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 1/r, where r is the distance from the axis
(d) varies as 1/r², where r is the distance from the axis
Answers
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.
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.