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10th Class Science Electricity and Circuits Question Bank Electricity

  • question_answer
    A long straight wire carries a current 10 amp. An electron travels with a velocity \[\text{5}.0\text{ }\times \text{ 1}{{0}^{\text{6}}}\] m/sec parallel to the wire 0.1 m away from it and in a direction opposite to the current. What force does the magnetic field of current exert on the electron?

    A)  \[0.8\times {{10}^{-17}}N\]

    B) \[0.8\times {{10}^{-16}}N\]

    C) \[1.6\times {{10}^{-17}}N\]  

    D) \[1.6\times {{10}^{-16}}N\]

    Correct Answer: C

    Solution :

                    \[B=\frac{{{\mu }_{0}}}{4\pi }\cdot \frac{2i}{r}\]                    \[={{10}^{-7}}\times \frac{2\times 10}{0.1}\]                    \[=2\times {{10}^{-5}}wb/{{m}^{2}}\]             \[F=gvB\sin \theta \]                   \[=(1.6\times {{10}^{-19}})(5\times {{10}^{6}})(2\times {{10}^{-5}})\sin {{90}^{o}}\]                   \[=1.6\times {{10}^{-17}}\]newton.


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