Home » Maths for Planet Earth » Warming up a Solar Cell

Warming up a Solar Cell


The temperature T˚C of a solar cell during a 24 hour period is modelled as 

\[T = 20 – k\left( 15 – \frac{5t}{4} \right)^{2}\ ,\ \ \ 0 \leq t \leq 24\]

Where t is the time in hours after midnight and k is a positive constant

The temperature of the solar cell at midnight is 5˚C.

a) Use this information to find the value of k in the model.

[2 marks]

b) Find, according to the model, the temperature of the solar cell at 8:30 am.

[2 mark]

c) Determine the greatest temperature of the solar cell and the time at which this temperature occurs.

[3 marks]

d) State one limitation of the model

[1 mark]

Start exploring

Latest from blog

More Maths for Planet Earth

This graph, from the IPCC 1.5°C report, shows how the rate of carbon dioxide emissions varies with time in two scenarios in which global
A Level
Human-induced global warming is causing deserts such as the Sahara to increase in surface area. In 1950 the area of the Sahara Desert was
Here is a pie chart taken from Mike Berners-Lee’s book There is no Planet B.  a) Calculate angle x. (shown on graph in the
A Level
a) Use the substitution (u = 4 – sqrt{s}) to show that [int_{}^{}frac{text{dh}}{4 – sqrt{s}} = – 8lnleft| 4 – sqrt{s} right| – 2sqrt{s}