Home
Class 12
PHYSICS
A wire of resistor R is bent into a circ...

A wire of resistor R is bent into a circular ring of radius r. Equivalent resistance between two points X and Y on its circumference, when angle XOY is a, can be given by-

A

`(Ralpha)/(4pi^(2)) (2pi - alpha)`

B

`R/(2pi)(2pi - alpha)`

C

`R(2pi - alpha)`

D

`(4pi)/(R alpha)(2pi - alpha)`

Text Solution

Verified by Experts

The correct Answer is:
A
Since, `I = rtheta =r alpha`
Length of arc. XWY = `r alpha`
Resistance of arc. XZY = `R/(2pir) xx ar = (Ralpha)/(2pi)`
Resistance of arc XZY `=R/(2pir) xx r(2pir) xx alpha r = (R alpha(2pi-alpha))/(4pi^(2))`
Promotional Banner

Similar Questions

Explore conceptually related problems

Find equivalent resistance between points A and B in the figure. Each resistance is R.

Six resistors each of 10 ohm are connected shown. The equivalent resistance between points X and Y is

A wire of resistance 4R is bent in the form of a circle. What is the effective resistance between the ends of the diameter?

A wire of resistance 4 R is bent in the form of a circle [Fig 4.4]. What is the effective resistance between the ends of the diameter ?

A wire of resistance 6R is bent in the form of a circle. What is the effective resistance between the ends of the diameter?

A wire of resistance 8R is bent in the form of a circle. What is the effective resistance between the ends of a diameter AB?

A wire is bent in the form of a triangle now the equivalent resistance between its one end and the mid point of the side is

In the adjoining network of resistors, each is of resistance r ohm, the equivalent resistance between points A and B is–