Question

You want to construct an AC circuit that will function for almost all frequencies f except for a small range of frequencies f (20 Hz) centered around f_0 =200 Hz. To ensure the right behavior, you are asked to use a RLC circuit that will trigger a breaker if the power dissipated by the circuit is larger than the critical value of 120 W (which is half the maximal value). You are told that V_rms=120 V. You need to find the values of the components of your circuit, and what is the maximum power that would be dissipated if the breaker would not work properly. Recall that P_max/2 = P(omega=omega_0±Delta omega/2).
a) Draw a diagram that includes all the relevant quantities for this problem. What quantities do you need to find ?
b) What concepts and equations will you use to solve this problem?
c) Solve for R, L, C, and Pmax in term of symbols.
d) Solve R , L, C, and Pmax in term of numbers.
e) Verify the units, and verify if your values are plausible

Answer 1