EGR 203 Electric and Electronic Circuits Assignment 3(b)

1. Find the period and the average and rms value of x(t) where
   x(t) = 2 cos(8πt) + 5

2. A 30V rms AC source is connected across a 50Ω resistor. Find the average power dissipated in the resistor, and the amplitude of the AC voltage.

3. Given an ac voltage expressed as
   v(t) = 4 sin(300t + 30°)

   Express the voltage as a cosine function (instead of the sine function).

4. Find the average value and rms value of the signal below.

   

5. Suppose we have a coil of 600 turns of copper wire wrapped around a wooden spool 1.2 cm in diameter and 0.8 cm long. Assume that the relative permeability of wood is one. Find the inductance of this coil

6. If we have a current of 500 mA flowing through and inductance of 12 mH, find the magnetic flux through the coil and the energy stored in the magnetic field.

7. Given two inductances, 8 mH and 24 mH, find the equivalent inductance if they are connected in parallel and then if they are in series.

8. The current through a 250-mH inductor is given by i_L = 5 sin(25t) A. Calculate the expression for the voltage across the inductor.

9. (Rizzoni 4.10) Find the energy stored in each capacitor and inductor, under steady-state conditions, in the circuit below.
   Assume V₀ = 6 V, L = 2 H, C₁ = 2 F, C₂ = 1 F, C₃ = 3 F, R₁ = 2 Ω, R₂ = 4 Ω, R₃ = 6 Ω, and R₄ = 8 Ω,

   

Maintained by John Loomis, last updated 30 September 2014