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Two metallic wires A and B are connected in parallel combinationWire A has length 'l' and radius 'r'Wire B has length '2l' and radius '2r'Commute the ratio of total resistance of parallel combination?
Wiki User
∙ 11y ago
FOR WIRE A ,
RA = rho L/A = rho L/pie* r square -equation 1
RB = rho 2L/pie(2r)square = rho 2L/4 pie*r square
=rho L/2 pie * r square -equation 2
RA/RB = rho L/pie * r square * 2 pie *r square/rho L
RA/RB = 2
RA = 2RB , RB = RA/2
1/Rp = 1/RA + 1/RB
=1/RA +1/RB
1/Rp = 3/RA
Rp/RA = 1/3
Hence the ratio is 1:3
Wiki User
∙ 11y ago
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