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Ashok0210

Asked: February 20, 2021In: Class 12 Physics

(a) Show that the normal component of electrostatic field has a discontinuity from one side of a charged surface to another given by ( E₂ -E₁ ). ñ =σ/ ε0 where ñ is a unit vector normal to the surface at a point and σ is the surface charge density at that point. (The direction of ñ is from side 1 to side 2.) Hence show that just outside a conductor, the electric field is σ nˆ /ε0. (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.]

Class 12 Physics, CBSE and UP Board, Electrostatic Potential and Capacitance, Additional Exercise,Chapter-2 Exercise 2.16,NCERT Solutions for Class 12 Physics

Ashok0210

Asked: February 20, 2021In: Class 12 Physics

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.

Class 12 Physics, CBSE and UP Board, Electrostatic Potential and Capacitance, Additional Exercise,Chapter-2 Exercise 2.15, NCERT Solutions for Class 12 Physics

Ashok0210

Asked: February 20, 2021In: Class 12 Physics

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

Class 12 Physics, CBSE and UP Board, Electrostatic Potential and Capacitance, Additional Exercise,Chapter-2 Exercise 2.36,NCERT Solutions for Class 12 Physics

Ashok0210

Asked: February 20, 2021In: Class 12 Physics

In a Van de Graaff type generator a spherical metal shell is to be a 15 × 10⁶ V electrode. The dielectric strength of the gas surrounding the electrode is 5 × 10⁷ Vm⁻¹. What is the minimum radius of the spherical shell required? (You will learn from this exercise why one cannot build an electrostatic generator using a very small shell which requires a small charge to acquire a high potential.)

Class 12 Physics, CBSE and UP Board, Electrostatic Potential and Capacitance, Additional Exercise,Chapter-2 Exercise 2.35,NCERT Solutions for Class 12 Physics

Ashok0210

Asked: February 20, 2021In: Class 12 Physics

Describe schematically the equipotential surfaces corresponding to (a) a constant electric field in the z-direction, (b) a field that uniformly increases in magnitude but remains in a constant (say, z) direction,(c) a single positive charge at the origin, and (d) a uniform grid consisting of long equally spaced parallel charged wires in a plane.

Class 12 Physics, CBSE and UP Board, Electrostatic Potential and Capacitance, Additional Exercise,Chapter-2 Exercise 2.34,NCERT Solutions for Class 12 Physics

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

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