A uniform conducting toroid of rectangular cross-section has the inner radius a, the outer radius b and the axial height h (Fig.). A sectorial strip subtending an angle π/2 is cut and removed from the remaining part of the toroid. If this remaining part is fitted with perfectly conducting strip conductors, find the resistance offered by this part to the flow of a steady current.
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
Sol. Consider an elemental strip of the toroid at a radius r, of radial width δ r.
∴ R el = 
= 
= 
All such strips are in parallel.
If the applied potential difference across this part of the toroid is V,
then J(r) = 
= 
= 
∴ Total current in the element, J(r)dS = 
ln 
∴ Total current, I= 
= 
ln 
Hence, R = 
= 
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems