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0.23. Two metallic wires A and B are connected in parallel. Wire A has length I and radius r. wire 8has a length 21 and radius 2r. Compute the ratio of the total resistance of parallel combinatior andthe resistance of wire A.

Answer»

Wire A.

Length = l

Radius =r.Area =pie r^2.R1= rho x l /pie r^2.

Wire B.Length = 2l.Radius = 2r.Area = pie 4r^22.R2= rho x 2l/pie 4r2=rho x l /pie x 2r2.

total resistance.1/Rp= 1/R1+1/R2.= pie r2/rho x l+2 pie r2/ rho x l.=3 pie r2/rho x l.

Rp= rho x l/ 3 pie x r2.

ratio = Rp/ R1= rho /3 pie r2divided by rho x l / pie x r2.

Rp / R1= 1 : 3.



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