XII. AC Circuits - Worked Examples

MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics Spring 2003 XII. AC Circuits - Worked Examples example 1: Series RLC circuit A sinusoidal voltage () ()() is applied to a series RLC circuit with L = 160 mH, C = , and . (a) What is the impedance of the circuit ? (b) Let the current at any instant in the circuit be()()0sinItIt = . Find I0. (c) What is the phase constant ? Solution: (a) The impedance of a series RLC circuit is given by ()22 LCZRXX=+ ( ) where LXL = ( ) and 1 CXC = ( ) are the inductive reactance and the capacitive reactance, respectively.

XII. AC Circuits - Worked Examples Example 1: Series RLC Circuit A sinusoidal voltage Vt()=(40.0V)sin(100t) is applied to a series RLC circuit with L = 160 mH, C = 99.0µF, and R =Ω68.0 . (a) What is the impedance of the circuit?

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