Q 1.20(b): A point charge causes an electric flux of to pass through a spherical Gaussian surface of 10.0 cm radius centred on the charge. What is the value of the point charge?
Q 1.20(a): A point charge causes an electric flux of to pass through a spherical Gaussian surface of 10.0 cm radius centred on the charge. If the radius of the Gaussian surface were doubled, how much flux would pass through the surface?
Q 1.19: A point charge of is at the centre of a cubic Gaussian surface 9.0 cm on edge. What is the net electric flux through the surface?
Q 1.18: A point charge is a distance 5 cm directly above the centre of a square of side 10 cm, as shown in Fig. What is the magnitude of the electric flux through the square? (Hint: Think of the square as one face of a cube with edge 10 cm.)
Q 1.17 (b): Careful measurement of the electric field at the surface of a black box indicates that the net outward flux through the surface of the box is .If the net outward flux through the surface of the box were zero, could you conclude that there were no charges inside the box? Why or Why not?
Q 1.17 (a) Careful measurement of the electric field at the surface of a black box indicates that the net outward flux through the surface of the box is . (a) What is the net charge inside the box?
Q 1.16: What is the net flux of the uniform electric field of Exercise 1.15 through a cube of side 20 cm oriented so that its faces are parallel to the coordinate planes?
Q 1.15(b) Consider a uniform electric field .What is the flux through the same square if the normal to its plane makes a angle with the x-axis?
Q 1.15(a): Consider a uniform electric field . (a) What is the flux of this field through a square of 10 cm on a side whose plane is parallel to the yz plane?
Q 1.14: Figure shows tracks of three charged particles in a uniform electrostatic field. Give the signs of the three charges. Which particle has the highest charge to mass ratio?
Q 1.13: Suppose the spheres A and B in Exercise 1.12 have identical sizes. A third sphere of the same size but uncharged is brought in contact with the first, then brought in contact with the second, and finally removed from both. What is the new force of repulsion between A and B?
Q 1.12(b): What is the force of repulsion if each sphere is charged double the above amount, and the distance between them is halved?
Q 1.12(a): Two insulated charged copper spheres A and B have their centres separated by a distance of 50 cm. What is the mutual force of electrostatic repulsion if the charge on each is ? The radii of A and B are negligible compared to the distance of separation.
Q 1.11(b): A polythene piece rubbed with wool is found to have a negative charge of . Is there a transfer of mass from wool to polythene?
Q 1.11(a): A polythene piece rubbed with wool is found to have a negative charge of . (a) Estimate the number of electrons transferred (from which to which?)
Q 1.10: An electric dipole with dipole moment is aligned at with the direction of a uniform electric field of magnitude . Calculate the magnitude of the torque acting on the dipole.
Q 1.9: A system has two charges and C located at points A: (0, 0, –15 cm) and B: (0,0, +15 cm), respectively. What are the total charge and electric dipole moment of the system?
Q 1.8(b): Two point charges and are located 20 cm apart in vacuum. If a negative test charge of magnitude is placed at this point, what is the force experienced by the test charge?
Q 1.8(a): Two point charges and are located 20 cm apart in vacuum. (a) What is the electric field at the midpoint O of the line AB joining the two charges?