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(a) A physics lab instructor is working on a new demonstration. She attaches two identical conducting balls with mass m = 0.220 g to cords of length L as shown in the figure. L m m Both balls have the same charge of 7.60 nC, and are in static equilibrium when 8 = 5.40°. What is L (in m)? Assume the cords are massless. × Draw a free-body diagram, apply Newton's second law for a particle in equilibrium to one of the balls. Find an equation for the distance between the two balls in terms of L and 6, and use this expression in your Coulomb force equation. m (b) What If? The charge on both balls is increased until each cord makes an angle of 0 = 10.8° with the vertical. If both balls have the same electric charge, what is the charge (in nC) on each ball in this case? Use the same reasoning as in part (a), only now, use the length found in part (a) and the new angle to solve for the charge. nC

(a) A physics lab instructor is working on a new demonstration. She attaches two identical conducting balls with mass m = 0.220 g to cords of length L as shown in the figure. L m m Both balls have the same charge of 7.60 nC, and are in static equilibrium when 8 = 5.40°. What is L (in m)? Assume the cords are massless. × Draw a free-body diagram, apply Newton's second law for a particle in equilibrium to one of the balls. Find an equation for the distance between the two balls in terms of L and 6, and use this expression in your Coulomb force equation. m (b) What If? The charge on both balls is increased until each cord makes an angle of 0 = 10.8° with the vertical. If both balls have the same electric charge, what is the charge (in nC) on each ball in this case? Use the same reasoning as in part (a), only now, use the length found in part (a) and the new angle to solve for the charge. nC

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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(a) A physics lab instructor is working on a new demonstration. She attaches two identical conducting balls with mass m = 0.220 g to cords of length L as shown in the figure. L m m Both balls have the same charge of 7.60 nC, and are in static equilibrium when 8 = 5.40°. What is L (in m)? Assume the cords are massless. × Draw a free-body diagram, apply Newton's second law for a particle in equilibrium to one of the balls. Find an equation for the distance between the two balls in terms of L and 6, and use this expression in your Coulomb force equation. m (b) What If? The charge on both balls is increased until each cord makes an angle of 0 = 10.8° with the vertical. If both balls have the same electric charge, what is the charge (in nC) on each ball in this case? Use the same reasoning as in part (a), only now, use the length found in part (a) and the new angle to solve for the charge. nC
Transcribed Image Text:(a) A physics lab instructor is working on a new demonstration. She attaches two identical conducting balls with mass m = 0.220 g to cords of length L as shown in the figure. L m m Both balls have the same charge of 7.60 nC, and are in static equilibrium when 8 = 5.40°. What is L (in m)? Assume the cords are massless. × Draw a free-body diagram, apply Newton's second law for a particle in equilibrium to one of the balls. Find an equation for the distance between the two balls in terms of L and 6, and use this expression in your Coulomb force equation. m (b) What If? The charge on both balls is increased until each cord makes an angle of 0 = 10.8° with the vertical. If both balls have the same electric charge, what is the charge (in nC) on each ball in this case? Use the same reasoning as in part (a), only now, use the length found in part (a) and the new angle to solve for the charge. nC
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