NEET-XII-Physics

32: Electric Current in Conductors

with Solutions - page 2
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  • #10
    A uniform wire of resistance 50 Ω is cut into 5 equal parts. These parts are now connected in parallel. The equivalent resistance of the combination is
    (a) 2 Ω
    (b) 10 Ω
    (c) 250 Ω
    (d) 6250 Ω
    digAnsr:   a
    Ans : (a) 2 Ω
    Resistance of a wire is directly proportional to its length.
    So, when we cut the wire into 5 equal parts, the resistance of each part will be 10 Ω.
    On connecting these wires in parallel, the net resistance will be
    `` \frac{1}{R}=\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}``
    `` \Rightarrow R=2\,\mathrm{\,\Omega \,}``

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