Question:
Two conducting shells of radius a and b are connected by a conducting wire as shown in the figure. The capacity of the system is
Two conducting shells of radius a and b are connected by a conducting wire as shown in the figure. The capacity of the system is
Show Hint
Capacitances add directly when conductors are at same potential.
Updated On: Mar 20, 2026
- \(4\pi\varepsilon_0 \dfrac{ab}{b-a}\)
- \(4\pi\varepsilon_0 (a+b)\)
- zero
- infinite
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: When connected by wire, both shells are at same potential.
Step 2: Equivalent capacitance is sum of individual capacitances. C = 4πvarepsilon₀ a + 4πvarepsilon₀ b
Was this answer helpful?
0
0
Top BITSAT Physics Questions
- Two point charges $-q$ and $+ q$ are located at point's $(0, 0, - a)$ and, $(0, 0, a)$ respectively. The electric potential at a point $(0, 9, z)$, where $z > a$ is
- Which of the following must be known in order to determine the power output of an automobile?
- A large drop of oil (density $0.8 \,g / cm ^{3}$ and viscosity $\eta_{0}$ ) floats up through a column of another liquid (density $1.2\, g / cm ^{3}$ and viscosity $\eta_{L}$ ). Assuming that the two liquids do not mix, the velocity with which the oil drop rises will depend on :
- A body is projected vertically upwards at time $ t = 0$ and it is seen at a height $H$ at time $t_1$ and $t_2$ second during its flight. The maximum height attained is ($g$ is acceleration due to gravity)
- At what point of a projectile motion, acceleration and velocity are perpendicular to each other ?
View More Questions
Top BITSAT Capacitors and Capacitance Questions
Two conducting shells of radius \(a\) and \(b\) are connected by conducting wire as shown in figure. The capacity of system is :
- Two identical capacitors, have the same capacitance $C$. One of them is charged to potential $V_{1}$ and the other to $V_{2}$. The negative ends of the capacitors are connected together. When the positive ends are also connected, the decrease in energy of the combined system is
- The work done in placing a charge of $8 \times 10^{-18} \, C$ on a capacitor of capacity $100\, \mu F$ is
- Two capacitors $ C_1 = 4\mu F $ and $ C_2 = 6\mu F $ are connected in series across a 60 V battery. The potential difference across $ C_2 $ is:
- If the potential of a capacitor of capacity 6 μF is increased from 10 V to 20 V, the increase in its energy will be:
View More Questions
Top BITSAT Questions
- Two point charges $-q$ and $+ q$ are located at point's $(0, 0, - a)$ and, $(0, 0, a)$ respectively. The electric potential at a point $(0, 9, z)$, where $z > a$ is
- Which of the following must be known in order to determine the power output of an automobile?
- A large drop of oil (density $0.8 \,g / cm ^{3}$ and viscosity $\eta_{0}$ ) floats up through a column of another liquid (density $1.2\, g / cm ^{3}$ and viscosity $\eta_{L}$ ). Assuming that the two liquids do not mix, the velocity with which the oil drop rises will depend on :
- A body is projected vertically upwards at time $ t = 0$ and it is seen at a height $H$ at time $t_1$ and $t_2$ second during its flight. The maximum height attained is ($g$ is acceleration due to gravity)
- At what point of a projectile motion, acceleration and velocity are perpendicular to each other ?
View More Questions