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Two metallic wires made from copper have same length but the radius of wire 1 is half of that of wire 2. The resistance of wire 1 is R. If both the wires are joined together in series, the total resistance becomes
  • a)
    2R
  • b)
    R/2
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Two metallic wires made from copper have same length but the radius of...
Resistivity = (ρρ l) A
Where,
π = resistivity
l = length of conductor
A = area of cross section ( R2)
In this case resistivity, length of conductor = same
If radius is 2 times, Resistance is ¼ times
When we connect the two wires in series R = R+ R2
R = 1R + 1/4R
= 5/4 R
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