Other
MIT 8.02 Conflict Exam 2 Solutions
- Course
- 8.02
- Institution
- Massachusetts Institute Of Technology
Conflict Exam 2 Solutions for Electricity and magnetism. *An Essential Study Resource!!
[Show more]
Content preview
MASSACHUSETTS INSTITUTE OF TECHNOLOGYDepartment of Physics
Physics 8.02 Spring Term 2022
Conflict Exam Two Solutions
Problem 1 (26 points):
You must show all your work to receive credit. That includes limits to any integral,
closed paths or areas of integration, and proper vector notation.
kÆ Æ
Ær Ær
Æ
I1 kÆ
toroid with N1windings,
each winding carrying a current I1
A toroid has N1 turns, with an inner radius a , outer radius b , and height h . The toroid
has a rectangular cross section shown in the figure above left.
a) When a steady current I1 is flowing in the direction shown in the figures above
through the toroid, find a vector expression for the magnetic field inside the toroid
as a function of distance r from the axis of the toroid in the region a < r < b ?
Express your answer in terms of N1 , a , b , h , µ0 , I1 , r , rö , »ö , and kö as
needed.
b) A very long solenoid with N 2 turns, length d , and radius w is placed at the
center of the toroid with a slowly varying increasing current I 2 (t) with the
current flowing in a direction as shown in the figure below, and such that
dI 2 / dt = c where c is a positive constant.
1
, w
I1
d
I 2 (t)
You may assume d is very long, so you can ignore edge effects. Find a vector expression
for the magnetic field due to the solenoid in the region 0 < r f w where r is the distance
from the axis of the solenoid in the region.
Express your answer in terms of N 2 , w , d , µ0 , r , I 2 , c , rö , »ö , and kö as needed.
c) Now suppose a circular ring of radius s for a < s < b is placed inside the toroid,
lying in a plane particular to kö -direction. Find the magnitude of the electromotive
force in the circular ring.
Express your answer in terms of N 2 , w , d , µ0 , r , I 2 , c , s , rö , »ö , and kö as needed.
2
,
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller anyiamgeorge19. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $14.99. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
75759 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now