Learning Materials
Features
Discover
Chapter 2: Q45P (page 108)
Let be a normal subgroup of a group and let be a homomorphism of groups such that the restriction of to is an isomorphism . Prove that , where is the kernel of f.
sdfghjk
Over 30 million students worldwide already upgrade their learning with Vaia!
All the tools & learning materials you need for study success - in one app.
Get started for free
Find the potential on the rim of a uniformly charged disk (radius R,
charge density u).
(a) Twelve equal charges, q,are situated at the comers of a regular 12-sided polygon (for instance, one on each numeral of a clock face). What is the net force on a test charge Qat the center?
(b) Suppose oneof the 12 q'sis removed (the one at "6 o'clock"). What is the force on Q?Explain your reasoning carefully.
(c) Now 13 equal charges, q,are placed at the comers of a regular 13-sided polygon. What is the force on a test charge Qat the center?
(d) If one of the 13 q'sis removed, what is the force on Q?Explain your reasoning.
A charge q sits at the back comer of a cube, as shown in Fig. 2.17.What is the flux of E through the shaded side?
Two infinitely long wires running parallel to the x axis carry uniform
charge densities and .
(a) Find the potential at any point using the origin as your reference.
(b) Show that the equipotential surfaces are circular cylinders, and locate the axis
and radius of the cylinder corresponding to a given potential .
A point charge qis at the center of an uncharged spherical conducting
shell, of inner radius aand outer radius b. Question:How much work would it take to move the charge out to infinity (through a tiny hole drilled in the shell)?
What do you think about this solution?
We value your feedback to improve our textbook solutions.
Explanations 
Textbooks 
Exams 
GCSE 
IGCSE 
AS 
A Level 
International A Level 
University Admissions Tests 
Flashcards 
Vaia AI 
Notes 
Study Plans 
Study Sets 
Find a job 
Find a degree 
Student Deals 
Magazine 
Mobile App