IB Physics Series and Parallel Resistors

A tutorial sheet on series and parallel resistors is given below.

  1. A 2 Ω and a 4 Ω are place in series with a battery. Which resistor has the greater power?
  2. A 2 Ω and a 4 Ω are placed in parallel across a battery. Which resistor has the greater power?
  3. A 2 Ω and a 4 Ω are connected in parallel. In series with this parallel group is a 1 Ω. When a battery of zero internal resistance is connected across this combination, which resistor has (a) the greatest power? and (b) the least power? [1 Ω,4 Ω]
  4. Two 5 Ω resistors are placed in parallel. In series with this combination is a 10 Ω. The power of the 10 Ω is 20 W when the entire combination is connected across a battery of zero internal resistance. What is the power of the 10 Ω when one of the 5 Ω resistors is removed? [13.9 W]