JEE Mains · Physics · STD 12 -6. Electromagnetic induction
An ideal capacitor of capacitance \(0.2\, μF\) is charged to a potential difference of \(10\,V\). The charging battery is then disconnected. The capacitor is then connected to an ideal inductor of self inductance \(0.5\,mH\). The current at a time when the potential difference across the capacitor is \(5\,V\), is.....\(A\)
- A \(0.17\)
- B \(0.15\)
- C \(0.34\)
- D \(0.25\)
Answer & Solution
Correct Answer
(A) \(0.17\)
Step-by-step Solution
Detailed explanation
Given: Capacitance, \(C=0.2\, \mu \mathrm{F}=0.2 \times 10^{-6}\,F\) Inductance \(\mathrm{L}=0.5\, \mathrm{mH}=0.5 \times 10^{-3}\, \mathrm{H}\) Current \(I=?\) Using energy conservation \(\frac{1}{2} C V^{2}=\frac{1}{2} C V_{1}^{2}+\frac{1}{2} L I^{2}\)…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- In the figure, a very large plane sheet of positive charge is shown. \(P _{1}\) and \(P _{2}\) are two points at distance \(l\) and \(2 \,l\) from the charge distribution. If \(\sigma\) is the surface charge density, then the magnitude of electric fields \(E_{1}\) and \(E_{2}\) at \(P _{1}\) and \(P _{2}\) respectively are
JEE Mains 2022 Medium - A polyatomic ideal gas has \(24\) vibrational modes. What is the value of \(\gamma\) ?JEE Mains 2021 Hard
- A parallel plate capacitor has charge \(5 \times 10^{-6} \mathrm{C}\). A dielectric slab is inserted between the plates and almost fills the space between the plates. If the induced charge on one face of the slab is \(4 \times 10^{-6} \mathrm{C}\) then the dielectric constant of the slab is ________.JEE Mains 2025 Medium
- Two coherent sources of sound, \(S_{1}\) and \(S_{2}\) produce sound waves of the same wavelength, \(\lambda=1\, m ,\) in phase. \(S_{1}\) and \(S_{2}\) are placed \(1.5\, m\) apart (see fig.) A listener, located at \(L,\) directly in front of \(S_{2}\) finds that the intensity is at a minimum when he is \(2\,m\) away from \(S _{2}\). The listener moves away from \(S _{1},\) keeping his distance from \(S_{2}\) fixed. The adjacent maximum of intensity is observed when the listener is at a distance \(d\) from \(S\)\(_{1}\). Then, \(d\) is\(......m\)
JEE Mains 2020 Hard - A uniformly charged solid sphere of radius \(R\) has potential \(V_0\) (measured with respect to \(\infty\)) on its surface. For this sphere the equipotential surfaces with potentials \(\frac{{3{V_0}}}{2},\;\frac{{5{V_0}}}{4},\;\frac{{3{V_0}}}{4}\) and \(\frac{{{V_0}}}{4}\) have rasius \(R_1,R_2,R_3\) and \(R_4\) respectively. ThenJEE Mains 2015 Medium
- The least count of a screw guage is 0.01 mm . If the pitch is increased by \(75 \%\) and number of divisions on the circular scale is reduced by \(50 \%\), the new least count will be _____ \(\times 10^{-3} \mathrm{~mm}\)JEE Mains 2025 Easy
More PYQs from JEE Mains
- Let \(f : R \to R\) be differentiable at \(c \in R\) and \(f(c) = 0\). If \(g\left( x \right) = \left| {f\left( x \right)} \right|\) , then at \(x =c, g\) isJEE Mains 2019 Hard
- Let \((\lambda, 2,1)\) be a point on the plane which passes through the ponit \((4,-2,2) .\) If the plane is perpendicular to the line joining the points \((-2,-21,29)\) and \((-1,-16,23),\) then \(\left(\frac{\lambda}{11}\right)^{2}-\frac{4 \lambda}{11}-4\) is equal toJEE Mains 2021 Hard
- A light cylindrical vessel is kept on a horizontal surface. Area of base is A. A hole of crosssectional area \('a'\) is made just at its bottom side. The minimum coefficient of friction necessary to prevent sliding the vessel due to the impact force of the emerging liquid is \((a\,<\,<\,A)\)
JEE Mains 2021 Hard - Let \(f:[1,\infty)\rightarrow\mathbb{R}\) be a differentiable function. If \(6\int_{1}^{x}f(t)dt=3xf(x)+x^{3}-4\) for all \(x\ge1\), then the value of \(f(2)-f(3)\) isJEE Mains 2026 Easy
- A square loop of area \(25\,cm ^2\) has a resistance of \(10\,\Omega\). The loop is placed in uniform magnetic field of magnitude \(40.0 T\). The plane of loop is perpendicular to the magnetic field. The work done in pulling the loop out of the magnetic field slowly and uniformly in \(1.0 sec\), will be \(..........\times 10^{-3}\)JEE Mains 2023 Hard
- A plane electromagnetic wave of frequency \(25\; \mathrm{GHz}\) is propagating in vacuum along the \(z-\)direction. At a particular point in space and time, the magnetic field is given by \(\overrightarrow{\mathrm{B}}=5 \times 10^{-8} \hat{\mathrm{j}}\; \mathrm{T}\). The corresponding electric field \(\overrightarrow{\mathrm{E}}\) is (speed of light \(\mathrm{c}=3 \times 10^{8}\; \mathrm{ms}^{-1})\)JEE Mains 2020 Easy