Menoufia University Renewable & Sustainable Energy Engineering
Faculty of Engineering Course Code: RSE-C201
Shebin El-Kom Course Title: Solar Energy
Sheet #1
Geometry of Solar Radiation
1. Calculate the fraction of the extraterrestrial solar radiation and the amount of that radiation in the
portion of the spectrum between 0.33 and 0.86 μm.
2. Calculate the extraterrestrial radiation incident on the plane normal to the radiation on the first
day of each month of the year
3. Calculate the solar declination for the spring and fall equinoxes, the summer and winter solstices,
and the mid-day of each month.
4. Calculate the sunrise time, sunset time and the solar-noon time on September 16th for
Alexandria, Egypt.
5. Calculate the sunrise and sunset times and day length for the spring and fall equinoxes and the
summer and winter solstices at 45°N latitude and 35°E longitude.
6. Determine the solar altitude and azimuth angles at 10:00 am local time for Rome, Italy, on June
10.
7. Calculate the solar zenith and azimuth angles, the sunrise and sunset times, and the day length
for Cairo, Egypt, at 10:30 am solar time on February 11.
8. Calculate the sunrise and sunset times and altitude and azimuth angles for London, England, on
March 15 and September 15 at 10:00 am and 3:30 pm solar times.
9. What is the solar time in Denver, Colorado, on June 10 at 10:00 am Mountain Standard Time?
(Task, search for Denver’s latitude and Longitude as well as the meridian for Mountain LST)
10. A flat-plate collector in Nicosia, Cyprus, is tilted at 40° from horizontal and pointed 10° east of
south. Calculate the solar incidence angle on the collector at 10:30 am and 2:30 pm solar times
on March 10 and September 10.
11. A vertical surface in Athens, Greece, faces 15° west of due south. Calculate the solar incidence
angle at 10:00 am and 3:00 pm solar times on January 15 and November 10.
12. As an assignment using a spreadsheet program or a computer program segment, try to create a
program that estimates all solar angles corresponding to given latitude, day of year, hour, and
slope of surface.
a) Inputs: latitude, time of day, and slope of surface
Output: For Each Day: solar zenith angle, solar azimuth angle, solar incidence angle, Day Length
b) Inputs: latitude, day of year, and slope of surface
Output: For Each Hour (LST): solar zenith angle, solar azimuth angle, solar incidence angle