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कर्नाटक बोर्ड पी.यू.सी.पीयूसी विज्ञान 2nd PUC Class 12

Gauss’S Law - Physics

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प्रश्न

If Coulomb’s law involved 1/r3 dependence (instead of 1/r2), would Gauss’s law be still true?

एका वाक्यात उत्तर

उत्तर

Gauss’s law will not be true, if Coulomb’s law involved 1/rdependence, instead of1/r2, on r.

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Electrostatics of Conductors
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2: Electrostatic Potential and Capacitance - Exercise [पृष्ठ ९०]

APPEARS IN

एनसीईआरटी Physics [English] Class 12
पाठ 2 Electrostatic Potential and Capacitance
Exercise | Q 2.31 (b) | पृष्ठ ९०
एनसीईआरटी Physics [English] Class 12
पाठ 2 Electrostatic Potential and Capacitance
Exercise | Q 31.2 | पृष्ठ ९१

संबंधित प्रश्‍न

A spherical conductor of radius 12 cm has a charge of 1.6 × 10−7 C distributed uniformly on its surface. What is the electric field

  1. inside the sphere
  2. just outside the sphere
  3. at a point 18 cm from the centre of the sphere?

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) Show that the normal component of electrostatic field has a discontinuity from one side of a charged surface to another given by

`(vec"E"_2 - vec"E"_1).hat"n" = sigma/in_0`

Where `hat"n"` is a unit vector normal to the surface at a point and σ is the surface charge density at that point. (The direction of `hat"n"` is from side 1 to side 2.) Hence show that just outside a conductor, the electric field is σ `hat"n"/in_0`

(b) Show that the tangential component of electrostatic field is continuous from one side of a charged surface to another.

[Hint: For (a), use Gauss’s law. For, (b) use the fact that work done by electrostatic field on a closed loop is zero.]


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?


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.


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 ______.


There are two metallic spheres of same radii but one is solid and the other is hollow, then ______.

A conductor carries a certain charge. When it is connected to another uncharged conductor of finite capacity, then the energy of the combined system 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?


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