Find the flux through a sphere of radius R centred at the origin due to the E-field $\to E = a (\frac{x^i + j^j}{x^{2} + y^{2}})$

4 π α R

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zero

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π α R

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2 π α R

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Solution

The correct option is A $4 π α R$

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Q. Find the flux through a sphere of radius R centred at the origin due to the E-field

\to E = a (\frac{x^i + j^j}{x^{2} + y^{2}})

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An electric field prevailing in a region depends only on X and Y coordinates according to an equation, $\to E = b \frac{X ˆ i + Y ˆ j}{X^{2} + Y^{2}}$ where b is a constant. Find the flux passing through a sphere of radius r whose center is on the origin of the coordinate system.

Q. Find the flux of the electric field through a spherical surface of radius R due to a charge of 10⁻⁷ C at the centre and another equal charge at a point 2R away from the centre (figure 30-E2).

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Find the flux through a sphere of radius R centred at the origin due to the E-field →E=a(x^i+j^jx2+y2)

The correct option is A 4παR

Find the flux through a sphere of radius R centred at the origin due to the E-field $\to E = a (\frac{x^i + j^j}{x^{2} + y^{2}})$

The correct option is A $4 π α R$