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A battery of internal resistance 4 Ω is connected to the network of resistances, as shown in the figure. In order to deliver the maximum power to the network, what should be the value of R in ohm?

Correct answer

2

Step-by-step solution

The given figure is a balanced form of Wheatstone bridge therefore, 6R resistance can be removed. ∴ 1 R P = 1 R 1 + 1 R 2 = 1 3 R + 1 6 R = 1 2 R ⇒ R P = 2 R . The power delivered to the network is maximum when internal resistance = External resistance. 4 = 2 R ⇒ R = 2 Ω

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