Three resistors of 6Ω, 9Ω and 18Ω are connected such that the 6Ω and 9Ω resistors are in parallel, and this parallel arrangement is connected in series with the 18Ω resistor across a 36V battery.
(i) Draw a simplified circuit step by step to show how the network can be reduced to a single equivalent resistor.
(ii) Calculate the equivalent resistance of the entire circuit.
(iii) Determine the current supplied by the battery.
(iv) Find the current through each of the 6Ω and 9Ω resistors.
(v) Compute the electrical power dissipated in the 18Ω resistor.