Advertisements
Advertisements
प्रश्न
The electrostatic potential on the surface of a charged conducting sphere is 100V. Two statements are made in this regard S1 at any point inside the sphere, electric intensity is zero. S2 at any point inside the sphere, the electrostatic potential is 100 V. Which of the following is a correct statement?
पर्याय
S1 is true but S2 is false.
Both S1 and S2 are false.
S1 is true, S2 is also true and S1 is the cause of S2.
S1 is true, S2 is also true but the statements are independent.
Advertisements
उत्तर
S1 is true, S2 is also true and S1 is the cause of S2.
Explanation:
We know, the electric field intensity E and electric potential V are related E = dV/dr
If electric field intensity E = 0, then dV/dr = 0. It means E = 0 inside the charged conducting sphere causes uniform potential inside the sphere. Hence uniform electrostatic potential 100 V will be at any point inside the sphere.
Important points:
- The electric field zero does not necessary imply that electric potential is zero. E.g., the electric field intensity at any point inside the charged spherical shell is zero but there may exist non-zero electric potential.
- If two charged particles of the same magnitude but opposite signs are placed, the electric potential at the midpoint will be zero but the electric field is not equal to zero.
APPEARS IN
संबंधित प्रश्न
A spherical conducting shell of inner radius r1 and outer radius r2 has a charge Q.
(a) A charge q is placed at the centre of the shell. What is the surface charge density on the inner and outer surfaces of the shell?
(b) Is the electric field inside a cavity (with no charge) zero, even if the shell is not spherical, but has any irregular shape? Explain.
A 4 µF capacitor is charged by a 200 V supply. It is then disconnected from the supply and is connected to another uncharged 2 µF capacitors. How much electrostatic energy of the first capacitor is lost in the form of heat and electromagnetic radiation?
If Coulomb’s law involved 1/r3 dependence (instead of 1/r2), would Gauss’s law be still true?
A 12 pF capacitor is connected to a 50 V battery. How much electrostatic energy is stored in the capacitor? If another capacitor of 6 pF is connected in series with it with the same battery connected across the combination, find the charge stored and potential difference across each capacitor.
Define electrostatic potential at a point. Write its S.I. unit. Three-point charges q1, q2 and q3 are kept respectively at points A, B, and C as shown in the figure, Derive the expression for the electrostatic potential energy of the system.
A point charge is placed at the centre of a hollow conducting sphere of internal radius ‘r’ and outer radius ‘2r’. The ratio of the surface charge density of the inner surface to that of the outer surface will be ______.
Electric-field magnitude 'E' at points inside and outside a positively charged spherical conductor having charge Q and a radius R are ______.
The electrostatic force between the metal plates of an isolated parallel plate capacitor C having a charge Q and area A, is ______.
Which of the following statement is true?
Which of the following statements is false for a perfect conductor?
Three Charges 2q, -q and -q lie at vertices of a triangle. The value of E and V at centroid of triangle will be ______.
A solid spherical conductor has charge +Q and radius R. It is surrounded by a solid spherical shell with charge -Q, inner radius 2R, and outer radius 3R. Which of the following statements is true?
A test charge q is made to move in the electric field of a point charge Q along two different closed paths (Figure). First path has sections along and perpendicular to lines of electric field. Second path is a rectangular loop of the same area as the first loop. How does the work done compare in the two cases?
Consider a finite insulated, uncharged conductor placed near a finite positively charged conductor. The uncharged body must have a potential:
