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1. (3 points) Figure presents an op-amp circuit. Determine the relationship between input and output voltages. 2. (3 points) A series RC circuit known as a washout filter is shown in Figure. This circuit (or filter) will "pass" the initial part of the dynamic output voltage response eo (voltage across the resistor) but will eventually "wash out" (i.e., reduce to zero) a constant input voltage. These filters are often used in control systems such as an aircraft's automatic flight control system. Derive the mathematical model with eo (voltage across the resistor) as the dynamic variable and source voltage en() as the input. www. < (1) R R www "0 3. (4 points) Figure shows a series RLC circuit driven by the voltage source en(). The circuit elements are resistance R. capacitance C, and inductance L. (the circuit elements initially have zero charge and zero current). Output voltage fo Derive the mathematical model with charge q(1) stored in the capacitor as the dynamic variable. Derive the mathematical model with charge I() in the circuit as the dynamic variable. C