1.

Find the expression for the electric field at P (x, y, z) due to a point charge Q at origin.

A. \(E = \frac{Q}{{4\pi \epsilon{{\left( {{x^2} + {y^2} + {z^2}} \right)}^2}}}\left( {x{a_x} + y{a_y} + z{a_z}} \right)\)
B. \(E = \frac{Q}{{4\pi \epsilon{{\left( {{x^2} + {y^2} + {z^2}} \right)}^{\frac{3}{2}}}}}\left( {x{a_x} + y{a_y} + z{a_z}} \right)\)
C. \(E = \frac{{{Q^2}}}{{4\pi \epsilon{{\left( {{x^2} + {y^2} + {z^2}} \right)}^2}}}\left( {x{a_x} + y{a_y} + z{a_z}} \right)\)
D. \(E = \frac{{{Q^2}}}{{4\pi \epsilon{{\left( {{x^2} + {y^2} + {z^2}} \right)}^{\frac{3}{2}}}}}\left( {x{a_x} + y{a_y} + z{a_z}} \right)\)
Answer» C. \(E = \frac{{{Q^2}}}{{4\pi \epsilon{{\left( {{x^2} + {y^2} + {z^2}} \right)}^2}}}\left( {x{a_x} + y{a_y} + z{a_z}} \right)\)


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