Question

# An AC circuit has a very small band width. What should be the resistance of the circuit?

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Solution

## Bandwidth: The bandwidth of a circuit can be defined as the total number of cycles below and above the resonant frequency to the frequency where the current is equal to or greater than $0.707$ times the resonant value.It can be mathematically expressed as $BW=0.707{I}_{max}$, where ${I}_{max}$ is maximum current.Also, current in a circuit is equal to $I=\frac{V}{R}$, where $V$ is voltage and $R$ is resistance.Therefore, when the resistance is low in the AC circuit, the bandwidth is narrow.Hence, for a very small bandwidth, the resistance of the circuit should be low.

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