Question

A wire of resistance 4 ohm is bent in the form of a circle. What is the effective resistance

between the two points at the ends of any diameter of the circle?​

Answer 1

Answer:

Question--A wire of resistance 4 ohm is bent in the form of a circle . what is the effective resistance between the ends of the diameter?

Solution:

In this question, we are given a straight wire (suppose AB) of resistance 4 ohm.

A_________________________________________B

Now, according to question, this wire is bent in the form of a circle.

Across the diameter, two equal parts of the wire, each having resistance of 4/2 i.e. 2 ohm are in parallel.

Thus, to calculate the equivalent resistance between the ends of the diameter, we use the formula for parallel combination of resistances),

1/R=1/2 + 1/2

or R=1 ohm.

Therefore, the effective resistance between the ends of the diameter is 1 ohm.