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How does the resistance of a …

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How does the resistance of a wire change when (a) it's length is triplled.(b) it's diameter is doubled?
  • 1 answers

Yogita Ingle 5 years, 8 months ago

resistance(R) is directly proportional(=) to length(l) ,
inversely proportional to area(A)
I) if length length is tripled I.e 3l
for initial R = l then what is the resistance(x) if length is 3l
then x= 3R
therefore resistance become triple time of initial
ll)R= 1/A = 1/(πr²)
2r =d ( diameter ) for initial
if diameter becomes triple
x= 1/(π(6r/2)²)
x = 1/(π/9r²)
x= 1/9(R)
I.e the resistance will decrease 9 times of initial

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