MHT CET · Physics · Capacitance
Charge on a parallel plate capacitor of capacity C is Q, the electric field intensity between its two plates separated by a distance of \(t\) is
- A \(\frac{\mathrm{Qt}}{\mathrm{C}}\)
- B \(\frac{\mathrm{Q}}{\mathrm{Ct}}\)
- C \(\frac{\mathrm{C}}{\mathrm{Qt}}\)
- D \(\frac{\mathrm{Ct}}{\mathrm{Q}}\)
Answer & Solution
Correct Answer
(B) \(\frac{\mathrm{Q}}{\mathrm{Ct}}\)
Step-by-step Solution
Detailed explanation
Electric field intensity between plates of a parallel plate capacitor is
\(\mathrm{E}=\frac{\mathrm{Q}}{\mathrm{~A} \varepsilon}\)
Capacitance of a parallel plate capacitor is
\(\begin{aligned}
& \quad \mathrm{C}=\frac{\mathrm{A} \varepsilon}{\mathrm{t}} \Rightarrow \mathrm{~A} \varepsilon=\mathrm{Ct} \\
& \therefore \quad \mathrm{E}=\frac{\mathrm{Q}}{\mathrm{Ct}}
\end{aligned}\)
...[From(i) and (ii)]
\(\mathrm{E}=\frac{\mathrm{Q}}{\mathrm{~A} \varepsilon}\)
Capacitance of a parallel plate capacitor is
\(\begin{aligned}
& \quad \mathrm{C}=\frac{\mathrm{A} \varepsilon}{\mathrm{t}} \Rightarrow \mathrm{~A} \varepsilon=\mathrm{Ct} \\
& \therefore \quad \mathrm{E}=\frac{\mathrm{Q}}{\mathrm{Ct}}
\end{aligned}\)
...[From(i) and (ii)]
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
- The moment of inertia of a ring about an axis passing through the centre and perpendicular to its plane is . It is rotating with angular velocity Another identical ring is gently placed on it so that their centres coincide. If both the rings are rotating about the same axis then loss in kinetic energy isMHT CET 2018 Medium
- The temperature at which thermoemf is zero isMHT CET 2009 Easy
- Consider the following circuit. By keeping \(S_1\) closed, the capacitor is fully charged and then \(S_1\) is opened and \(S_2\) is closed, then
MHT CET 2024 Medium - An electron moving around the nucleus with an angular momentum \(L\) has a magnetic moment ( \(e=\) charge on electron, \(m=\) mass of electron \()\)MHT CET 2022 Medium
- Two cells having unknown e.m.f.s \(\mathrm{E}_{1}\) and \(\mathrm{E}_{2}\left(\mathrm{E}_{1}>\mathrm{E}_{2}\right)\) are connected in potentiometer circuit so as to assist each other. The null point obtained is at 490
\(\mathrm{cm}\) from the higher potential end. When cell \(\mathrm{E}_{2}\) is connected so as to oppose cell \(\mathrm{E}_{1}\),
Ithe null point is obtained at \(90 \mathrm{~cm}\) from the same end. The ratio of the e.m.f.s of
two cells \(\left(\frac{\mathrm{E}_{1}}{\mathrm{E}_{2}}\right)\) isMHT CET 2020 Medium - An electron is projected along the axis of circular conductor carrying current I. Electron will experienceMHT CET 2023 Easy
More PYQs from MHT CET
- If and then k =MHT CET 2019 Hard
- Heat is supplied to a diatomic gas at constant pressure. The ratio of \(\Delta \mathrm{Q}: \Delta \mathrm{U}: \Delta \mathrm{W}\) is
[Given \(\rightarrow \Delta Q=\) heat supplied, \(\Delta U=\) change in internal energy, \(\Delta W\) \(=\) work done]MHT CET 2025 Medium - What is the value of \(\mathrm{K}_{\mathrm{sp}}\) for saturated solution of \(\mathrm{Ba}(\mathrm{OH})_2\) having pH 12 ?MHT CET 2025 Medium
- If \(\mathrm{m}\) is order and \(\mathrm{n}\) is degree of the differential equation \(\mathrm{y}=\frac{\mathrm{dp}}{\mathrm{dx}}+\sqrt{\mathrm{a}^2 \mathrm{p}^2-\mathrm{b}^2}\), where \(\mathrm{p}=\frac{\mathrm{dp}}{\mathrm{dx}}\), then the value of \(\mathrm{m}+\mathrm{n}\) isMHT CET 2021 Easy
- The contrapositive of the statement 'If Raju is courageous, then he will join Indian
Army', isMHT CET 2020 Easy - Which of the following equations represents the relation between solubility and solubility product for salt \(\mathrm{BA}_3\) ?MHT CET 2024 Easy