A student has a large number of identical $2 \Omega$ resistors. He requires a circuit having an effective resistance of $9 \Omega$. What will be the minimum number of $2 \Omega$ resistors used for this? Draw the circuit diagram of this arrangement.

Explanation

To achieve an effective resistance of 9 ohms using 2 ohm resistors, the minimum number of 2 ohm resistors required is 5. This can be achieved by connecting 3 resistors in parallel, resulting in an effective resistance of 2/3 ohms, and then connecting the remaining 2 resistors in series to the parallel combination, resulting in an effective resistance of 9 ohms.

A student has a large number of identical $2 \Omega$ resistors. He requires a circuit having an effective resistance of $9 \Omega$. What will be the minimum number of $2 \Omega$ resistors used for this? Draw the circuit diagram of this arrangement.

Explanation

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