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Question 1 Uniformly charged ring of charge Q and radius R 1) Q / Δθ 2) QR) 3) Q*ΔθR) What is Q, expressed in terms of given 4) Q*Δθ constants and an integration variable? 5) Q*R*ΔθR) Question 2 Uniformly charged ring of charge Q and radius R What are the integration limits? 1) 0 to ∞ 2) 3) 4) 5) ∞ to +∞ 0 to θ 0 to – to + Question 3 By thinking about the physical situation, predict the magnitude of the electric field at the center of a uniformly charged ring of radius R carrying a charge +Q. Then use the formula we just derived to confirm this result. 1) E = 1/(4ε0) Q/z2 2) E = 1/(4ε0) Qz/R3 3) E = 0 4) E = ∞ Question 4 The electric field inside a large capacitor is shown at left. 148085775 1 Which arrow best represents the electric field at the "x"? Question 5 The electric field at any location inside a hollow, uniformly charged sphere, due to the charge on the surface of the sphere, is zero. True or false? 1) True, because the electric field can't penetrate the material of the sphere 2) True, because the contributions of all the charges on the surface add up to zero at every location inside the sphere. 3) True, but only at the center of the sphere, where all the contributions cancel. 4) False, because the electric field due to the surface charges penetrates the sphere. Question 6 148085775 2 A spherical shell is uniformly charged as shown. What is the direction of the electric field at x? Question 7 A spherical shell is uniformly charged as shown. What is the direction of the electric field at x? Question 8 A spherical shell is uniformly charged as shown. What is the direction of the electric field at x? 148085775 3 Question 9 A spherical shell is charged as shown. What is the direction of the electric field at x? Question 10 Think carefully A negatively charged hollow plastic sphere is near a negatively charged plastic rod. What is the direction of the net electric field at location P, inside the sphere? Question 11 A solid plastic ball has negative charge uniformly spread over its surface. Remember that the electric field inside a uniformly charge sphere, due to the charges on the sphere, is zero. Which diagram best shows the polarization of molecules inside the ball? 148085775 4 Question 12 You stand at location A, a distance d from the origin, and hold a small charged ball. You find that the electric force on the ball is 0.008 N. You move to location B, a distance 2d from the origin, and find the electric force on the ball to be 0.004 N. What object located at the origin might be the source of the field? 1) A point charge 5) A uniformly charged disk 2) A dipole 6) A capacitor 3) A uniformly charged rod 7) A uniformly charged hollow sphere 4) A uniformly charged ring 8) None of the above Question 13 You stand at location A, a distance d from the origin, and hold a small charged ball. You find that the electric force on the ball is 0.08 N. You move to location B, a distance 2d from the origin, and find the electric force on the ball to be 0.01 N. What object located at the origin might be the source of the field? 148085775 5 1) A point charge 2) A dipole 3) A uniformly charged rod 4) A uniformly charged ring 5) A uniformly charged disk 6) A capacitor 7) A uniformly charged hollow sphere 8) None of the above Question 14 You stand at location A, a distance d from the origin, and hold a small charged ball. You find that the electric force on the ball is 0.009 N. You move to location B, a distance 2d from the origin, and find the electric force on the ball to be 0.0045 N. What object located at the origin might be the source of the field? 1) A point charge 5) A uniformly charged disk 2) A dipole 6) A capacitor 3) A uniformly charged rod 7) A uniformly charged hollow sphere 4) A uniformly charged ring 8) None of the above Question 15 You stand at location A, a distance d from the origin, and hold a small charged ball. You find that the electric force on the ball is 0.009 N. You move to location B, a distance 2d from the origin, and find the electric force on the ball to be 0.00899 N. What object located at the origin might be the source of the field? 1) A point charge 5) A uniformly charged disk 2) A dipole 6) A capacitor 3) A uniformly charged rod 7) A uniformly charged hollow sphere 4) A uniformly charged ring 8) None of the above 148085775 6