Electrostatic Potential and Capacitance Class 12 Case Study Questions Physics Chapter 2

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Last Updated on December 26, 2024 by XAM CONTENT

Hello students, we are providing case study questions for class 12 physics. Case study questions are the new question format that is introduced in CBSE board. The resources for case study questions are very less. So, to help students we have created chapterwise case study questions for class 12 physics. In this article, you will find case study questions for cbse class 12 physics chapter 2 Electrostatic Potential and Capacitance.

Chapter	Electrostatic Potential and Capacitance
Type of Questions	Case Study Questions
Nature of Questions	Competency Based Questions
Board	CBSE
Class	12
Subject	Physics
Unit	Unit 1 Electrostatics
Useful for	Class 12 Studying Students
Answers provided	Yes
Difficulty level	Mentioned
Important Link	Class 12 Physics Chapterwise Case Study

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Table of Contents

Case Study Questions on Electrostatic Potential and Capacitance

Questions

Question 1:

The electrical capacitance of a conductor is the measure of its ability to hold electric charge. An isolated spherical conductor of radius R and charge Q is uniformly distributed over its entire surface. It can be assumed to be concentrated at the centre of the sphere. The potential at any point on the surface of the spherical conductor will be

$$V=\frac{1}{4 \pi \varepsilon_0} \frac{Q}{R}$$

Capacitance of the spherical conductor situated in vacuum is

$$C=\frac{Q}{V}=\frac{Q}{\frac{1}{4 \pi \varepsilon_0} \cdot \frac{Q}{R}} \quad \text { or } \quad C=4 \pi \varepsilon_0 R$$

Clearly, the capacitance of a spherical conductor is proportional to its radius.

The radius of the spherical conductor is 1 F capacitance is $R=\frac{1}{4 \pi \varepsilon_0} . C$ and this radius is about 1500 times the radius of earth $\left(\sim 6 \times 10^3 \mathrm{~km}\right)$.

Read the given passage carefully and give the answer of the following questions:

Q. 1. If an isolated sphere has a capacitance 50 pF, then what is the radius of sphere?

Q. 2. How much charge should be placed on a capacitance of 25 pF to raise its potential to 105 V?

Q. 3. Metallic sphere of radius R is charged to potential V. Then charge q is proportional to which parameter?

Q. 4. If 64 identical spheres of charge q and capacitance C each are combined to form a large sphere, what will be the charge and capacitance of the large sphere?

Answers

1. Here, $C=50 \mathrm{pF}=50 \times 10^{-12} \mathrm{~F}$.

$$
\begin{aligned}
R & =\frac{1}{4 \pi \varepsilon_0} \cdot C=9 \times 10^9 \mathrm{mF}^{-1} \times 50 \times 10^{-12} \mathrm{~F} \\
& =45 \times 10^{-2} \mathrm{~m}=45 \mathrm{~cm}
\end{aligned}
$$

2. As, $q=C V=25 \times 10^{-12} \times 10^5=2.5 \mu \mathrm{C}$

3. As charge, $q=C V=\left(4 \pi \varepsilon_0 R\right) V$
$\therefore q$ depends on both $V$ and $R$, i.e., $q$ is proportional to both $R$ and $V$.

4. 64 small spheres have formed a single big sphere of radius $R$.
Volume of large sphere $=64 \times$ Volume of small sphere
$\therefore \quad \frac{4}{3} \pi R^3=64 \times \frac{4}{3} \pi r^3$
$\Rightarrow \quad R=4 r \quad$
and $\quad Q_{\text {total }}=64 q$
$\begin{array}{ll} & C^{\prime}=4 \pi \varepsilon_0 R \quad \Rightarrow \quad C^{\prime}=\left(4 \pi \varepsilon_0\right) \cdot 4 r \\ C^{\prime}=4 C\end{array}$
$\Rightarrow \quad C^{\prime}=4 C$

Also check

Case study questions for other chapters of class 12 physics is given below.

We hope the given case study questions for Electrostatic Potential and Capacitance Class 12 helps you in your learning.

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Topics from which case study questions may be asked

Electric Potential and Potential Difference
Electric Potential Due to Charges and Systems
Equipotential Surfaces
Electrical Potential Energy
Conductors and Insulators
Dielectrics and Electric Polarization
Capacitors and Capacitance
Energy Stored in a Capacitor

No work is done in moving a charge from one point to another over an equipotential surface.

For further practice on case study questions related to Electrostatic Potential and Capacitance Class 12 Physics, we recommend exploring the link given below.

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Frequently Asked Questions (FAQs) on Electrostatic Potential and Capacitance Case Study Questions

Q1: What are case study questions for CBSE examinations?

A1: Case study questions in CBSE examinations typically involve scenarios or real-life examples, requiring students to apply their understanding of concepts to solve problems or analyze situations.

Q2: Why are case study questions important for understanding class 12 physics chapters?

A2: Case study questions provide a practical context for students to apply theoretical knowledge to real-world situations, fostering deeper understanding and critical thinking skills.

Q3: How should students approach answering case study questions for CBSE?

A3: Students should carefully read the case study, identify the key issues or problems presented, analyze the information provided, apply relevant concepts and principles of chemical reactions and equations, and formulate well-supported solutions or responses.

Q4: Are there any resources available online for students to practice case study questions on class 12 physics chapters for CBSE exams?

A4: Yes, several educational websites offer case study questions for CBSE students preparing for science examinations. We also offer a collection of case study questions for all classes and subject on our website. Visit our website to access these questions and enhance your learning experience. If you need more case study questions for your preparation, then you visit Physics Gurukul website.

Q5: How can students effectively prepare for case study questions on “Electrostatic Potential and Capacitance” for CBSE exams?

A5: Effective preparation strategies include regular revision of concepts, solving practice questions, analyzing case studies from previous exams, seeking clarification on doubts, and consulting with teachers or peers for guidance and support.

Q6: How can teachers incorporate case study questions on “Electrostatic Potential and Capacitance” class 12 physics into classroom teaching?

A6: Teachers can integrate case studies into lesson plans, group discussions, or interactive activities to engage students in active learning, promote problem-solving skills, and facilitate a deeper understanding of “Electrostatic Potential and Capacitance”.

Q7: Can electric potential at any point in space be zero while intensity of electric field at that point is not zero?

A7: Yes, as at equatorial plane of an electric dipole.

Q8: Where does the energy of capacitor reside?

A8: Inside the electric field between the plates.

Q9: Do electrons tend to go to region of low or high potential?

A9: Electrons tend to go to high potential.

Q10: What is the capacitance of the earth?

A10: The capacitance of earth is infinity.

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