Two spherical conductors A and B of radii a and b (ba) are placed concentrically in air. The two are connected by a copper wire is as shown in figure. The equivalent capacitance of the system is

Question

Two spherical conductors A and B of radii a and b (b>a) are placed concentrically in air. The two are connected by a copper wire is as shown in figure. The equivalent capacitance of the system is (A) (4 π ε0 a b/b-a) (B) 4 π ε0(a+b) (C) 4 π ε0 b (D) 4 π ε0 a

Tardigrade Admin · Accepted Answer

The charge given to inner sphere will pass to the outer sphere. So, the capacitance of outer sphere will be 4 π ε0 b. (As capacitance due to spherical conductor is 4 π ε0 r, where r is radius of conductor)

Q. Two spherical conductors $A$ and $B$ of radii $a$ and $b$ $(b > a)$ are placed concentrically in air. The two are connected by a copper wire is as shown in figure. The equivalent capacitance of the system is

$\frac{4 π ε _{0} ab}{b - a}$

$4 π ε_{0} (a + b)$

$4 π ε_{0} b$

$4 π ε_{0} a$

The charge given to inner sphere will pass to the outer sphere. So, the capacitance of outer sphere will be $4 π ε_{0} b$ . (As capacitance due to spherical conductor is $4 π ε_{0} r$ , where $r$ is radius of conductor)

Q. Two spherical conductors A and B of radii a and b (b>a) are placed concentrically in air. The two are connected by a copper wire is as shown in figure. The equivalent capacitance of the system is

b−a4πε0​ab​

4πε0​(a+b)

4πε0​b

4πε0​a