation \(d\) is filled with a dielectric material of dielectric constant \(K =4\). The thickness of the dielectric material is \(x\), where \(x < d\). Let \(C_1\) and \(C_2\) be the capacitance of the system for \(x =\frac{1}{3} d\) and \(x =\frac{2 d }{3}\), respectively. If \(C _1=2 \mu F\) the value of \(C _2\) is \(........... \mu F\)
JEE Mains 2023 Hard - A three coulomb charge moves from the point \((0, -2, -5)\) to the point \((5, 1, 2)\) in an electric field expressed as \(\vec{E} = 2x\hat{i} + 3y^2\hat{j} + 4\hat{k}\) N/C. The work done in moving the charge is _______ J.JEE Mains 2026 Hard