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In a certain region of space electric f...

In a certain region of space electric field is along the z direction throughuot the magnitude of electric is however not constant `10^(-5) NC^(-1)` per meter what are the force torque experienced by a system having a total dipole equal to `10^(-7)` cm in the negative z direction

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Only (c ) is right the rest cannot represent electrostaic field lines (a) is wrong because field lines must be normal to a conlductor (b) is wrong because field lines cannot start wrong because electrostatic field lines cannot form closed loops
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In a certain region of space, electric field is along the z-direction throughout. The magnitude of electric field is, however, not constant but increases uniformly along the positive z-direction, at the rate of 10^5 NC^(-1) per meter. What are the force and torque experienced by a system having a total dipole moment equal to 10^(-7) cm in the negative z-direction ?

An electric dipole with dipole moment 4 xx 10^(-9) Cm is aligned at 30° with the direction of a uniform electric field of magnitude 5 xx 10^4 NC^(-1) . Calculate the magnitude of the torque acting on the dipole.

A square loop of side 12 cm with its sides parallel to X and Y axes is moved with a velocity of 8 "cm s"^(-1) in the positive x-direction in an environment containing a magnetic field in the positive z-direction. The field is neither uniform in space nor constant in time. It has a gradient of 10^(-3) "T cm"^(-1) along the negative x-direction (that is it increases by 10^(-3) "T cm"^(-1) as one moves in the negative x-direction), and it is decreasing in time at the rate of 10^(-3) T s^(-1) . Determine the direction and magnitude of the induced current in the loop if its resistance is 4.50 mOmega .

In a certain region of space, the potential is given by V=k(2x^(2)-y^(2)+z^(2)) . The electric field at the point (1, 1, 1) has magnitude:

A uniform magnetic field of 1.5 T exists in a cylindrical region of radius10.0 cm, its direction parallel to the axis along east to west. A wire carrying current of 7.0 A in the north to south direction passes through this region. What is the magnitude and direction of the force on the wire if, (a) the wire intersects the axis, (b) the wire is turned from N-S to northeast-northwest direction, (c) the wire in the N-S direction is lowered from the axis by a distance of 6.0 cm?

The horizontal component of the earth’s magnetic field at a certain place is 3.0 x×10^(-5) T and the direction of the field is from the geographic south to the geographic north. A very long straight conductor is carrying a steady current of 1A. What is the force per unit length on it when it is placed on a horizontal table and the direction of the current is (a) east to west, (b) south to north?

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.

A molecule of a substance has a permanent electric dipole moment of magnitude 10^(-30) Cm. A mole of this substance is polarised (at low temperature) by applying a strong electrostatic field of magnitude 10^(7) vm^(-1) . The direction of the field is suddenly changed by an angle of 60^(@) . Estimate the heat released by the substance in aligning its dipole along the new direction of the field. For simplicity assume 100 % polarisation of the sample. 1 mole = 6 xx 10^(23) molecule.

An electron falls through a distance of 1.5cm in a uniform electric field of magnitude 2 times 10^4 NC^-1 . The direction of the field is reversed keeping its magnitude unchanged and a proton falls through the same distance. Compute the time of fall in each case.

A molecule of a substance has a permanent electric dipole moment of magnitude 10^(-29) C m. A mole of this substance is polarised (at low temperature) by applying a strong electrostatic field of magnitude 10^(6) V m^(-1) . The direction of the field is suddenly changed by an angle of 60^(@) . Estimate the heat released by the substance in aligning its dipoles along the new direction of the field. For simplicity, assume 100% polarisation of the sample.

NCERT GUJARATI-ELECTRIC CHARGES AND FIELDS -EXERCISES
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  2. What is the net flux of the uniform electric field of exercise th...

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  3. Careful measurement of the electric field at the surface of a black b...

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  4. A point charge + mu c is a distance 5 cm directly above the centre of...

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  5. A point charge of 2.0 mu c is at the centre of a cubic gaussian ...

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  6. A point charge causes an elelctric flux of -1.0 xx10^(3) Nm^(2) /C to...

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  7. A conducting sphere of radius 10 cm has an unknown charge if the elect...

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  8. A uniformly charged conducting sphere of 2.4 m diameter has a (a)...

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  9. An infinite line charge produces a field of 9xx10^(4) N/C at a dis...

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  10. Two large thin metal plates are parallel and close to each other on...

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  11. An oil drop of 12 exess electrons is held stationary under a consta...

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  12. Which among the curves cannot possibly represent electrostatic fie...

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  13. In a certain region of space electric field is along the z direction...

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  14. (a) a conductor a with a cavity given a charge Q show that the enti...

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  15. A hollow charged conductor has a tiny hole cut in to its surface sho...

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  16. Obtain the formula for the electric field due to a long thin wire ...

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  17. It is now established that protons and neutrons are themselves bui...

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  18. (a) consider an arbitrary electrostic field configuration a small tes...

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  19. A particle of mass m and charge enters the region between the two char...

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  20. Suppose that the particle in exercise in 1.33 an electron projecrt...

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