This document contains the questions and blank answer spaces for 10 homework problems assigned in an Introduction to Electrical Engineering course. The problems cover various circuit analysis techniques including determining currents, applying Norton's and Thevenin's theorems, using nodal analysis and mesh analysis, calculating power in circuits, and determining capacitance values.

1. Home assignment 1, ESO 210: Introduction to Electrical Engineering, 2011
Problem 1.
Find the current I in the circuit.
Ans:
Problem 2.
Find the current I0 in the circuit using Norton’s theorem.
Ans:
Problem 3
Find the Thevenin equivalent at terminals a-b of the circuit.
Ans:

2. Problem 4
Determine the Thevenin equivalent of the circuit as seen from the terminals a-b.
Ans:
Problem 5
Use nodal analysis to find v0 in the circuit.
Ans: )26.7010cos(2154.6 3 o
+t
Problem 6
Determine Vo and Io in the circuit using mesh analysis.
Ans:

3. Problem 7
In the circuit below, o
30601 −∠=Z and o
45402 ∠=Z . Calculate the total: (a) apparent
power, (b) real power, (c) reactive power, and (d) pf.
Ans:
, , ,
Problem 8
When connected to a 120-V (rms), 60-Hz power line, a load absorbs 4 kW at a lagging power
factor of 0.8. Find the value of capacitance necessary to be added in parallel to the load to
raise the pf to 0.95.
Ans:
Problem 9
Find the wattmeter reading of the circuit.
Ans:
Problem 10
For each of the following cases, find the complex power, the average power, and the reactive
power.

4. Ans:
(a) 112+j194 VA, 112 W, 194 VAR.
(b) 141.42-j141.42 VA, 141.42 W, -141.42 VAR.
(c) 90.51+j64 VA, 90.51 W, 64 VAR.
(d) 7.701+j7.701 VA, 7.701 W, 7.701 VAR.