Question

The magnitude of the electric field E in the annular region of a charged cylindrical capacitor(a) is same throughout(b) is higher near the outer cylinder than near the inner cylinder(c) varies as $\frac{1}{r}$, where r is the distance from the axis(d) varies as $\frac{1}{r^{2}}$, where r is the distance from the axis

Answer 1

c. is the correct answer

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Answer 2

Answer:

Explanation:

Considering a hypothetical cylinder of radius r and and length l in the annular region of a charged cylindrical capacitor. Thus using the Gauss law, the magnitude of the electric field in the annular region of a charged cylindrical capacitor is given by  -

E = 1/2πε0. λr

where λ is the charge per unit length and r is the distance from the axis of the cylinder.

Hence E ∝ 1 r

Thus, The magnitude of the electric field E in the annular region of a charged cylindrical capacitor varies as 1/r where r is the distance from axis.