Question

Two aluminum conductor have equal length The cross sectional area of one conductor is four times that of the other If the conductor having a smaller cross sectional area has resistance of 100 ohm the resistance of other conductor will be

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Answer 1

Answer:

25 ohm

Explanation:

resistance = resistivity × length / area of cross section

let the length equal to l

the smaller area equal to a

so the larger area equal to 4a

resistivity equal to t

resistance of smaller area equal to r = 100 ohm

resistance of larger area equal to R

so

resistance = resistivity × length / area of cross section

r = t l / a

and

R = t l / 4a

= 1/4 ( t l / a )

= 1/4 ( r )

= 1/4 (100)

R = 25 ohm.

hope it helped.