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AMU Medical AMU Solved Paper-2012

  • question_answer
    The electric field in a certain region is given by\[E=5i-3j\,\,kV/m\]. The potential difference \[{{V}_{B}}-{{V}_{A}}\] between points A and B, having coordinates (4, 0, 3) m and (10, 3, 0) m respectively, is equal to

    A)  21kV                    

    B)  -21kV

    C)  39 kV                   

    D)  - 39 kV

    Correct Answer: C

    Solution :

                     The electric field \[E=5\,i-3j\,kV/m\]                 \[E=\sqrt{25+9}\]                 \[=\sqrt{34}\,kV/m\]                 \[d=\sqrt{{{(10-4)}^{2}}+{{(3-0)}^{2}}}\]                 \[=\sqrt{{{(6)}^{2}}+{{(3)}^{2}}}\]                 \[=\sqrt{(36+9}\,=\sqrt{45}\] Potential difference between points A and B                 \[V=E\,.\,d\]                 \[=\sqrt{34}\,\times \sqrt{45}\]                 = 39 kV


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