Answer the questions given below with reference to alternating current:
a. (i) Define the following terms for an alternating current: peak value, average value (over half a cycle), and root–mean–square value.
b. (ii) Give a reasoned explanation of which of the above quantities is most suitable for specifying the rating of household electrical appliances.
c. (iii) For a pure resistor of resistance R carrying an alternating current i(t)=Imsinωt, show that the average power dissipated over one complete cycle is VrmsIrms.