Table of Contents

- 1 In what region of space is the potential due to a uniformly charged sphere the same as that of a point charge in what region does it differ?
- 2 Can the potential of a uniformly charged sphere be the same as that of a point charge explain?
- 3 At what position the electric field intensity due to uniformly charged sphere is zero?
- 4 Can a potential of non uniformly charged sphere?
- 5 Where is the electric field strength due to a uniformly charged sphere is maximum?
- 6 What is the electric field due to a uniformly charged sphere?
- 7 How far away from the surface of a sphere is the potential?
- 8 What is the potential of the Earth on the surface?
- 9 How do you find the excess charge on a sphere?

## In what region of space is the potential due to a uniformly charged sphere the same as that of a point charge in what region does it differ?

But in the region outside the sphere, all the charge is inside, just like if it was a point charge, therefore, the potential due to a uniformly charged sphere will the same as that of a point charge.

### Can the potential of a uniformly charged sphere be the same as that of a point charge explain?

The whole charge on the sphere can be considered as to be concentrated at a single point and hence acts like a point charge. So the potential of the non-uniformly charged sphere can be the same as that of a point charge.

#### At what position the electric field intensity due to uniformly charged sphere is zero?

If point P is placed inside the solid conducting sphere then electric field intensity will be zero at that point because the charge is distributed uniformly on the surface of the solid sphere so there will not be any charge on the Gaussian surface and electric flux will be zero inside the solid sphere.

**What is the potential at the Centre of a charged sphere?**

For the electric potential at the centre Vcentre, x=0. Hence, the potential at the centre is greater than the potential at any other inside point. Now, for the electric potential at the surface Vsurface, x=R. Hence, the electric potential at the surface is lesser than that at any inside point.

**Can potential of non uniformly charged sphere?**

No, a non-uniformly charged sphere will have a different potential field compared to a point charge. Any distribution of charges on the sphere will have a unique potential field compared to any other distribution.

## Can a potential of non uniformly charged sphere?

### Where is the electric field strength due to a uniformly charged sphere is maximum?

At a distance equal to the radius of the sphere, the electric field will be maximum, as, at a distance equal to the radius of the sphere, the electric charges accumulate on the surface of the sphere.

#### What is the electric field due to a uniformly charged sphere?

Note: Since this is a solid sphere , it has charge inside it as well and that is why the electric field is non zero. In case of a hollow spherical shell, the electric field inside the shell is zero .

**What is the relationship between potential difference and electric potential energy?**

In summary, the relationship between potential difference (or voltage) and electrical potential energy is given by ΔV=ΔPEq Δ V = Δ PE q and ΔPE = qΔV.

**What happens in a region of constant potential?**

In a region of constant potential (V = constant) , E=-dVdr=0, i.e., electric field is zero. As E=0, there can be no charge inside the region.

## How far away from the surface of a sphere is the potential?

The potential on the surface will be the same as that of a point charge at the center of the sphere, 12.5 cm away. (The radius of the sphere is 12.5 cm.)

### What is the potential of the Earth on the surface?

Earth’s potential is taken to be zero as a reference. The potential of the charged conducting sphere is the same as that of an equal point charge at its center. The potential on the surface will be the same as that of a point charge at the center of the sphere, 12.5 cm away. (The radius of the sphere is 12.5 cm.)

#### How do you find the excess charge on a sphere?

The potential on the surface will be the same as that of a point charge at the center of the sphere, 12.5 cm away. (The radius of the sphere is 12.5 cm.) We can thus determine the excess charge using the equation V = V = k Qr. k Q r. Q rV k (0.125 m)(100×103 V) 8.99×109 N⋅m2/C2 1.39×10−6 C =1.39 μC.

**What is the electric potential of a point charge?**

As noted in Chapter 19.1 Electric Potential Energy: Potential Difference, this is analogous to taking sea level as h = 0 h = 0 when considering gravitational potential energy, PEg = mgh PE g = m g h. Electric potential of a point charge is V = kQ/r V = k Q / r.