RAJASTHAN ­ PET Rajasthan PET Solved Paper-2001

  • question_answer
    A potentiometer has uniform potential gradient. The specific resistance of the material of the potentiometer wire is \[40\times {{10}^{-8}}m\] and current passing through it is 15 A, cross-section area of the wire is\[18\times {{10}^{-6}}{{m}^{2}}\]. The potential gradient along the potentiometer wire is

    A)  25 V/m          

    B)  2.5 V/cm

    C)  2.5 V/m          

    D)  0.33 V/m

    Correct Answer: D

    Solution :

     Potential gradient \[K=I.\frac{R}{L}\] Specific resistance \[\rho =\frac{RA}{L}\] \[\therefore \] \[K=\frac{I\rho }{A}\] \[\Rightarrow \] \[K=\frac{15\times 40\times {{10}^{-8}}}{18\times {{10}^{-6}}}\] Or \[K=0.33\,V/m\]


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