Electrostatics - Part 2: More examples, problems with solutions, MCQ Quizzes - related to Capacitance, Electric Flux, Electrostatic Potential

Electrostatics - Part 2: More examples, problems with solutions, MCQ Quizzes - related to Capacitance, Electric Flux, Electrostatic Potential

Target Audience: High School Students, College Freshmen and Sophomores, students preparing for the International Baccalaureate (IB), AP Physics B, AP Physics C, A Level, Singapore/GCE A-Level; 

Class 11/12 students in India preparing for ISC/CBSE and Entrance Examinations like the IIT-JEE/AIEEE Anyone else who needs this Tutorial as a reference!

This tutorial contains some more solved problems related to Electrostatics.

Here are some of the problems solved in this tutorial :

Some of these questions are from the Indian National Physics Olympiad.

Q: Consider two concentric metallic shells of radii a and b, where b > a. The outer shell has charge Q but inner shell has no charge. Now, the inner shell is grounded. Find the charge on the inner shell.

Q: A capacitor has rectangular plates of length a and width b. The top plate is slightly inclined upwards such that the separation is y0 at the left and is 2y0 at the right. (where y0 << a, b). Calculate the capacitance of the system.

Q: Consider a huge charge reservoir at potential V . A spherical capacitor C1 is brought in contact with the charge reservoir and then removed. Next another spherical capacitor C2 is brought in contact with C1 and removed. We repeat this process a large number of times. Assume that potential of reservoir does not change during this exercise. Then the charge on C2 after a very long time is...

Q: Consider a circle of radius R. A point charge lies at a distance a from its center and on its axis such that R = a √3. If electric flux passing through the circle is φ then the magnitude of the point charge is ..

Q: Two identical rings, each of radius a are places co-axially at a distance a apart. Let charges Q1 and Q2 be placed uniformly on the two rings. The work done in moving a charge q from the center of one ring to that of other ring is..

Q: Find the capacitance of a system of two identical metal balls of radius a if the distance between their centers is equal to b, with b > 2a. The system is located in a uniform dielectric with permittivity
unity.

Q: An electron with initial kinetic energy K0 is ejected at point A as shown in the figure.
(a) At what minimum distance L0 should the electron be ejected so as to miss the plate?
(b) Describe the ejected electron’s trajectory if L > L0 .


Tutorial with Solved Problems (MCQ Test-Quizzes at the end):








MCQ Quiz #1

Companion MCQ Quiz #1 for Electrostatics- test how much you know about the topic. Your score will be e-mailed to you at the address you provide.

MCQ Quiz #1: Electrostatics


MCQ Quiz #2

Companion MCQ Quiz #2 for Electrostatics- test how much you know about the topic. Your score will be e-mailed to you at the address you provide.

Electrostatics Quiz #2


In case you'd like to look through our other tutorials on Electrostatics and Electromagnetism :

 Electrostatics - Part 1: Theory, definitions and problems
 Columb's law. Electric Field Intensity, principle of superposition, gauss theorem, electrostatic potential, electric field intensities due to common charge distributions, capacitors and calculating capacitance. Solved problems.  

Electrostatics - Part 2: More solved problems.
More solved problems related to the concepts introduced above. 
Electromagnetism - Part 1: Theory and Definitions
 Lorentz Force, Bio-Savart law, Ampere's force law, basic laws related to Magnetic fields and their applications. Magnetic field intensities due to common current distributions. Electromagnetic Induction. Self and mutual induction. 
Electromagnetism - Part 2: Solved problems
Solved problems related to the concepts introduced above. 
 Advanced concepts in Electrostatics and Electromagnetism ( Theory only )
Advanced concepts related to electrostatics and electromagnetism (theory only).

 


 


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