Related Questions

    3.

    Three charges each of magnitude qq are placed at the corners of an equilateral triangle, the electrostatic force on the charge placed at the center is (each side of triangle is LL)

    A

    Zero

    B

    14πΡ0q2L2\frac{1}{{4\pi {\varepsilon _0}}}\frac{{{q^2}}}{{{L^2}}}

    C

    14πΡ03q2L2\frac{1}{{4\pi {\varepsilon _0}}}\frac{{3{q^2}}}{{{L^2}}}

    D

    112πΡ0q2L2\frac{1}{{12\pi {\varepsilon _0}}}\frac{{{q^2}}}{{{L^2}}}

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    8.

    Equal charges qq are placed at the four corners A,B,C,DA,B,C,D of a square of length aa. The magnitude of the force on the charge at BB will be

    A

    3q24πΡ0a2\frac{{3{q^2}}}{{4\pi {\varepsilon _0}{a^2}}}

    B

    4q24πΡ0a2\frac{{4{q^2}}}{{4\pi {\varepsilon _0}{a^2}}}

    C

    (1+222)q24πΡ0a2\left( {\frac{{1 + 2\sqrt 2 }}{2}} \right)\frac{{{q^2}}}{{4\pi {\varepsilon _0}{a^2}}}

    D

    (2+12)q24πΡ0a2\left( {2 + \frac{1}{{\sqrt 2 }}} \right)\frac{{{q^2}}}{{4\pi {\varepsilon _0}{a^2}}}

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    9.

    NN fundamental charges each of charge (q)\left( q \right) are to be distributed as two point charges separated by a fixed distance, then the maximum to minimum force bears a ratio (NN is even and greater than 2)

    A

    (Nβˆ’1)24N\frac{{{{\left( {N - 1} \right)}^2}}}{{4N}}

    B

    4N2(Nβˆ’1)\frac{{4{N^2}}}{{\left( {N - 1} \right)}}

    C

    N24(Nβˆ’1)\frac{{{N^2}}}{{4\left( {N - 1} \right)}}

    D

    2N2(Nβˆ’1)\frac{{2{N^2}}}{{\left( {N - 1} \right)}}

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