The given RLC circuit acts as a band stop filter. Let's understand why this is the case with a step-by-step explanation.

Understanding RLC Circuits: An RLC circuit consists of a resistor (R), an inductor (L), and a capacitor (C) connected in series or parallel. These components are used to filter signals by allowing certain frequencies to pass while blocking others.

Types of Filters:

• Low pass filter allows low frequencies and attenuates high frequencies.
• High pass filter allows high frequencies and attenuates low frequencies.
• Band pass filter allows a specific band of frequencies to pass and attenuates frequencies outside this band.
• Band stop filter, also known as a notch filter, attenuates a specific band of frequencies and allows frequencies outside this band to pass.

Working of Band Stop Filter:

The given RLC circuit is a parallel resonant circuit. In a parallel resonance, at the resonant frequency, the impedance becomes very high, creating a notch at this frequency. Therefore, frequencies around this notch are blocked or significantly attenuated, effectively acting as a band stop filter.

Conclusion:

The RLC filter shown in the image is configured to block a particular band of frequencies. This configuration is characteristic of a band stop filter.

Thus, the correct answer is: band stop filter.