PHYSICS · Multi-part · CBSE · Physics · Current Electricity · Current Electricity
Problem
Two solid cylindrical wires, Wire X and Wire Y, are fabricated from the same metal so their resistivity is identical. The temperature is uniform and constant.
• Wire X: length 0.80 m, radius 0.50 mm
• Wire Y: length 0.40 m, radius 0.25 mm
The two wires are later connected in parallel across an ideal 6.0 V battery.
(a) Determine the ratio RXRY of the resistances of the two wires.
(b) While the wires are connected in parallel to the battery, calculate the ratio of the current in Wire Y to the current in Wire X.
(c) For the parallel connection described above, determine the fraction of the total electrical power delivered by the battery that is dissipated in Wire Y. Show all reasoning steps in your answer.