Figure 1 RL high-pass filter circuit In the Fig 1, V(t) is the voltage source L is inductor's inductance and R is the resistance. VL (t) is the output voltage. a) (2 points) Derive dynamic equations describing the relationship between voltage dynamics at the inductor VL (t) and the voltage source V(t). b) (2 points) Find transfer function G(s)=VL (s)/V(s), where VL (s) and V(s) are Laplace transform of the output VL(t) and the voltage source V(t) respectively. Assume that all initial conditions are zero. c) (2 points) Assume all initial conditions are zero. Compute VL(t) when sinusoidal input V(t)= sin(t) is applied to the system for the given parameters. Parameters: (L=1H,R=1Ω)