Home
Class 12
PHYSICS
Two fixed identical metallic spheres A a...

Two fixed identical metallic spheres `A` and `B` of radius `R=50cm` each are placed on a non-conducting plane at a very large distance from each other and they are connected by a coil of inductance `L=9mH` as shown in figure. One of the spheres (say A) is imparted an initial charge and the other is kept uncharged. The switch `S` is closed at `t=0`. After what minimum time `t` does the charge on the first sphere decrease to half of its initial value ?

A

`pixx10^(-6)sec`

B

`(pi)/(4)xx10^(-6)sec`

C

`(pi)/(2)xx10^(-6)sec`

D

`2pixx10^(-6)sec`

Text Solution

Verified by Experts

Angular frequency `omega` of the `LC` oscillation `=sqrt(2pi epsilon_(0)RL)`
required time is one forth of the time period
Promotional Banner

Similar Questions

Explore conceptually related problems

Two metal spheres of same radius R are placed at a very large distance from each other, and they are connected by a coil of inductance L, as it is shown in the figure. One of the spheres is loaded with electric charge. At what time, after closing the switch S. does the charge on this sphere decreases to half ?

In the circuit shown in figure the switch S is closed at t = 0. A long time after closing the switch

Two metal spheres A and B of radii a & b (a lt b) respectively are at a large distance apart. Each sphere carries a charge of 100 mu O. the sphere are connected by a conducting wire, then

In the circuit shown, the capacitor C_1 is initially charged with charge q_0 . The switch S is closed at time t = 0 . The charge on C_2 after time t is

In the circuit shown in Figure, the battery is an ideal one, with emf V. The capacitor is initially uncharged. The switch S is closed at time t = 0 . (a) Find the charge Q on the capacitor at time t. (b) Find the current in AB at time t. What is its liniting value as t rarr oo : .

Initially the capacitor is uncharged find the charge on capacitor as a function of time, if switch is closed at t=0.

When the switch S is closed at t=0 , identify the correct statement just after closing the switch as shown in figure

Two metallic spheres of radii a and b are placed faraway from each other and are connected for a thin conducting wire. A charge Q is given to one of the spheres . Calculate the charge on each sphere at electrostatic equilibrium.

Two small metal spheres A and B, each of radius r and supported on insulating stands, located at a distance a (a gt gt r) from each other are connected by a thin conducting wire. A point charge q is brought near the spheres at distance l (l gt gt r) on the line joining the centers of the spheres. What are the moduli of charge induced on the spheres ? .

In the circuit shown in figure switch S is closed at time t=0 Current I from the battery at time t is given by