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Two small charged spheres are placed in vacuum on the x-axis: q1 = +5.0 µC at x = 0 and q2 = -8.0µC at x = 50cm. A third charge is placed at x = 1cm such that the net force it experiences due to q1 and q2 is zero. What is the value of a? Draw a sketch of the problem and label appropriately.

Two small charged spheres are placed in vacuum on the x-axis: q1 = +5.0 µC at x = 0 and q2 = -8.0µC at x = 50cm. A third charge is placed at x = 1cm such that the net force it experiences due to q1 and q2 is zero. What is the value of a? Draw a sketch of the problem and label appropriately.

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INSTRUCTIONS: Show your complete solution to each problem on a short bond paper. Answers must be expressed in engineering notation (when the exponent of the base 10 multiplier is not a multiple of 3, press ENG or SHIFT+ENG, whichever the case.) Example: 0.06N or 6.0x10-2 N must be expressed to 60x10-3 N or 60mN 1. Two small charged spheres are placed in vacuum on the x-axis: q1 = +5.0 µC at x = 0 and q2 = -8.0µC at x = 50cm. A third charge is placed at x = 1cm such that the net force it experiences due to q1 and q2 is zero. What is the value of a? Draw a sketch of the problem and label appropriately. 2. Two charges q1 = +5 µC and q2 = +8.5 µC are separated by a distance of 15 cm. Point P is located along the line segment joining the two charges. How far is point P from q1, if the magnitude of the electric field at point P due to the two charges is equal to zero? Draw a sketch of the problem and label appropriately. 3. The figure below shows two tiny charged spheres q1 = +5 µC and q2 = -7.5 µC separated by 8.0 cm. a) Draw and label the electric fields at point ã and determine the magnitude and direction of the electric field at point P. b) If q3 = -3.2 mC is placed at point P, draw and label the FBD of q3 and determine the magnitude and direction of the force on q3. 4.0 cm 4.0 cm 92 4. Three charges are placed on three corners of a square, as shown in the figure. Each side of the square is 24.0 cm. Compute the magnitude and direction of the electric field at the fourth corner. 91 = +4.0 nC 92 = -6.5 nC 93 =-3.5 nC 5. Two persons, weighing 784 N each, carry an excess charge of 1.0 Coulomb, one positive and one negative. a) If they are two meters apart, what is the magnitude of the force of attraction due to the excess charge? b) How far apart must the two persons be such that the force of attraction due to the excess charge is equal to their 784-N weight?
Transcribed Image Text:INSTRUCTIONS: Show your complete solution to each problem on a short bond paper. Answers must be expressed in engineering notation (when the exponent of the base 10 multiplier is not a multiple of 3, press ENG or SHIFT+ENG, whichever the case.) Example: 0.06N or 6.0x10-2 N must be expressed to 60x10-3 N or 60mN 1. Two small charged spheres are placed in vacuum on the x-axis: q1 = +5.0 µC at x = 0 and q2 = -8.0µC at x = 50cm. A third charge is placed at x = 1cm such that the net force it experiences due to q1 and q2 is zero. What is the value of a? Draw a sketch of the problem and label appropriately. 2. Two charges q1 = +5 µC and q2 = +8.5 µC are separated by a distance of 15 cm. Point P is located along the line segment joining the two charges. How far is point P from q1, if the magnitude of the electric field at point P due to the two charges is equal to zero? Draw a sketch of the problem and label appropriately. 3. The figure below shows two tiny charged spheres q1 = +5 µC and q2 = -7.5 µC separated by 8.0 cm. a) Draw and label the electric fields at point ã and determine the magnitude and direction of the electric field at point P. b) If q3 = -3.2 mC is placed at point P, draw and label the FBD of q3 and determine the magnitude and direction of the force on q3. 4.0 cm 4.0 cm 92 4. Three charges are placed on three corners of a square, as shown in the figure. Each side of the square is 24.0 cm. Compute the magnitude and direction of the electric field at the fourth corner. 91 = +4.0 nC 92 = -6.5 nC 93 =-3.5 nC 5. Two persons, weighing 784 N each, carry an excess charge of 1.0 Coulomb, one positive and one negative. a) If they are two meters apart, what is the magnitude of the force of attraction due to the excess charge? b) How far apart must the two persons be such that the force of attraction due to the excess charge is equal to their 784-N weight?
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