There are three concentric conducting spherical shells. All of them are charged. The innermost sphere is connected by a conducting wire to the outermost sphere. Prove that the final charge on the innermost sphere is independent of the initial charge of outermost sphere.

Two concentric spherical conducting shells of radii r and R (r lt R ) carry charges q and Q respectively . The two shells are now connected by a conducting wire. The final charge on the inner shell is

A conducting sphere of radius r has a charge . Then .

Conisder a neutral conducting sphere. A poistive point charge is placed outisde the sphere. The net charge on the sphere is then

Conisder a neutral conducting sphere. A poistive point charge is placed outisde the sphere. The net charge on the sphere is then

Statement-1 : If two concentric conducing sphere which are connected by a conducting wire. No charge can exist on inner sphere. Statement-2: When charge on outer sphere will exist then potential of inner shell and outer shell will be same.

The net charge given to an isolated conducting solid sphere :

A solid metallic sphere of radius a is surrounded by a conducting spherical shell of radius b(bgt a) . The solid sphere is given a charge Q. A student measures the potential at the surface of the solid sphere as V and the potential at the surface of spherical shell as V_b . After taking these readings, he decides . to put charge of -4Q on the shell. He then noted the readings of the potential of solid sphere and the shell and found that the potential difference is /_\V . He then connected the outer spherical shell to the earth by a conducting wire and found that the charge on the outer surface of the shell as He then decides to remove the earthing connection from the shell and earthed the inner solid sphere. Connecting the inner sphere with the earth he observes the charge on the solid sphere as q_2 . He then wanted to check what happens if the two are connected by the conducting wire. So he removed the earthing connection and connected a conducting wire between the solid sphere and the spherical shelll. After the connections were made he found the charge on the outer shell as q_3 . q_2 is

A solid metallic sphere of radius a is surrounded by a conducting spherical shell of radius b(bgt a) . The solid sphere is given a charge Q. A student measures the potential at the surface of the solid sphere as V and the potential at the surface of spherical shell as V_b . After taking these readings, he decides . to put charge of -4Q on the shell. He then noted the readings of the potential of solid sphere and the shell and found that the potential difference is /_\V . He then connected the outer spherical shell to the earth by a conducting wire and found that the charge on the outer surface of the shell as He then decides to remove the earthing connection from the shell and earthed the inner solid sphere. Connecting the inner sphere with the earth he observes the charge on the solid sphere as q_2 . He then wanted to check what happens if the two are connected by the conducting wire. So he removed the earthing connection and connected a conducting wire between the solid sphere and the spherical shelll. After the connections were made he found the charge on the outer shell as q_3 . q_3 is

Two hollow concentric non-conducting spheres of radius the a and b (a gt b) contain charges Q_(a) and Q_(b) respectively. Prove that potential difference between the two spheres is independent of charge on outer sphere. If outer sphere is given an extra charge, is there any change in potential difference ?

A solid metallic sphere of radius a is surrounded by a conducting spherical shell of radius b(bgt a ). The solid sphere is given a charge Q. A student measures the potential at the surface of the solid sphere as V and the potential at the surface of spherical shell as V_b . After taking these readings, he decides . to put charge of -4Q on the shell. He then noted the readings of the potential of solid sphere and the shell and found that the potential difference is /_\V . He then connected the outer spherical shell to the earth by a conducting wire and found that the charge on the outer surface of the shell as He then decides to remove the earthing connection from the shell and earthed the inner solid sphere. Connecting the inner sphere with the earth he observes the charge on the solid sphere as q_2 . He then wanted to check what happens if the two are connected by the conducting wire. So he removed the earthing connection and connected a conducting wire between the solid sphere and the spherical shelll. After the connections were made he found the charge on the outer shell as q_3 . Potential difference (/_\CV) measured by the student between the inner solid shere and outer shell after putting a charge -4Q is