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Recitation ch 22 Answers at the end Question 1 In figure (2), find the magnitude of the electric field at the point R: (0,4) mm due to two-point charges q (1 micro-C) and - q placed at points A: (-3, 0) mm and B: (3, 0) mm, respectively. a 9.0*10**6 N/C. b 4.3*10**8 N/C. c 3.6*10**8 N/C. d Zero. e 7.2*10**8 N/C. ============================================== Question 2 Which of the following statements are CORRECT: 1. Electric charge is quantized. 2. The potential at the center of a charged conductor is zero. 3. If E = 0 at a point P then V must be zero at P. 4. The electric field inside a charged conductor is zero. 5. If V = 0 at a point P then E must be zero at P. a 1 and 4. b 3 and 5. c 2 and 4. d 1, 2 and 3. e 1, 2, and 5. ============================================== Question 3 Not required for second major An electric dipole consists of two opposite charges, each of magnitude 5.0*10**(-19) C, separated by a distance of 1.00*10**(-9) m. The dipole is placed in an electric field of strength 2.45*10**5 N/C. Calculate the magnitude of the torque exerted on the dipole when the dipole moment is perpendicular to the electric field. a 2.0*10**(-22) N*m. b - 5.2*10**(-19) N*m. c - 2.0*10**(-22) N*m. d 3.5*10**(-22) N*m. e 1.2*10**(-22) N*m. ============================================== Question 4 Which one of the following statements is WRONG? a Electric field lines form a vector field. b Electric field lines extend away from negative charges and toward positive charges. c The electric dipole consists of two charges having the same magnitude but opposite sign. d When an electric dipole is placed in a uniform external electric field, the net force on it is zero. e The principle of superposition applies to electric fields as well as electrostatic forces. ============================================== Question 5 A particle, of mass m and charge q, is released from rest at point A in a uniform electric field, see figure (2). The kinetic energy, due to the electric field, it attains after moving a distance y is: a q*E*y**2. b E*y. c q*E*y/2. d q*E*y. e m*q*E*y. ============================================== Question 6 A long noncoducting cylinder (radius 12.0 cm) has a charge of uniform density 5.0 nano-C/m**3 distributed through its column. Determin the magnitude of the electric field 5.0 cm from the axis of the cylinder. [See figure (3)]. a 34 N/C. b 4 N/C. c 31 N/C. d 14 N/C. e 22 N/C. ============================================== Question 7 Not required for second major An electric dipole is placed perpendicular to a uniform electric field of magnitude 1*10**5 N/C. How much work must be applied by an external agent in order to align the dipole opposite to the field ? For the dipole : q = 1 micro-Coulomb and d = 2 mm. a + 0.4 mJ b + 0.2 mJ c - 0.1 mJ d - 0.4 mJ e + 0.1 mJ ============================================== Question 8 In figure (4), what is the magnitude of the electric field at point P, center of the equilateral triangle? [take d = 2 m, q = 10**(-9) C] a 9 N/C. b 22 N/C. c 18 N/C. d 11 N/C. e Zero. ============================================== Question 9 Not required for second major An electric dipole has a dipole moment of magnitude 2.0*10**-9 C.m. The dipole is placed in an external dipole moment initially perpendicular to the field. The electric field rotates the dipole until it is aligned parallel to the field. How much work is done by the electric field ? a -6.0*10**(-7) J b +6.0*10**(-7) J c +12*10**(-7) J d -12*10**(-7) J e zero ============================================== Question 10 Four point charges are placed at the corners of a square as shown in figure 2. What is the magnitude of the electric field at the center of the square ? a 22.6*k*q/(a**2) b 1.41*k*q/(a**2) c 5.66*k*q/(a**2) d zero e 2.83*k*q/(a**2) ============================================== Question 11 Two point charges are located as shown in figure 1. q1 = +1 micro-Coulomb and q2 = -1 micro-Coulomb. Find the magnitude of the electric field at point P. a 4.32*10**6 N/C b 3.60*10**6 N/C c 5.76*10**6 N/C d zero e 5.04*10**6 N/C ============================================== Question 12 Which statement is false: a When an electric dipole is placed in a uniform electric field, the net force on the dipole is zero. b The principle of superposition applies to electric fields as well as to electrostatic forces. c The electric dipole consists of two charges of the same magnitude but opposite sign. d Electric field lines extend away from negative charge and toward positive charge. e Electric fields are vector fields. ============================================== Answers 1 b 2 a 3 e 4 b 5 d 6 d 7 b 8 e 9 b 10 c 11 a 12 d