JEE Mains · Physics · STD 12 - 2. Electric potential and capacitance
A parallel plate capacitor is filled equally (half) with two dielectrics of dielectric constant \(\varepsilon_1\) and \(\varepsilon_2\), as shown in figures. The distance between the plates is d and area of each plate is A. If capacitance in first configuration and second configuration are \(C_1\) and \(C_2\) respectively, then \(\frac{C_1}{C_2}\) is :
- A \(\frac{\varepsilon_1 \varepsilon_2^2}{\left(\varepsilon_1+\varepsilon_2\right)^2}\)
- B \(\frac{4 \varepsilon_1 \varepsilon_2}{\left(\varepsilon_1+\varepsilon_2\right)^2}\)
- C \(\frac{\varepsilon_1 \varepsilon_2}{\varepsilon_1+\varepsilon_2}\)
- D \(\frac{\varepsilon_0\left(\varepsilon_1+\varepsilon_2\right)}{2}\)
Answer & Solution
Correct Answer
(B) \(\frac{4 \varepsilon_1 \varepsilon_2}{\left(\varepsilon_1+\varepsilon_2\right)^2}\)
Step-by-step Solution
Detailed explanation
Area of plate is \(A\). then…
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
- To get output ‘\(1\)’ at \(R\), for the given logic gate circuit the input values must be
JEE Mains 2019 Hard - In the given circuit of potentiometer, the potential difference \(E\) across \(AB\) ( \(10\, m\) length) is larger than \(E _{1}\) and \(E _{2}\) as well. For key \(K _{1}\) (closed), the jockey is adjusted to touch the wire at point \(J_{1}\) so that there is no deflection in the galvanometer. Now the first battery \(\left( E _{1}\right)\) is replaced by second battery \(\left( E _{2}\right)\) for working by making \(K _{1}\) open and \(K _{2}\) closed. The galvanometer gives then null deflection at \(J _{2}\). The value of \(\frac{ E _{1}}{ E _{2}}\) is \(\frac{ a }{ b },\) where \(a =\) ...............
JEE Mains 2021 Medium - A parallel plate capacitor is having separation between plates \(0.885\) mm. It has a capacitance of \(1\,\mu\)F when the space between the plates is filled with an insulating material of resistivity \(1\times 10^{13}\,\Omega\)m and resistance \(17.7\times 10^{14}\,\Omega\). Relative permittivity of the insulating material is \(\alpha\times 10^7\). The value of \(\alpha\) is ________. (Take permittivity of free space \(=8.85\times 10^{-12}\) F/m)JEE Mains 2026 Hard
- The potential energy of a particle changes with distance \(x\) from a fixed origin as \(V = \dfrac{A\sqrt{x}}{x + B}\), where \(A\) and \(B\) are constant with appropriate dimensions. The dimensions of \(AB\) are _______.JEE Mains 2026 Easy
- A container is divided into two chambers by a partition. The volume of first chamber is \(4.5\) litre and second chamber is \(5.5\) litre. The first chamber contain \(3.0\) moles of gas at pressure \(2.0\, atm\) and second chamber contain \(4.0\) moles of gas at pressure \(3.0\, atm\) .After the partition is removed and the mixture attains equilibrium, then, the common equilibrium pressure existing in the mixture is \(x \times 10^{-1} atm\). Value of \(x\) is.........JEE Mains 2021 Hard
- The resistance per centimeter of a meter bridge wire is \(\mathrm{r}\), with \(\mathrm{X}\ \Omega\) resistance in left gap. Balancing length from left end is at \(40 \mathrm{~cm}\) with \(25\ \Omega\) resistance in right gap. Now the wire is replaced by another wire of \(2 \mathrm{r}\) resistance per centimeter. The new balancing length for same settings will be at _______.JEE Mains 2024 Hard
More PYQs from JEE Mains
- If \(z\) and \(w\) are two complex numbers such that \(|zw| = 1\) and \(arg(z) -arg(w) =\frac {\pi }{2},\) thenJEE Mains 2019 Hard
- The value of \(\cot \frac{\pi}{24}\) is :JEE Mains 2021 Hard
- A ceiling fan having 3 blades of length \(80 \mathrm{~cm}\) each is rotating with an angular velocity of \(1200\ \mathrm{rpm}\). The magnetic field of earth in that region is \(0.5 \ \mathrm{G}\) and angle of dip is \(30^{\circ}\). The emf induced across the blades is \(N \pi \times 10^{-5} \mathrm{~V}\). The value of \(\mathrm{N}\) is _______.JEE Mains 2024 Hard
- Let \(\vec A\, = \,(\hat i\, + \,\hat j)\,\) and \(\vec B\, = \,(2\hat i\, - \,\hat j)\,.\) The magnitude of a coplanar vector \(\vec C\) such that \(\vec A\cdot \vec C\, = \,\vec B\cdot \vec C\, = \vec A\cdot \vec B\) is given byJEE Mains 2018 Hard
- Given below are two statements: one is labelled as Assertion \(A\) and the other is labelled as Reason \(R\) Assertion \(A\): The phase difference of two light waves change if they travel through different media having same thickness, but different indices of refraction. Reason \(R:\) The wavelengths of waves are different in different media. In the light of the above statements, choose the most appropriate answer from the options given belowJEE Mains 2023 Medium
- Match List \(I\) with List \(II\)
Choose the correct answer from the options given below :LIST\(-I\) LIST\(-II\) \((A)\) Surface tension \((I)\) \(Kg m ^{-1} s ^{-1}\) \((B)\) Pressure \((II)\) \(Kg ms^{-1 }\) \((C)\) Viscosity \((III)\) \(Kg m ^{-1} s ^{-2}\) \((D)\) Impulse \((IV)\) \(Kg s ^{-2}\) JEE Mains 2023 Medium