EGR 203 Electric and Electronic Circuits Assignment 7

1. Suppose you have a Wheatstone bridge, shown below, with R₃ = R, the other resistances equal to 10 kΩ and V_s = 5 V. Plot the bridge voltage as a function of R for 5 kΩ ≤ R ≤ 20 kΩ.

   

2. Given the circuit below, with R=22.8 kΩ and C = 10 nF. Find the time constant τ and the equation for the voltage across the capacitor as a function of time if the voltage input is 2 V for t ≤ 0 and 5 V for t > 0. Plot the results for a time of at least five time constants.

   

3. Do the problem above in Multisim, using a pulse source and both oscillocope simulation and transient analysis (see RC_multisim.ppt).

4. 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

5. 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.

6. 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.

7. 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.

8. 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 11 October 2012