A wire of 3 ohm resistance and 10 cm length is stretched to 30 cm length. Assuming that it has
uniform cross-section, what will be its new resistance?
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Answer:
= 9*3 =27 Ohm
Explanation:
Original resistance = Ro = rho *l/A
The resistance of the conductor is directly proportional to its length and inversely proportional to its cross sectional area.
The wire is tripled of its previous length so the resistance will be 3l
and the new cross sectional area will be A/3
Rn = 3 * rho * l/ A/3
= 9R ( R = rho*l/A)
= 9*3 =27 Ohm
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