Question

The electric field in a region is radially outward with magnitude E=Ar . Find the charge contained in a sphere of radius a centered at the origin . Take A=90Vm−2 and a=2m

Answer 1

Explanation ⇒

Electric filed is given by,

E = kQ/a².  [let charge contained be Q. ]

Thus,

kQ/a² = Ar

∴ Q = Ara²/k

For sphere, r = a,

thus,

Q = Aa³/k

∴ Q = 90 × 8/(9 × 10⁹)

∴ Q = 8 × 10⁻⁸ C.

Hope it helps.

Answer 2

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