TUTORIAL PHY150/Z S Mahmud/JUNE-OCT2015

CHAPTER 1: ELECTRIC CHARGE AND ELECTRIC FIELD

1. State Coulomb’s Law (Mac 2013)

2. Three charged particles are placed on an x-axis as shown in Figure 1. The three charges are q1 = 1.60 x 10-19 C, q2 = 3.20 x 10-19 and q3 = -3.20 x 10-19 C. Particle q1 is at a distance 0.015 m from particle q2. (Mac 2013)

Figure 1

3. Figure 2 shows three charged particles placed at the corners of an equilateral triangle of side 1.20 m. The charges are Q1=+7µC, Q2=-10µC, and Q3=-5µC. Calculate the magnitude and direction of the net force on Q1=+7µC due to the other two charges using vector method. (Mac 2012)

Figure 2

4. Two positive charges are located at points A and B as shown in the Figure 3. The distance from each charge to the point P is a=2.0 m. (Sept 2011)

Figure 3

a) Determine the magnitude of the net electric field at point P.b) Calculate the direction of the net electric field at P.

TUTORIAL PHY150/Z S Mahmud/JUNE-OCT2015

5. Two point charges are located on the y-axis as follows: charge q1=+3.60 nC at y=0.600 m, and charge q2=-1.50 nC at the origin. (Apr 2011)

a. With the aid of a vector diagram, determine the net force exerted by these two charges on a third charges q3=+5.00 nC located along the x-axis at x=0.400 m.

b. What is the direction of the net force.

6. Figure 4 below represents three charges Q1=+10µC, Q2=-5µC and Q3=+5µC. (Oct 2010)

Figure 4a. Draw the directions of the electrical forces acted on charge Q3 due

to the charges Q1 and Q2.b. Calculate the magnitude and direction of the resultant electric force

acted on charge Q3.

7. A +7.7µC and a -3.5 µC charge are placed 18.5 cm apart. Give one position where a third charge shall be placed (other than ∞), so that it experiences no net force. (Apr 2010)

8. Four charges are placed at the corners of a rectangle of dimensions 3 cm times 4 cm as shown in Figure 5. Given that Q1=-2µC, Q2=+5µC, Q3=+1µC, Q4=+7µC. Find the net force on Q3 (Oct 2009)

Figure 5

TUTORIAL PHY150/Z S Mahmud/JUNE-OCT2015

9. Three charged particles q1=+0.3µC, q2=-0.5µC and q3=+0.2µC are placed at three corners of a triangle as shown in Figure 6. Each side of the square is 0.5 cm. Calculate the force experienced by charge q3. (Apr 2009)

10. Figure 6 below represents three charges Q1, Q2, and Q3 . Point A is midpoint between Q2 and Q3. Find the electric field at point A. (Oct 2008)

Figure 6

11. Two point charges are placed at the two corners of a triangle as shown in Figure 7. The charges are q1=+10µC, and q2=-10µC. (Apr 2008)

Figure 7

a) Draw a vector diagram and show the electric field vectors E1 and E2 at point X due to charge q1 and q2, respectively.

b) Calculate the magnitude and direction of the resultant electric field at point X.c) If a point charge of 3µC is placed at point X, determine the magnitude and

direction of the force exerted on it.

12. Calculate the electric flux passing through a Gaussian surface that surrounds a +0.075 C point charge. (Mac 2013)

13. Calculate the electric flux through the rectangle which is 10 cm by 20 cm, the electric field is uniform at 200 NC-1 and the angle is 30°. (Mac 2013)

TUTORIAL PHY150/Z S Mahmud/JUNE-OCT2015

14. A metal sphere of radius 2.0 cm carries a charge of 3.0 µC. What is the electric field 6.0 cm from the center of the sphere? (Mac 2012)

15. A uniform electric field with a magnitude of 125 000 N/C passes through a rectangle with sides of 2.50 m and 5.00 m. The angle between the electric field vector and the vector normal to the rectangle plane is 65.0°. What is the electric flux through the rectangle? (Sept 2011)

16. Two parallel metal plates, each of area 0.40 m2, have opposite charges of the same magnitude on their plates. If the uniform electric field between the plates is 55 N/C, what is the magnitude of charge on each plate? (Apr 2011)

17. A Gaussian surface encloses a charge of 2 µC in vacuum. What is the electric flux through the surface? (Apr 2011)