Physics
Physics
Problem
Two resistors and are connected (i) in series and (ii) in parallel across the same ideal battery of emf . Answer the following questions with proper reasoning. a. (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. (b) Repeat the prediction for the parallel arrangement and explain your reasoning. c. (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.Intuitive explanation
When resistors combine, their total resistance changes in predictable ways—and that resistance directly determines how much current flows and how voltage divides. In series, resistances add because current must fight through both obstacles sequentially; in parallel, the combined resistance shrinks because current has multiple paths to split between. The key insight is that the battery's emf stays constant, but the total current it supplies, and how that current distributes, depends entirely on whether you're adding resistances or their reciprocals.
Intuitive explanation
When resistors combine, their total resistance changes in predictable ways—and that resistance directly determines how much current flows and how voltage divides. In series, resistances add because current must fight through both obstacles sequentially; in parallel, the combined resistance shrinks because current has multiple paths to split between. The key insight is that the battery's emf stays constant, but the total current it supplies, and how that current distributes, depends entirely on whether you're adding resistances or their reciprocals.