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XII_ELECTROSTATICS, MAGNETISM & EMI

 

Q1. How can you charge a metal sphere positively without touching it?       2.

 

Q2.If 109   electrons move out of a body to another body every second, how much time is required to get a total charge of 1 C on the other body?                                  2.

Q3

2.

Q4. Derive the expression of the electric field due to a charged sheet.                                         3.               

Q5

    2.

 

Q6   A 600pF capacitor is charged by a 200V supply. It is then disconnected from the supply and is connected to another uncharged 600 pF capacitor. How much electrostatic energy is lost?

in the process?                                                                                                                                      3.

Q7   A circular coil of 20 turns and radius 10 cm is placed in a uniform magnetic field of 0.10 T normal to the plane of the coil. If the current in the coil is 5.0 A, what is the (a) total torque on the coil, (b) total force on the coil,                                                                                                              3.

Q8 (a)Derive the expression of the capacity of a parallel plate capacitor and electric field density?                                                                                                                                                  5.

Q9.Two charges 3 × 10–8 C and –2 × 10–8 C are located 15 cm apart. At what point on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.   3.

Q10  Draw equipotential surfaces for (a) a dipole and (b) two identical positive charges.             3.

Q11A slab of material of dielectric constant K has the same area as the plates of a parallel-plate capacitor but has a thickness (3/4)d, where d is the separation of the plates. How is the capacitance changed when the slab is inserted between the plates?                                               3.

Q12  If one of the two electrons of a H2 molecule is removed, we get a hydrogen molecular ion H+2. In the ground state of an H+ 2, the two protons are separated by roughly 1.5 Ĺ, and the electron is roughly 1 Ĺ from each proton. Determine the potential energy of the system.             

Specify your choice of the zero of potential energy.                                                                                    4

 

 

 

 

 

 

 

 

 

 

Q 13.

Q 15.  Answer carefully:

(a) Two large conducting spheres carrying charges Q1 and Q2 are brought close to each other. Is the magnitude of electrostatic force between them exactly given by Q1 Q2/4π ε0r 2, where r is the distance between their centres?

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

(c) A small test charge is released at rest at a point in an electrostatic field configuration. Will it travel along the field line passing through that point?

(d) What is the work done by the field of a nucleus in a complete circular orbit of the electron? What if the orbit is elliptical?

(e) We know that electric field is discontinuous across the surface of a charged conductor. Is electric potential also discontinuous there?

(f ) What meaning would you give to the capacitance of a single conductor?

(g) Guess a possible reason why water has a much greater dielectric constant (= 80) than say, mica (= 6).

Two charges –q and +q are located at points (0, 0, –a) and (0, 0, a), respectively.

(a) What is the electrostatic potential at the points (0, 0, z) and (x, y, 0) ?

(b) Obtain the dependence of potential on the distance r of a point

from the origin when r/a >> 1.

(c) How much work is done in moving a small test charge from the point (5,0,0) to (–7,0,0) along the x-axis? Does the answer change if the path of the test charge between the same points

is not along the x-axis?

 

 

 

      

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

24 (LGF) FEROZE GANDHI ROAD(OPP VLCC), LAJPAT NAGAR III  N D --110024  EMAIL:  INFO@SETONLINE.ORG

24 (LGF) FEROZE GANDHI ROAD(OPP VLCC), LAJPAT NAGAR III  N D --110024  EMAIL:  INFO@SETONLINE.ORG

9811870668, 9810395887

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

24 (LGF) FEROZE GANDHI ROAD(OPP VLCC), LAJPAT NAGAR III  N D --110024  EMAIL:  INFO@SETONLINE.ORG