JEE Main & Advanced Physics Current Electricity, Charging & Discharging Of Capacitors / वर्तमान बिजली, चार्ज और कैपेसिटर का निर Question Bank Self Evaluation Test - Current Electricity

  • question_answer
    The resistance of a wire is R. It is bent at the middle by \[180{}^\circ \] and both the ends are twisted together to make a shorter wire. The resistance of the new wire is

    A) 2R       

    B) R/2      

    C) R/4

    D) R/8

    Correct Answer: C

    Solution :

    [c] Resistance of wire (R)\[=\rho \frac{\ell }{A}\] If wire is bent in the middle then \[\ell '=\frac{\ell }{2},A'=2A\] \[\therefore \]New resistance, \[R'=\rho \frac{\ell '}{A'}=\frac{\rho \frac{\ell }{2}}{2A}\] \[=\frac{\rho \ell }{4A}=\frac{R}{4}.\]


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