Electricity And Magnitism, Resistance

Electricity and Magnetism Level 2

A copper wire has diameter 0.5 mm and resistivity of 1.6 × 10−8 Ω m. What will be the length of this wire to make its resistance 10 Ω? How much does the resistance change if the diameter is doubled?

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R = 2.75 Ω a n d l = 0.02 m R=2.75Ω and l=0.02m R = 3 Ω a n d L = 0.002 m R=3Ω and L=0.002m R = 2.5 Ω a n d L = 0.001 m R=2.5Ω and L=0.001m R = 2 Ω a n d L = 0.01 m R=2Ω and L=0.01m

Ankit Vijay by Ankit Vijay , 22, India

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1 solution

Kshitij Johary
Sep 2, 2014

No need to do the complex calculations for the length of the wire. It is easier to solve the second part. The diameter has an inverse square relationship with the resistance. If the diameter is doubled, the resistance will become one-fourth and one-fourth of 10 is 2.5. Only one option contains this value so it is the right answer.

3 Helpful 0 Interesting 0 Brilliant 0 Confused

I too did the same thing!

Sahba Hasan - 5 years, 12 months ago

Are you sure?

Lu Chee Ket - 5 years, 5 months ago

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