CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Potential Energy of Two Point Charges

A spherical m...

Question

A spherical metal shell $A$ of radius $R_{A}$ and a solid metal sphere $B$ of radius $R_{B} (< R_{A})$ are kept far apart and each is given charge $+ Q$ . Now they are connected by thin metal wire. Then:
(Here, $Q_{A}$ and $Q_{B}$ are the final charges on the spheres $A$ and $B$ respectively)

A

Q_{A} < Q_{B}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

Q_{A} = Q_{B}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

Q_{A} > Q_{B}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

D

Data insufficient

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $Q_{A} > Q_{B}$
In the steady state the potential of both the spheres will be same.
i.e. $V_{A} = V_{B}$

$\Rightarrow \frac{k Q_{A}}{R_{A}} = \frac{k Q_{B}}{R_{B}}$

Or, $\frac{Q_{A}}{Q_{B}} = \frac{R_{A}}{R_{B}}$

As, $R_{B} < R_{A}$ we get $Q_{A} > Q_{B}$ .

Therefore, option $(c)$ is the correct answer.

Suggest Corrections

thumbs-up

0

Similar questions

Q. A spherical metal shell

A

R_{A}

and a solid metal sphere

B

R_{B} (< R_{A})

are kept far apart and each is given charge

Q .

Now they are connected by a thin metal wire.
Then

Q. A spherical metal shell A of radius

R_{A}

and a solid metal sphere

B

R_{B} (< R_{A})

are kept far apart and each is given '

+ Q

'. Now they are connected by thin metal wire. Then:

Q. A spherical metal shell of radius

R_{A}

and a solid metal sphere of radius

R_{B}

(< R_{A})

are kept far apart and each is given a charge

+ Q

. Then they are connected by a thin wire. Choose the correct option.

A spherical shell of radius Ra and a solid metal sphere of radius Rb(Ra>Rb)are kept apart and each is given a charge +Q

If the two are connected by a metal wire what is the relation between electric field on their surfaces and ratio between surface charge density

Q. Two concentric thin conducting spherical shells having radius

R

2 R

are shown in figure. A charge

+ Q

is given to shell

A

- 4 Q

is given to shell

B

A

B

are connected by a thin conducting wire, then the final charge on the sphere

B

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

Potential Energy of Two Point Charges

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon