Assertion (A): The equivalent resistance between points A and B in the given network is 2R.

Question: Assertion (A): The equivalent resistance between points A and B in the given network is 2R.

Reason (R): All the resistors are connected in parallel

The correct answer is –

Explanation:

In the given network, the resistors are not all connected in parallel. The circuit is a combination of series and parallel connections. To find the equivalent resistance between points A and B, we need to simplify the circuit step by step.

Starting from the rightmost branch of the circuit, we can combine R and 2R in series to get a total resistance of 3R. Now, we have two resistors of 3R in parallel with each other. Therefore, the equivalent resistance between points A and B can be calculated as:

1/Req = 1/3R + 1/3R => Req = 3R/2

So, the correct equivalent resistance between points A and B is 3R/2, not 2R. Therefore, assertion (A) is incorrect.

Reason (R) is also incorrect because all the resistors in the given circuit are not connected in parallel. The circuit consists of a combination of series and parallel connections.