Two conductors made of the same material are connected across the same potential difference. Conductor A has seven times the diameter and seven times the length of conductor B. What is the ratio of the power delivere

Complete question:

Two conductors made of the same material are connected across the same potential difference. Conductor A has seven times the diameter and seven times the length of conductor B. What is the ratio of the power delivered to A to power delivered to B.

The ratio of the power delivered to A to power delivered to B is 7 : 1

Explanation:

Cross sectional area of a wire is calculated as;

Resistance of a wire is calculated as;

Resistance in wire A;

Resistance in wire B;

Power delivered in wire;

Power delivered in wire A;

Power delivered in wire B;

Substitute in the value of R in Power delivered in wire A;

Substitute in the value of R in Power delivered in wire B;

Take the ratio of power delivered to A to power delivered to B;

The wires are made of the same material,

The wires are connected across the same potential;

wire A has seven times the diameter and seven times the length of wire B;

Therefore, the ratio of the power delivered to A to power delivered to B is

7 : 1