Problem 4: Here's a dumb model of an FM radio receiver circuit: It is a circuit that has a resonance (big current I given driving voltage V) at the radiostation carrier frequency f, but very little response (small current given driving voltage) at the carrier frequency of other nearby radio stations. Assume that the response is given by something like V . = m exp(twt) , (7) I which is an equation that appears in the reading for a resonant circuit. What do you need to be true about R, L, and C for a radio to be tuned to the frequency of The Beat of New York KTU at 103.5 (what units are those?) , but have less than 10p ercent as much response to a pirate radio station operating at 103.7? Assume, for deniteness, that these two stations are impinging on the radio with the same voltage amplitude V. You are going to get one relationship between L and C to ensure that the radio is tuned to 103.5, and then there is a relationship also involving R to ensure that the radio is insensitive to 103.7. Notes: Be careful with your units! Also, frequencies are in Hz (cycles per second) but the equation above uses to (radians per second)