Question 1 (25 points). Assume that you performed a sine-sweep experiment on an single loop series RLC circuit with voltage as the input and current as the output and got the following results: Frequency (rad s¹) | Input Magnitude (V) | Output Magnitude (A) 0.01 0.1 1 10 100 1000 1 1 1 1 1 10 10 10 1 0.1 0.01 Design a controller so that the bandwidth of the closed-loop is approximately 50 rads¹. Bonus (5 points): Based on the available information, can you tell what the capacitance of the circuit is?