MHT CET · Physics · Current Electricity
A parallel plate condenser with oil (dielectric constant 2 ) between the plates has capacitance C. If oil is removed, the capacitance of capacitor becomes
- A \(\sqrt{2 C}\)
- B \(2 C\)
- C \(\frac{C}{\sqrt{2}}\)
- D \(\frac{C}{2}\)
Answer & Solution
Correct Answer
(D) \(\frac{C}{2}\)
Step-by-step Solution
Detailed explanation
The capacitance of a parallel plate capacitor with dielectric (oil) between its plates is.
\(C=\frac{K \varepsilon_{0} A}{d}\)
where \(\varepsilon_{0}=\) electric permittivity of free space \(K=\) dielectric constant \(A=\) area of each plate of capacitor \(d=\) distance between two plates When dielectric (oil) is removed, so capacitance
\(C_{0}=\frac{\varepsilon_{0} A}{d}\)
Comparing Eqs. (i) and (ii), we get
\(C=K C_{0}\)
\((\because K=2)\)
\(C=\frac{K \varepsilon_{0} A}{d}\)
where \(\varepsilon_{0}=\) electric permittivity of free space \(K=\) dielectric constant \(A=\) area of each plate of capacitor \(d=\) distance between two plates When dielectric (oil) is removed, so capacitance
\(C_{0}=\frac{\varepsilon_{0} A}{d}\)
Comparing Eqs. (i) and (ii), we get
\(C=K C_{0}\)
\((\because K=2)\)
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
- An electron is projected along the axis of circular conductor carrying current I. Electron will experienceMHT CET 2023 Easy
- A parallel plate capacitor with air medium between the plates has a capacitance of \(10 \mu \mathrm{F}\). The area of capacitor is divided into two equal halves and filled with two media (as shown in figure) having dielectric constant \(K_1=2\) and \(\mathrm{K}_2=4\). The capacitance of the system will be
MHT CET 2023 Medium - A uniformly charged conducting sphere of diameter 3.5 cm has a surface charge density of \(20 \mu \mathrm{C} \mathrm{m}^{-2}\). The total electric flux leaving the surface of the sphere is nearly
[permittivity of free space, \(\epsilon_0=8.85 \times 10^{-12} \mathrm{SI}\) unit]MHT CET 2025 Medium - Water is flowing steadily in a river. A and B are the two layers of water at heights 40 cm and 90 cm from the bottom. The velocity of the layer A is \(12 \mathrm{~cm} / \mathrm{s}\). The velocity of the layer B isMHT CET 2025 Medium
- The fundamental frequency of an air column in a pipe open at both ends is ' \(\mathrm{f}_1\) '. Now \(80 \%\) of its length is immersed in water, the fundamental frequency of the air column becomes \(f_2\). The ratio of \(f_1: f_2\) isMHT CET 2024 Medium
- The radius \(R\) of the soap bubble is doubled under isothermal condition. If \(T\) be the surface tension of soap bubble. The work done in doing so it given byMHT CET 2011 Medium
More PYQs from MHT CET
- If the vectors \(\vec{a}=2 \hat{i}+p \hat{j}+4 \hat{k}\) and \(\vec{b}=6 \hat{i}-9 \hat{j}+q \hat{k}\) are collinear, then \(\mathrm{p}\) and \(\mathrm{q}\) areMHT CET 2021 Easy
- In the alimentary canal of man, HCI provides acidic pH (pH 1.8) for action of ________.MHT CET 2023 Medium
- If \(p_{1}\) and \(p_{2}\) are the lengths of perendiculars from the origin to the lines
\(x \sin \theta+y \cos \theta=5 \cos 2 \theta\) and \(x \operatorname{cosec} \theta+y \sec \theta-5=0\) respectively, then
\(p_{1}^{2}+4 p_{2}^{2}=\)MHT CET 2020 Easy - A \(10 \mathrm{~m}\) long wire of resistance \(20 \Omega\) is connected in series with a battery of e.m.f.
3 volt and a resistance of \(10 \Omega\). The potential gradient along the wire in volt/meter
isMHT CET 2020 Easy - If \(f(x)=2 x^3-15 x^2-144 x-7\), then \(f(x)\) is strictly decreasing inMHT CET 2021 Medium
- When the battery across the plates of a charged condenser is disconnected and a dielectric slab is introduced between its plates then the energy storedMHT CET 2021 Medium