The intensity of an electric field depends only on the coordinates x and y as follows:E=a(x^i+y^j)x2+y2where, a is a constant and ^i and ^j are the unit vectors of the x and y− axes. Find the charge within a sphere of radius R with the centre at the origin.

The intensity of an electric field depends only on the coordinates x a

1.	The intensity of an electric field depends only on the coordinates x and y as follows:E=a(x^i+y^j)x2+y2where, a is a constant and ^i and ^j are the unit vectors of the x and y− axes. Find the charge within a sphere of radius R with the centre at the origin.
Answer» The intensity of an electric field depends only on the coordinates $x$ and $y$ as follows: $E = \frac{a (x^i + y^j)}{x^{2} + y^{2}}$ where, $a$ is a constant and $^i$ and $^j$ are the unit vectors of the $x$ and $y -$ axes. Find the charge within a sphere of radius $R$ with the centre at the origin.

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The intensity of an electric field depends only on the coordinates x and y as follows:E=a(x^i+y^j)x2+y2where, a is a constant and ^i and ^j are the unit vectors of the x and y− axes. Find the charge within a sphere of radius R with the centre at the origin.

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