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.
