Two resistors R1=4Ω and R2=8Ω are connected (i) in series and (ii) in parallel across the same ideal battery of emf E. Answer the following questions with proper reasoning.
(a) Without performing any numerical calculation, predict which resistor will dissipate more power in the series arrangement and justify your answer on the basis of the electrical quantity common to both resistors.
(b) Repeat the prediction for the parallel arrangement and explain your reasoning.
(c) Give a physical explanation for why the resistor that dissipates more power in the series case is different from the one that dissipates more power in the parallel case.