CMC Medical CMC-Medical Ludhiana Solved Paper-2007

  • question_answer
    A small metallic ball is charged positively negatively in a sinusoidal manner at a frequency of \[{{10}^{6}}\] cps. The maximum charge on the ball is\[{{10}^{-6}}C\]. What is the displacement current due to this alternating current?

    A)  6.28 A                                  

    B)  3.4 A

    C)  \[3.75\times {{10}^{-4}}A\]        

    D)  12.56 A

    Correct Answer: A

    Solution :

                    Displacement current \[{{I}_{d}}=\frac{dq}{dt}\] \[q={{q}_{0}}\sin \omega t;\]     \[{{I}_{d}}=\frac{dq}{dt}={{q}_{0}}\omega \cos \omega t\] \[{{({{I}_{d}})}_{\max }}={{10}^{-6}}\times 2\pi \times {{10}^{6}}A=6.28A\]


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