Here we analyze the time response of the circuit in Figure 3 which contains capacitive and resistive elements and a voltage source, VS. The voltage source is switched between two nodes in the circuit, and we observe the voltage response across C1. All answers in this problem are looking for expressions in terms of VS, C1, C2, R1, and R2.
Initially for t<0 the switch connects the voltage source, VS to node 1 and the circuit is allowed to reach steady-state. What is the steady-state voltage, v(t), across C1 for t<0?
At t=0, the switch is repositioned to connect the voltage source to node 2 and the circuit is allowed to reach steady-state again. What is the voltage, v(t), across C1 after the circuit reaches steady-state?
We can use differential equations to write an expression for the voltage, v(t), across C1 for t>0. The homogeneous and particular solutions can be used to express the voltage, v(t)=H∗e−t/τ+P. Give expressions for H, P and τ.
τ
P
H
5 answers