A variable current source is connected across a fixed 20Ω resistor. The current supplied by the source increases uniformly from 0A at t=0s to 5A at t=10s. Carry out the following tasks:
(i) Write an expression for the current I(t) as a function of time during the interval 0≤t≤10s.
(ii) Hence obtain an expression for the instantaneous electrical power converted into heat in the resistor as a function of time.
(iii) Determine the total electrical energy dissipated in the resistor during the 10s interval.