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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. |
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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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