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Problems and solutions on magnetism 17 august 2015

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The figure to the right applies to the following two questions Positive and negative charges of equal magnitude lie along the symmetry axis of a cylinder. The distance from the positive charge to the left end-cap of the cylinder is the same as the distance from the negative charge to the right end-cap. 17. What is the flux of the electric field through the closed cylinder? right end-cap (A)0 (B) +080 (C)+20% (E) None of the above. 18. What is the sign of the flux through the right end-cap of the cylinder? (A) positive (B) negative (C) There is no flux through the right end-cap. ???1.15x10 The visible portion of a lightning strike is preceded by an invisible stage in which a column of electrons extends downward from a cloud to the ground. Assume the linear charge density along the column is-1.15 x10 Chm. Treat the column of charge as if it were straight and infinitely long. 19. What is the flux of the electric field through a closed Gaussian cylinder 1.00 m in length chat is coaxial with the column of electrons? (A) -1.05 10 N m2c (B) -1.15 10 N m2C (C)-1.30x108 N-mi2/C (D)-1.47x10s N.? /C (E) -1.68 10 N m2/C Gaussian surface 20. At what distance from the colum of electrons does the electric field have a magnitude of 3.00 x10 N/C? (Air undergoes dielectric breakdown in an electric field exceeding this value, so the distance you calculate is an estimate of the radius of a visible lightning bolt.) (A) 4.17 m (B) 5.55 m (C) 6.89 m (D) 7.34 m (B) 8.01 m Solution 17. The flux is zero since there is no charge enclosed in the cylinder. Option A is correct 18. The field will be towards right hence the E.A will be positive so the sign of the flux will be positive. Option A is correct .

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- The figure to the right applies to the following two questions Positive and negative charges of equal magnitude lie along the symmetry axis of a cylinder. The distance from the positive charge to the left end-cap of the cylinder is the same as the distance from the negative charge to the right end-cap. 17. What is the flux of the electric field through the closed cylinder? right end-cap (A)0 (B) +080 (C)+20% (E) None of the above. 18. What is the sign of the flux through the right end- cap of the cylinder? (A) positive (B) negative (C) There is no flux through the right end-cap. ???1.15x10 The visible portion of a lightning strike is preceded by an invisible stage in which a column of electrons extends downward from a cloud to the ground. Assume the linear charge density along the column is-1.15 x10 Chm. Treat the column of charge as if it were straight and infinitely long. 19. What is the flux of the electric field through a closed Gaussian cylinder 1.00 m in length chat is coaxial with the column of electrons? (A) -1.05 10 N m2c (B) -1.15 10 N m2C (C)-1.30x108 N-mi2/C (D)-1.47x10s N.? /C (E) -1.68 10 N m2/C Gaussian surface 20. At what distance from the colum of electrons does the electric field have a magnitude of 3.00 x10 N/C? (Air undergoes dielectric breakdown in an electric field exceeding this value, so the distance you calculate is an estimate of the radius of a visible lightning bolt.) (A) 4.17 m (B) 5.55 m (C) 6.89 m (D) 7.34 m (B) 8.01 m Solution 17. The flux is zero since there is no charge enclosed in the cylinder. Option A is correct 18. The field will be towards right hence the E.A will be positive so the sign of the flux will be positive. Option A is correct

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