Charge $Q$ is given a displacement $\vec r = a\hat i + b\hat j$ in an electric field $\vec E = E_1\hat i + E_2\hat j$ . The work done is

  • A

    $Q({E_1}a + {E_2}b)$

  • B

    $Q\sqrt {{{({E_1}a)}^2} + {{({E_2}b)}^2}} $

  • C

    $Q({E_1} + {E_2})\sqrt {{a^2} + {b^2}} $

  • D

    $Q\sqrt {({E_1}^2 + {E_2}^2)} \sqrt {{a^2} + {b^2}} $

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