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
Byju's Answer Standard XII Physics
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 of10 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 resistance12 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 resistance12 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 resistance12 Ω
is bent in the form of an equilateral triangle. The effective resistance between any two corners of the triangle will be
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 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:
A24 ohm
B12 ohm
C6 ohm
D3 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=6ΩTwo resistances are in parallel.
Their equivalent resistance =
6+6 6×6 =3 ohm
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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
The correct Answer is A
Solution
R eq = 6 2 =3Ω Req=62=3Ω .
Answer
Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.
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