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# a wire of resistance 12 ohm is bent in the form of a circle

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## A wire has resistance 12 Ω. It is bent in the form of a circle. The effective resistance between the two points on any diameter is equal to

A wire has resistance 12 Ω. It is bent in the form of a circle. The effective resistance between the two points on any diameter is equal to

Series and Parallel Combination of Resistors

A wire has re... Question

A wire has resistance

12 Ω

. It is bent in the form of a circle. The effective resistance between the two points on any diameter is equal to

A 12 Ω B 6 Ω C 3 Ω D 24 Ω Open in App Solution

Step 1: Given that:

The resistance of wire = 12Ω

It is bent in the form of a circle.

Step 2: Calculation of the effective resistance between the two points on any diameter:

As the wire is bent in the form of a circle and the diameter divides a circle into two halves,

The resistance of the two parts will be equal.

That is;

The resistance of the part ACB = Resistance of the part ADB

Since, The resistance of the whole wire = 12Ω

Resistance of each equal part =

12Ω 2 = 6Ω Now,

Both the parts are connected in parallel, therefore the effective resistance between diameter AB will be given as;

1 R e f f = 1 6 Ω + 1 6 Ω 1 R e f f = 2 6 1 R e f f = 1 3 R e f f = 3 Ω Thus,

The effective resistance along any diameter will be

3 Ω . Thus, Option D) 3 Ω

is the correct option.

Suggest Corrections 9 SIMILAR QUESTIONS

Q. A resistance of

10 Ω

is bent to form a closed circle. What is the effective resistance between the two ends of any diameter of this circuit?

Q. A wire has resistance

12 Ω

. It is bent in the form of a circle. The effective resistance between the two points on any diameter is equal to

Q. A wire of resistance

12 Ω

per meter is bent to form a complete circle of radius 10cm. The resistance between its two diametrically opposite points,A and B is

Q. A wire of resistance 12 ohm is bent in the form of a circular ring. The effective resistance between the two points on any diameter of the circle is:Q. A wire having resistance

12 Ω

is bent in the form of an equilateral triangle. The effective resistance between any two corners of the triangle will be

स्रोत : byjus.com

## A wire of resistance 12 ohm is bent in the form of a circular ring. The effective resistance between the two points on any diameter of the circle is:

Click here👆to get an answer to your question ✍️ A wire of resistance 12 ohm is bent in the form of a circular ring. The effective resistance between the two points on any diameter of the circle is:

Question

A

B

C

D

## 3 ohm

Medium Open in App

Updated on : 2022-09-05

Solution Verified by Toppr

Correct option is D)

Resistance of wire is 12 ohm. Therefore, resistance of each semicircle = 6 ohm=6Ω

Two resistances are in parallel.

Their equivalent resistance =

6+6 6×6 ​ =3 ohm

Solve any question of Current Electricity with:-

Patterns of problems

>

174 20

स्रोत : www.toppr.com

## A wire has resistance 12 Omega. It is bent in the form of a circle. The effective resistance between two points across a diameter is.

R(eq) = (6)/(2) = 3 Omega.A wire has resistance 12 Omega. It is bent in the form of a circle. The effective resistance between two points across a diameter is.

Home > English > Class 12 > Physics > Chapter > Current Electricity >

A wire has resistance 12 Omega...

A wire has resistance

12Ω 12Ω

. It is bent in the form of a circle. The effective resistance between two points across a diameter is.

Updated On: 27-06-2022

( 00 : 20 ) ADVERTISEMENT Text Solution Open Answer in App A 3Ω 3Ω B 6Ω 6Ω C 12Ω 12Ω D 24Ω 24Ω Answer

Solution

R eq = 6 2 =3Ω Req=62=3Ω .

Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.

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