A small sphere is charged uniformly and placed at some point \( A\left(x_{0}, y_{0}\right) \) so...

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A small sphere is charged uniformly and placed at some point \( A\left(x_{0}, y_{0}\right) \) so that at point \( B(9 \mathrm{~m}, 4 \mathrm{~m}) \) electric field strength is \( \vec{E}=(54 \hat{i}+72 \hat{j}) \mathrm{NC}^{-1} \) and potential is \( 1800 \mathrm{~V} \). Then
(1) the magnitude of charge on the sphere is \( 4 \mu \mathrm{C} \)
(2) the magnitude of charge on the sphere is \( 2 \mu \mathrm{C} \)
(3) coordinates of \( A \) are \( x_{0}=-3 \mathrm{~m}, y_{0}=-12 \mathrm{~m} \)
(4) coordinates of \( A \) are \( x_{0}=4 \mathrm{~m}, y_{0}=-1 \mathrm{~m} \)
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