Question

Two wires A and B of same material and of different lengths have different resistance Calculate the ratio of their lengths, if radius of A as double the radius of B..
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Answer 1

Answer:

R ∝ l/A

Ra = ρ la/Aa

Rb = ρ lb/Ab

 

Ra = Rb

Ab = A

Aa = 4A

Ra = la/4A

Rb = lb/A

(Neglecting rho because it is equal because they are made up of same substance)

Ra = Rb = R

4R  = la  --- Eq.1

R = lb     --- Eq.2

Eq.1/Eq.2

la/lb = 4/1 

Therefore,

la : lb :: 4 : 1

Explanation:

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Answer 2

Answer:

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