Question
A toroidal solenoid of rectangular cross-section has inner radius a, outer radius b, height c, and has N turns. In this problem, c >> a
A toroidal solenoid of rectangular cross-section has inner radius a, outer radius b, height c, and has N turns. In this problem, c >> a and c >> b. The current in the solenoid is i(t) at time t .
(a) What is the magnetic field B(r) inside the solenoid as a function of radial position r from the symmetry axis of the solenoid? (b) What is the magnetic field outside the solenoid?
(c) The current is changing with time, so that the magnetic field changes with time. Sketch the solenoid and add electric field lines to your sketch.
(d) Carefully choose an appropriate loop with which to apply Faraday's law and indicate your loop on your sketch.
(e) Use your loop from (d) to calculate the electric field for values of the radial coordinate, r, for which r < a in terms of di/dt . What is the direction of the electric field?
(f) Now, calculate the electric field for values of the radial coordinate, r, for which a < r < b in terms of di/dt .
Step by Step Solution
There are 3 Steps involved in it
Step: 1
![blur-text-image](https://dsd5zvtm8ll6.cloudfront.net/includes/images/document_product_info/blur-text-image.webp)
Get Instant Access with AI-Powered Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
![blur-text-image](https://dsd5zvtm8ll6.cloudfront.net/includes/images/document_product_info/blur-subtext-image.webp)
Step: 3
![blur-text-image](https://dsd5zvtm8ll6.cloudfront.net/includes/images/document_product_info/blur-subtext-image.webp)
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started