Resistors of 15 Ω and 30 Ω are connected in parallel to a 60 V battery. A third resistor R is added in parallel with them so that the total current taken from the battery becomes 10 A.
(i) Calculate the value of R required to obtain the desired current.
(ii) After R is connected, determine the power dissipated in each of the three resistors.
(iii) Verify that the total power supplied by the battery equals the sum of the powers dissipated in the three resistors.