CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2007

  • question_answer
    When a current I flows through a wire, the drift velocity of the electrons is v. When current 21 flows through another wire of the same material having double the length and double the area of cross-section, the drift velocity of the electrons will be

    A)  \[\frac{v}{8}\]                  

    B)         \[\frac{v}{4}\]                  

    C)  \[\frac{v}{2}\]                  

    D)         \[v\]

    E)  \[2v\]

    Correct Answer: D

    Solution :

    \[I=neA{{v}_{d}}\] Or           \[{{v}_{d}}=\frac{I}{neA}\] Or           \[{{v}_{d}}\propto \frac{I}{A}\] \[\therefore \]  \[\frac{v_{d}^{}}{{{v}_{d}}}=\frac{A}{\frac{I}{A}}=\frac{2A}{\frac{I}{A}}=1\] Or           \[v_{d}^{}={{v}_{d}}=v\]


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