IB Physics Internal Resistance

A sheet on topic 6.3 is given below

  1. A battery of emf 6.0 V is connected to an 8 Ω resistor causing a current of 0.5 A to flow. What current flows when a 4 Ω is placed in the circuit?
  2. A battery of emf 12 V has an internal resistance of 2 Ω. The battery is connected to a 6 Ω load resistor. (a) What is the power of the battery? (b) What is the power of the load resistor? [13.5W, 13.5W]
  3. A battery of emf 12 V has an internal resistance r. When the battery is connected to a 8 Ω resistor the power of the 8 Ω is 11.5 W. What is the value of r? [2 Ω]
  4. Is the power of the load resistor always equal to the power of the battery?
  5. Is the power of the internal resistance always equal to the power of the load resistor?