Two wires made of of same material, having the length in ratio 1:4 and ,radius 2:4 are connected in series . Calculate the ratio of p.d across two wires
Answers
Answered by
3
Explanation:
Final Answer : 9:16
Steps:
1) We know that the Resistance of a same wire is proportional to (l/A) .
where L = Length of wire,
A = Area of cross section
And, Area is proportional to d^2 ,
where 'd' is diameter of wire.
=> Resistance is proportional to
2) We have,
Ratio of their length = 1:2
Ratio of diameters = 2:3
=> Ratio of Area of cross- section = 2^2:3^2 = 4:9
=> Ratio of resistance :
9:16
3) Since, current in series circuit is same.
=> Ratio of Potential difference across wires :
R(1) : R(2) = 9:16
Hence, Required Ratio is 9:16
Read more on Brainly.in - https://brainly.in/question/4502660#readmore
Similar questions