In this chapter, the following content will be discussed: The source free parallel RLC circuit, step response of a series RLC circuit, | Example Find i(t) in the circuit of following figure. Assume the circuit has reached steady state at t=0- Example related to The Source-Free Series RLC Circuit Lecture 31 The Source Free Parallel RLC Circuit Key Points Having found the capacitor voltage v(t) for the parallel RLC circuit, we can readily obtain other circuit quantities such as individual element currents. For example, the resistor current is iR =v/R and the capacitor voltage is vC = C dv/dt. We have selected the capacitor voltage v(t) as the key variable to be determined first in order to take advantage of following Eq. v(0+) = v(0−) Because the capacitor voltage is always continuous. Notice that we first found the inductor current i(t) for the RLC series circuit, whereas we first found the capacitor voltage v(t) for the parallel RLC circuit Example In the parallel circuit of following Fig., find v(t) for t > 0, assuming v(0) = 5 V, i(0) = 0, L = 1 H, and C = 10 mF. Consider these cases: R = , R = 5 , and R = . Example In the parallel circuit of following Fig., find v(t) for t > 0, assuming v(0) = 5 V, i(0) = 0, L = 1 H, and C = 10 mF. Consider these cases: R = , R = 5 , and R = . Example In the parallel circuit of following Fig., find v(t) for t > 0, assuming v(0) = 5 V, i(0) = 0, L = 1 H, and C = 10 mF. Consider these cases: R = , R = 5 , and R = . Example In the parallel circuit of following Fig., find v(t) for t > 0, assuming v(0) = 5 V, i(0) = 0, L = 1 H, and C = 10 mF. Consider these cases: R = , R = 5 , and R = . Example In the parallel circuit of following Fig., find v(t) for t > 0, assuming v(0) = 5 V, i(0) = 0, L = 1 H, and C = 10 mF. Consider these cases: R = , R = 5 , and R = . Example In the parallel circuit of following Fig., find v(t) for t > 0, assuming v(0) = 5 V, i(0) = 0, L = 1 H, and C = 10 mF. Consider these cases: R = , R = 5 , and R = . Example In the parallel circuit of following Fig., find | Example Find i(t) in the circuit of following figure. Assume the circuit has reached steady state at t=0- Example related to The Source-Free Series RLC Circuit Lecture 31 The Source Free Parallel RLC Circuit Key Points Having found the capacitor voltage v(t) for the parallel RLC circuit, we can readily obtain other circuit quantities such as individual element currents. For example, the resistor current is iR =v/R and the capacitor voltage is vC = C dv/dt. We have selected the capacitor voltage v(t) as the key variable to be determined first in order to take advantage of following Eq. v(0+) = v(0−) Because the capacitor voltage is always continuous. Notice that we first found the inductor current i(t) for the RLC series circuit, whereas we first found the capacitor voltage v(t) for the parallel RLC circuit Example In the parallel circuit of following Fig., find v(t) for t > 0, assuming v(0) = 5 V, i(0) = 0, L = 1 H, and C = 10 mF. Consider these cases: R = , R = 5 , and R =
