1. An electric current is passed through a circuit containing two wires of the same material, connected in parallel. If the length and radii of the wires are in the ratio of 4/3 and 2/3, then what is the ratio of the current through the wire? 

Asked by Sahil Kumar | 20th Mar, 2017, 06:00: PM

Expert Answer:

Hi,

begin mathsize 12px style Use space the space formula colon space straight V subscript straight A minus straight V subscript straight B equals straight I subscript 1 straight R subscript 1 plus straight I subscript 2 straight R subscript 2
rightwards arrow straight I subscript 1 over straight I subscript 2 equals straight R subscript 1 over straight R subscript 2
Using space straight R equals straight rho 1 over πr squared
straight R subscript 1 over straight R subscript 2 equals straight I subscript 1 over straight I subscript 2 cross times open parentheses straight r subscript 1 over straight r subscript 2 close parentheses squared
Substitute space the space ratios space and space proceed space to space find space the space ratio space straight I subscript 1 over straight I subscript 2 end style

 

Answered by  | 20th Mar, 2017, 06:42: PM

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