How can three resistors of resistances 2 Ohm, 3 Ohm and 6 Ohm be connected to give a total resistance of (a) 4Ohm, (b) 1Ohm?

There are three resistors of resistances 2 Ohm, 3 Ohm, and 6 Ohm respectively. (a) The following circuit diagram shows the connection of the three resistors. Here, 6 Ohm and 3Ohm resistors are connected in parallel. Therefore, their equivalent resistance will be given by This equivalent resistor of resistance 2Ohm is connected to a 2Ohm resistor in series. Therefore, the equivalent resistance of the circuit = 2 Ohm + 2Ohm = 4 Ohm Hence the total resistance of the circuit is 4Ohm.
(b) The following circuit diagram shows the connection of the three resistors. All the resistors are connected in series. Therefore, their equivalent resistance will be given as Therefore, the total resistance of the circuit is 1 Ohm.

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