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Q 1. A point charge Q1 = -6 microcoulomb is located at the origin and a second charge Q2 = 6 microcoulomb is located on the x axis at x = 1.0 m. What is the minimum energy required to move the 6 microcoulomb charge to infinity ?
(Ans: 0.324 J)
Q 2. The electric field between two charge parallel plates separated by a distance of 2 cm has a uniform value of 1.3 x 10 4 N/C. Find the kinetic energy gained by a proton in moving from the positive to the negative plate. (Ans: 4.16 x 10-17 J).
Q 3. A sphere with a charge of 4 x 10-9 C and mass of 5 g is suspended by means of a light thread between two large parallel plates 7 cm apart. What should be the potential difference between the two plates so that the thread makes an angle of 30o with the vertical. (Ans: 4.95 x 105 V)
Q 4. Two objects with equal masses of m = 2 g have charges q1 = 3 microcoulombs and q2 = 4 microcoulombs respectively. Initially, they are held at rest 5m apart. Then they are released. How fast is each object moving when they are 10m apart ? (Ans: 2.32 m/s)
Q 5. Calculate the work done to remove to infinity three charges q1 = -2.0 x 10-5 C, q2 = 3.0 x 10 Ц5 C, and q3 = 4.0 x 10-5 C from the three corners of an equilateral triangle of side 5.0 cm. (Ans: 36 J)
Q 6. Calculate the surface charge density for a solid spherical conductor of radius R = 0.1 m if the potential at a distance 0.4 m from the center of the sphere is 800 V.
(Ans: 2.83 x 10 Ц7)
Q 7. Two point charges, 20x10-9 c and 12x10-9 C, are separated by a distance of 5.0 cm. An electron is released from rest between the two charges, 1.0 cm from the negative charge, and moves along the line connecting the two charges. Find the speed of the electron when it is 1.0 cm from the positive charge.
(Ans: 8.7 x 107)
Q 8. A spherical drop of oil carrying a charge of 3 x 10-11 C has a potential of 500 V at its surface. It combines with another spherical oil drop of the same radius and carrying an equal charge. As a result a single spherical drop is formed. What is the potential at the surface of the new drop thus formed ?
(Ans: 794 V)
Q 9. The electric field outside a charged long straight wire is given by E = 5000/r volts/m and is radially inwards. Find the value of the potential difference between two points A & B which are at a radial distance of 30 cm and 60 cm respectively from the wire. (Ans: 3466 V)
Q 10. The electric potential in a certain region is given by V = 3 x 2- x y3 + 4y z, where x, y and z are the spatial coordinates. Find the magnitude of the electric field at the point (2,1,-4). (Ans: 24.9 N/C).
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