If the plates of a parallel plate capacitor connected to a battery are moved close to each other, then
A. the charge stored in it, increases.
B. the energy stored in it, decreases.
C. its capacitance increases.
D. the ratio of charge to its potential remains the same.
E. the product of charge and voltage increases.
Choose the most appropriate answer from the options given below:
- AA, B and E only
- BA, C and E only
- CB, D and E only
- DA, B and C only
View written solutionFree
Correct answer: B
Given $V^{\prime}=V=$ Constant
$$\begin{aligned} \text{(i)}\quad & C^{\prime}=\frac{\varepsilon_0 A}{d^{\prime}}, C=\frac{\varepsilon_0 A}{d} \\ & d^{\prime}< d \\ & C^{\prime}> C \end{aligned}$$
Hence, final capacitance greater than initial capacitance,
$$ \begin{aligned} \text { (ii) } \quad U^{\prime} & =\frac{1}{2} C^{\prime} V^2 \\ U & =\frac{1}{2} C V^2 \\ U^{\prime} & >U \end{aligned} $$
Hence final energy is greater than initial energy
$$ \begin{aligned} \text { (iii) }\quad \frac{Q^{\prime}}{V^{\prime}} & =C^{\prime} \text { and } \frac{Q}{V}=C \\ \frac{Q^{\prime}}{V^{\prime}} & \neq \frac{Q}{V} \end{aligned}$$
(iv) Product of charge and voltage
$$\begin{aligned} & X^{\prime}=Q^{\prime} V=C^{\prime} V^2 \\ & X=Q V=C V^2 \\ & X^{\prime}>X \end{aligned}$$
More from Capacitor
- A capacitor is connected to a battery, the electrostatic energy stored in the capacitor in is2024 · MCQ
- The capacitance of a capacitor with charge and a potential difference depends on2024 · MCQ
- The steady state current in the circuit shown below is : Includes diagram2024 · MCQ
- The equivalent capacitance of the arrangement shown in figure is: Includes diagram2023 · MCQ
- To produce an instantaneous displacement current of in the space between the parallel plates of a capacitor of capacitance , the rate of change of applied variable potential difference …2023 · MCQ
- The equivalent capacitance of the system shown in the following circuit is: Includes diagram2023 · MCQ
- The distance between the two plates of a parallel plate capacitor is doubled and the area of each plate is halved. If C is its initial capacitance, its final capacitance is equal to2022 · MCQ
- The effective capacitances of two capacitors are 3 F and 16 F, when they are connected in series and parallel respectively. The capacitance of two capacitors are :2022 · MCQ