# Electric Potential Due to a Solid Sphere of Charge

## Trending Questions

**Q.**Two charged spherical conductors of radii R1 and R2 are connected by a wire. Then the ratio of surface charge densities of the spheres (σ1/σ2) is

- R21R22
- R1R2
- R2R1
- √(R1R2)

**Q.**Eight small drops, each of radius r and having same charge q are combined to form a big drop. The ratio of potential of the bigger drop to the smaller drop is

- 8:1
- 4:1
- 2:1
- 1:8

**Q.**Four metallic plates are placed as shown in the figure. Plate 2 is given a charge Q whereas all other plates are uncharged. Plates 1 and 4 are joined together. All plates have same area. The charge appearing on the right side of plate 3 is

- zero
- +Q4
- −3Q4
- +Q2

**Q.**Two spherical conductors of capacitance 3 μF and 5 μF are charged to potentials of 300 Volt and 500 Volt. The spheres are then connected, then the final charge on 3 μF and 5 μF capacitors respectively will be:

- 900 μC, 2500 μC
- 1200 μC, 2200 μC
- 1275 μC, 2125 μC
- 1000 μC, 2400 μC

**Q.**Four large identical metal plates are placed as shown in the figure. Plate 2 is given a charge Q. All other plates are neutral. Now Plate 1 and 4 are earthed. Area of each plates is A. The charge appearing on the right side of plate 3 is

- Q2
- Q4
- Q8
- Q

**Q.**1000 identical drops of mercury are charged to the same potential at 10 V. All these are now combined to make one large drop. The potential of the large drop is

- 1000 V
- 90 V
- 100 V
- 10 V

**Q.**Two spherical conductors A and B of radii R and 2R respectively are each given a charge Q. When they are connected by a metallic wire. The charge will

- Flow from A to B
- Flow from B to A
- Remain stationary on conductor
- None of these

**Q.**A large hollow metallic sphere A (of radius R ) is positively charged to a potential of 100 V and a small sphere B (of radius R5) is also positively charged to a potential of 100 V. Now B is placed inside A and they are connected by a wire. The final potential of A will be:

- 200 V
- 150 V
- 120 V
- none of above

**Q.**Two metal spheres are very far apart but are connected by a thin wire as shown-

If the combined charge of both the sphere is Q, then the common potential will be

- kQr1−r2

- −kQr1+r2

- kQr1+r2

- −kQr1r2

**Q.**Three identical large metal plates of area A are separated by distances d and 2d from each other, as shown in the figure. The top metal plate is uncharged, while other metal plates have charges +Q and –Q. Top and bottom metal plates are connected by switch S through a resistor of unknown resistance. What is the energy (in mJ) dissipated in the resistor when the switch is closed and steady state is achieved?

Given: ϵ0Ad=6 μF, Q=60 μC

**Q.**Two metal spheres (radii r1, r2 with r1<r2) are very far apart but are connected by a thin wire. If their combined charge is Q, then what is their common Potential?

- kQ(r1+r2)
- kQ(r1−r2)
- −kQr1r2
- −kQ(r1+r2)

**Q.**A large conducting sphere of radius r, having a charge Q is placed in contact with a small neutral conducting sphere of radius r′ and is then separated. The charge on smaller sphere will now be:

- Q(r+r′)r
- Q(r−r′)r′
- Qrr′+r
- Qr′r′+r

**Q.**Two spherical conductors of capacitance 3.0 μF and 5.0 μF are charged to potentials of 300 volt and 500 volt. The two are connected, resulting in redistribution of charges. Then the final potential is (in volt) -

**Q.**Two metal spheres of capacitance C1 and C2 carry some charges. They are put in contact and then separated. The final charge Q1 and Q2 on them will satisfy

- C1C2>Q1Q2
- C1C2<Q1Q2
- C1C2=Q1Q2
- C1C2=Q2Q1

**Q.**A small sphere of radius r1 and charge q1 is enclosed by a sphericalshell of radius r2 and charge q2. Show that if q1 is positive, chargewill necessarily flow from the sphere to the shell (when the two areconnected by a wire) no matter what the charge q2 on the shell is.

**Q.**A metal sphere A of radius r1 charged to a potential ϕ1 is enveloped by a thin walled conducting spherical shell B of radius r2. Then potential ϕ2 of the sphere A after it is connected to the shell B by a thin conducting wire will be:

- ϕ1(r1r2)
- ϕ1(r2r1)
- ϕ1(1−r2r1)
- ϕ1(r1r2r1+r2)

**Q.**Two concentric conducting spheres of radii R and 2R are carrying charges Q and 2Q respectively. If the charge on inner sphere is doubled, the potential difference between the two spheres will :

- become two times
- become four times
- be halved
- remain same

**Q.**512 identical drops of mercury are charged to a potential of 2 V each. The drops are then joined to form a bigger drop. The potential of this big drop is

**Q.**The given graph shows variation (with distance r from centre) of

\( \theta \Lambda \)

- Electric potential of a uniformly charged hollow sphere
- Electric potential of a uniformly charged non-conducting solid sphere
- Electric field of a uniformly charged nonconducting sphere
- Electric field of a uniformly charged conducting sphere

**Q.**512 identical drops of mercury are charged to a potential of 2 V each. The drops are then joined to form a bigger drop. The potential of this big drop is

**Q.**A small conducting sphere of radius r is lying concentrically with a bigger hollow conducting sphere of radius R. The bigger and smaller spheres are charged with Q and q respectively (Q>q). The two spheres are insulated from one another. The potential difference between the spheres will be :

- 14πϵ0(qr−QR)
- 14πϵ0(qr−qR)
- 14πϵ0(qr+QR)
- 14πϵ0(qR−Qr)

**Q.**Two conducting spheres having radii 10 cm and 20 cm. One sphere has given charge of 150μC and it is connected by a wire to another sphere. Their common potential will be:

- 9×106 volt
- 4.5×106 volt
- 1.8×106 volt
- 1.35×109 volt

**Q.**Figure shows two conducting thin concentric shells of radii r and 3r. The outer shell carries q while inner shell is neutral and is connected to earth by a switch S. Find the charge that will flow from earth to inner shell after the switch S is closed.

- −q3
- −q2
- q3
- 2q3

**Q.**An insulated sphere of radius R has a volume charge density ρ . The variation of its potential with respect to the distance from the centre is best represented by

**Q.**A uniformly charged sphere is placed as shown. Find the amount of work done by an external agent to bring a 2C charge (Very slowly without acceleration) from infinity to the point P? Take infinity as the reference

- 1.8×1012J
- 1.8×1011J
- 18×1012J
- 1.8×1014J

**Q.**A uniformly charged sphere is placed as shown. Find the amount of work done by an external agent to bring a 2C charge (Very slowly without acceleration) from infinity to the point P? Take infinity as the reference

- 1.8×1012J
- 1.8×1011J
- 18×1012J
- 1.8×1014J

**Q.**Correct curve of potential (V) versus distance (r) from centre of two charged spherical shells is

**Q.**An insulated sphere of radius R has a volume charge density ρ . The variation of its potential with respect to the distance from the centre is best represented by

**Q.**Two metal spheres (radii r1, r2 with r1<r2) are very far apart but are connected by a thin wire. If their combined charge is Q, then what is their common potential?

- −kQ/r1r2
- −kQ/(r1+r2)
- kQ/(r1+r2)
- kQ/(r1−r2)

**Q.**A copper sphere is suspended in an evacuated chamber maintained at 300 K. The sphere is maintained at a constant temperature of 500 K by heating it electrically. A total of 300 W of electric power is needed to do it. When half of the surface of the surface of the copper sphere is completely blackened, 600 W is needed to maintain the same temperature of the sphere. Calculate the emissivity of copper.