Science
A piece of wire of resistance R is cut into three equal parts. These parts are then connected in parallel. If the equivalent resistance of this parallel combination is R1, what is the value of the ratio R1 : R?
Current Electricity
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Answer
Given,
Wire of resistance R is cut into three parts so resistance of each part = Ω. [∵ resistance is proportional to the length of the wire]
3 wires of resistance Ω are connected in parallel and its equivalent resistance = R1 Ω
So, = + + = Ω
Hence, R1 =
Ratio of R1 : R = ?
∴ Ratio R1 : R =
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