A long, straight wire is surrounded by a hollow, thin, long metal cylinder whose axis coincides with that of wire. The wire has a charge per unit length of $\lambda$, and the cylinder has a net charge per unit length of $2\lambda$. Radius of the cylinder is $R$
A long, straight wire is surrounded by a hollow, thin, long metal cylinder whose axis coincides with that of wire. The wire has a charge per unit length of $\lambda$, and the cylinder has a net charge per unit length of $2\lambda$. Radius of the cylinder is $R$
- A
Surface charge density on the inner surface of the cylinder is $\frac{\lambda }{{2\pi R}}$
- B
Surface charge density on the outer surface of the cylinder is $\frac{3\lambda }{{2\pi R}}$
- C
The electric field outside the cylinder,a distancer from the axis is $\frac{3}{2}\frac{\lambda }{{{ \in _0}\,\pi R}}$
- D
The electric field outside the cylinder a distance $r$ from the axis is $\frac{{2\lambda }}{{{ \in _0}\,\pi R}}$
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