Electrical Circuits I: Theory and Applications, ELE 2001 – Spring 2026
Homework 1 - Due WK2.2 (10 pts)
1. The relationship between the period and frequency of sinewave is given by the equation:
1
𝑇=
𝑓
a. Find 𝑇 if 𝑓 = 1.0 𝑘𝐻𝑧
b. Find 𝑇 if 𝑓 = 2.0 𝑀𝐻𝑧
c. Find 𝑇 if 𝑓 = 5.8 𝐺𝐻𝑧
d. Find 𝑓 if 𝑇 = 500 µ𝑠
e. Find 𝑓 if 𝑇 = 0.5 µ𝑠
2. A 10W LED lamp is on continuously.
a. Calculate the amount of energy dissipated by the lamp over a 30-day period in the
units of MJ.
b. If the local utility charges $0.15/kWh, determine the cost to keep this lamp lit for a
30-day month.
3. A Battery Electric Vehicle (BEV) uses 0.25kWh/mi and has a maximum range of
approximately 300 miles.
a. Estimate the amount of energy that can be stored in the battery.
b. Estimate the electrical cost required to fully charge the battery assuming a local
utility cost of $0.15/kWh.
4. An Internal Combustion Engine (ICE) vehicle gets about 24mpg. Determine the cost to drive
300 miles if gasoline costs $2.75/gallon.
5. A residential photovoltaic system generates approximately 5.0kW at peak sunshine.
Assume that the average power generated is approximately 1.0kW over a 24-hour period.
If the system costs $25,000 to install, determine the pay-back period. Use an energy cost of
$0.15/kWh.
Select Answers:
1.a
T = 1.0ms
1.c
T = 172ps
1.e
f = 2.0 MHz
2.a
E = 25.93 MJ
3.a
E = 270.0 MJ
4
$34.38 for 300 Miles
5
Just over 19 years.