A wire of resistance 16 W is bent in the form of a circle What is the effective resistance between d...........

General Science (Easy) Physics

A wire of resistance 16 W is bent in the form of a circle. What is the effective resistance between diametrically opposite points?

1 W

2 W

4 W

8 W

- A wire with a resistance of 16 ohms is bent to form a complete circle.

- The circle is effectively two semicircles connected in parallel between any two diametrically opposite points.

- Each semicircle has half the total resistance, which is 8 ohms.

- The formula for parallel resistance (\(R_{\text{parallel}}\)) is \( \frac{1}{R_{\text{parallel}}} = \frac{1}{R_1} + \frac{1}{R_2} \).

- So, \( \frac{1}{R_{\text{parallel}}} = \frac{1}{8} + \frac{1}{8} \).

- Solving this, we find \( R_{\text{parallel}} = 4 \) ohms.

The correct option is:

- Option 3: 4 ohms

Submit Error