A wire of uniform resistance
is bent into a circle of radius
and another piece of wire with length
is connected between points
and
as shown in figure. The equivalent resistance between points
and
is
.

Text Solution
Verified by ExpertsThe correct answer is:
B
The wire bent into a circle of radius
has resistance
for the semicircular arcs, and the straight wire of length
has resistance
. The three paths between A and B (two semicircular arcs of the circle and one straight wire through center) are in parallel.

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
Two known resistances of and and one unknown resistance are connected in a circuit as shown in t…
The total length of potentiometer wire AB is 50 cm in the arrangement as shown in figure. If is th…
A battery with EMF and internal resistance is connected across a resistance . The power consumpt…
Which one of the following is not a measurable quantity?
A Wheatstone bridge is initially at room temperature and all arms of the bridge have same value of …
The reading of the ammeter ( ) in steady state in the following circuit (assuming negligible inter…