using PlutoUI
Impedance practice
md"""## Impedance practice"""
Now that we have covered the concept of impedance, resistance, reactance and admittance in class, it is time for some practice.
Recall that
$$Z_{L}(s) = Ls \qquad \textrm{and} \qquad Z_{C}(s) = \dfrac{1}{Cs} $$
md"""Now that we have covered the concept of impedance, resistance, reactance and admittance in class, it is time for some practice.
Recall that
```math
Z_{L}(s) = Ls \qquad \textrm{and} \qquad Z_{C}(s) = \dfrac{1}{Cs}
```
"""
Exercise 1
Given the following circuit drive by a sinusoidal current source, calculate the time varying volage across the inductor:
md"""##### Exercise 1
Given the following circuit drive by a sinusoidal current source, calculate the time varying volage across the inductor:"""
Resource("https://i.ibb.co/X3ZZ1ZK/parallel.png")
Exercise 2
Suppose $V_C(0)=5$V at time $t=0$ across the capacitor (we will not get into how). Calculate an expression for the time varying voltage $V_C$, i.e. an expression $V_C(t)$ once the switch is closed.
md"""##### Exercise 2
Suppose $V_C(0)=5$V at time $t=0$ across the capacitor (we will not get into how). Calculate an expression for the time varying voltage $V_C$, i.e. an expression $V_C(t)$ once the switch is closed.
"""
Resource("https://i.ibb.co/XJSF1cv/series.png")