1.

A small sphere is charged unifomly and placed at some point `A(x_0,y_0)` so that at point B(9m,4m) electric field strength is `vec E = (54 hati + 72 hatj)NC^(-01)` and potential is 1800V. ThenA. the magnitude of charge on the sphere is `4muC`B. the magnitude of charge on the sphere is `2muC`C. coordinates of A are `x_0 = 3m, y_0 = 12m`D. coordinates of A are `x_0 = 4m, y_0 = 1m`.

Answer» Correct Answer - A::C
a.,c.
`vecE=54hati+74hatj,E=90NC^(-1)`
`90=(9xx10^(-9)Q)/(r^(2)`
`V=1800=(9xx10^(9)Q)/(r)`
From Eqs. (i) and(ii), we get
`r=20M,q=4muC`
Now, `((9-x_(0))+(4-y_(0))hatj)/(20)=(54hatj+72hatj)/(90)`
or `x_(0)=3,y_(0)=-12`


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