Question

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

Answer 1

Bandwidth:

1. 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.
2. It can be mathematically expressed as $BW=0.707I_{max}$, where $I_{max}$ is maximum current.
3. Also, current in a circuit is equal to $I=\frac{V}{R}$, where $V$ is voltage and $R$ is resistance.
4. 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.