In the circuit shown below, what is the function of the inductor?

Concept:

The name of the filter is decided by the type of frequency it passes:

Low pass filter:

This filter passes the low frequency and blocks or attenuates the high frequency.

Analysis:

\({V_0} = \left( {\frac{R}{{R + jwL}}} \right){V_1}\)

ω = 0,

V₀ = V₁

ω = ∞

V₀ = 0

As, low frequencies are passed and high frequencies are blocked therefore it is a low pass filter. 

High Pass Filter:

This filter passes the high frequency and blocks the low frequency.

Band Pass Filter:

This filter passes a certain band of frequencies and blocks low and high frequencies.

Band Stop Filter:

This filter blocks a certain band of frequencies and passes low and high frequencies.