Introduction:
The quality factor, also known as Q factor, is a measure of the efficiency of a resonant circuit. It indicates the sharpness of the resonance and the amount of energy stored and transferred by the circuit. The Q factor is defined as the ratio of the energy stored in the circuit to the energy dissipated per cycle.

Explanation:
When the resonant frequency of a circuit increases, the quality factor also increases. This means that the circuit becomes more efficient in storing and transferring energy. There are a few reasons why this happens:

1. Reduced energy losses:
As the frequency increases, the energy losses in the circuit decrease. This is because the reactance of the inductor and capacitor components of the circuit becomes more significant compared to the resistance. At high frequencies, the inductive and capacitive reactances dominate, and the resistive losses become relatively smaller. As a result, less energy is dissipated per cycle, leading to a higher Q factor.

2. Narrower bandwidth:
When the resonant frequency increases, the bandwidth of the circuit becomes narrower. The bandwidth is the range of frequencies around the resonant frequency where the circuit can efficiently transfer energy. A narrower bandwidth indicates a sharper resonance and a higher Q factor. This is because a narrower bandwidth allows the circuit to selectively respond to a specific frequency and reject frequencies that are far from resonance.

3. Increased energy storage:
As the frequency increases, the energy stored in the circuit also increases. This is because the reactances of the inductor and capacitor components increase with frequency. The inductor stores energy in its magnetic field, while the capacitor stores energy in its electric field. Both of these components contribute to the total energy stored in the circuit. When the frequency is higher, the reactances are larger, resulting in a higher amount of stored energy.

Conclusion:
In summary, when the resonant frequency of a circuit increases, the quality factor also increases. This is due to reduced energy losses, a narrower bandwidth, and increased energy storage. The higher Q factor indicates a more efficient and selective transfer of energy in the resonant circuit.