Questions Chapter 22 Electric Fields 22-1 What is Physics? 22-2 The Electric Field 22-3 Electric Field Lines 22-4 Electric Field due to a Point Charge 22-5 Electric Field due to an Electric Dipole 22-6 The Electric Field Due to a Line of Charge 22-7 Electric Field due to a Charged Disk 22-8 A Point Charge in an Electric Field 22-9 A Dipole in an Electric Field Phys102-Ch22 - page 1
22-4 Electric Field due to a Point Charge M2-062 Three point charges q 1, q 2, and q 3 are fixed at the three corners of a rightangle triangle as shown in the figure. Given that q 1 = q 2 = +3.2 10-19 C while q 3 = -1.6 10-19 C, and b = 5.0 cm. The magnitude of the net electric field at point P due to all the three point charges is: A) 0.00 N/C B) 7.07 10-6 N/C C) 5.00 10-6 N/C D) 1.15 10-6 N/C E) 4.80 10-6 N/C Answer D Phys102-Ch22 - page 2
22-4 Electric Field due to a Point Charge M2-061 Three electric charges Q A = Q B = q, and Q C = -2q are located at the points A (x = + a, y = 0), B (x = -a, y = 0), and C (x = 0, y = +2a), respectively. What is the electric field at the origin? A) k q/a toward Q c B) k q/2a 2 away from Q c C) k q/2a 2 toward Q c D) k q/a away from Q c E) Zero Answer C Phys102-Ch22 - page 3
22-4 Electric Field due to a Point Charge M2-042 Three charges +2.00x10-8 C, +2.00x10-8 C, and -4.00x10-8 C are respectively arranged at the corners F, G, and H of a right-angle triangle as shown in figure 2. Find the magnitude and direction of the resultant electric field at point P due to the three charges. A) 1.09x10 5 N/C towards F. B) 5.37x10 3 N/C towards H. C) 2.88x10 3 N/C towards H. D) 5.37x10 3 N/C away from H. E) 2.88x10 3 N/C away from H. Answer C Phys102-Ch22 - page 4
22-4 Electric Field due to a Point Charge M2-041 The electric field produced by a +3.0 C charge at a point 1000 m to the left of the charge is: A) 1.7 x 10 7 N/C toward the left. B) 2.7 x 10 4 N/C toward the right. C) 3.0 x 10 4 N/C toward the left. D) 3.0 x 10 4 N/C toward the right. E) 2.7 x 10 4 N/C toward the left. Answer E Phys102-Ch22 - page 5
22-5 Electric Field due to an Electric Dipole M2-092 An electric dipole consists of a particle with a charge of +6.0 10 6 C at the origin and a particle with a charge of 6.0 10 6 C on the x axis at x = 3.0 10 3 m. Its dipole moment is: A) 1.8 10 8 C.m, in the negative x direction. B) 1.8 10-8 C.m, in the positive x direction. C) 0 because the net charge is 0. D) 1.8 10 8 C.m, in the positive y direction. E) 1.8 10 8 C.m, in the negative y direction. Answer A Phys102-Ch22 - page 6
22-8 A Point Charge in an Electric Field M2-062 The figure shows a charged ball of mass m = 1.0 g is suspended by a light string in the presence of a uniform electric field,. In this field, the ball is in equilibrium at θ = 37 0. The charge "q" on the ball is: A) 0.00 C B) - 2.46 10-8 C C) 2.46 10-8 C D) - 7.07 10-8 C E) 4.80 10-6 C Answer B Phys102-Ch22 - page 7
22-8 A Point Charge in an Electric Field M2-062 The electric field between two long and parallel charged plates is uniform, and is equal to. An electron with velocity components v x = 3.0 10 5 m/s and v y = 2.0 10 3 m/s enters the region between these plates. The acceleration of the electron when its x-coordinate has changed by 2 cm is: A) - 4.2 10 13 (m/s 2 ) B) - 9.8 (m/s 2 ) C) +1.8 10 11 (m/s 2 ) D) - 3.0 10 8 (m/s 2 ) E) +5.4 10 9 (m/s 2 ) Answer A Phys102-Ch22 - page 8
22-8 A Point Charge in an Electric Field M2-061 A proton with a speed of 3.0 10 5 m/s moves in uniform electric field of 1.9 10 3 N/C. The field is acting to decelerate the proton. How far does the proton travel before it is brought to rest? A) 0.61 m B) 0.45 m C) 0.53 m D) 0.29 m E) 0.25 m Answer E Phys102-Ch22 - page 9
22-8 A Point Charge in an Electric Field M2-061 In a uniform electric field, which statement is CORRECT? A) All electric field lines are parallel. B) All charged particles experience the same force. C) All charged particles move with the same velocity. D) All electric field lines are directed away from the negative charges. E) All electric field lines are directed towards the positive charges. Answer A Phys102-Ch22 - page 10
22-8 A Point Charge in an Electric Field M2-042 In figure 9, a small ball of mass m=2.0 g is hanging from a fixed point by a non-conducting string of length 1.00 m. The ball carries a charge q=25.0x10-9 C. The mass of the string is negligible. An electric field E with magnitude E=2.0x10 5 N/C, in the positive x-direction, causes the ball to be in an equilibrium position with an angle Theta. Find the angle Theta. [Take g = 9.80 m/s 2 ]. A) 0.2 degrees. B) 10.0 degrees. C) 7.1 degrees. D) 14.3 degrees. E) 75.7 degrees. Answer D Phys102-Ch22 - page 11
22-8 A Point Charge in an Electric Field M2-042 A uniform electric field is set up between two large charged plates, see Figure 3. An electron is released from the negatively charged plate, and at the same time, a proton is released from the positively charged plate. They cross each other at a distance of 5.00x10-6 m from the positively charged plate. If only the field due to the charged plates is considered, find the distance between the two plates. [Take the ratio mass of the electron : mass of the proton = 1 : 1833] A) 7.77 mm. B) 11.3 mm. C) 2.34 mm. D) 9.19 mm. E) 14.6 mm. Answer D Phys102-Ch22 - page 12
22-9 A Dipole in an Electric Field M2-081 The dipole moment of a dipole in a 300-N/C electric field is initially perpendicular to the field, but it rotates so that it becomes in the same direction as the field. If the electric dipole moment has a magnitude of 2.0 x 10-9 C.m, the work done by the field is: A) +6.0 x10-7 J. B) -6.0 x 10-7 J C) 0. D) -12 x 10-7 J. E) +12 x 10-7 J. Answer A Phys102-Ch22 - page 13
22-9 A Dipole in an Electric Field M2-091 An electric dipole consists of two opposite charges, each of magnitude 2.0 nc. A uniform electric field of magnitude 300 N/C makes an angle of 25 with the dipole moment of the dipole. If the torque exerted by the field has a magnitude of 2.5 10-11 N.m, the distance between the two charges of the dipole is: A) 99 µm B) 46 µm C) 18 µm. D) 38 µm E) 53 µm. Answer A Phys102-Ch22 - page 14
22-9 A Dipole in an Electric Field M2-082 An electric dipole consists of two opposite charges, each of magnitude 5.00 10-19 C, separated by a distance d = 1.00 10-9 m. The dipole is placed in a uniform electric field of strength 2.45 10 5 N/C. Calculate the torque exerted on the dipole when the dipole moment is perpendicular to the electric field as shown in figure. A) 1.23 10-22 N.m. into the page B) 5.20 10-19 N.m. out of the page C) 2.00 10-22 N.m. into the page. D) 2.00 10-22 N.m. out of the page E) 5.20 10-19 N.m. into the page. Answer A Phys102-Ch22 - page 15