1. Consider the circuit to the right. a. Write an equation for Vout in terms of...

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1. Consider the circuit to the right. a. Write an equation for Vout in terms of Vin and the components in the time-domain (that is, use the derivative version of the capacitor equation). C Vin H R www To Vout b. Write an equation for Vout in terms of Vin and the components in the s-domain (that is, use the Laplace transform version of the components.) c. If we excite Vin with a perfect sine wave, what is the frequency that would make the magnitudes of Vout and Vin equal? Express this frequency in terms of R and C and you may write it in hertz or radians/s as long as the units are labeled properly. 1. Consider the circuit to the right. a. Write an equation for Vout in terms of Vin and the components in the time-domain (that is, use the derivative version of the capacitor equation). C Vin H R www To Vout b. Write an equation for Vout in terms of Vin and the components in the s-domain (that is, use the Laplace transform version of the components.) c. If we excite Vin with a perfect sine wave, what is the frequency that would make the magnitudes of Vout and Vin equal? Express this frequency in terms of R and C and you may write it in hertz or radians/s as long as the units are labeled properly.