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- Problem 1: In the Figure below three charged particles are placed at the corners of an equilateral triangle of side 1.20 m. The charges are Q₁ = +4.0 µC = +4.0 × 10-6 C, Q₂ = -8.0 μC = -8.0 x 10-6 C, Q3 = -6.0 μC : = -6.0 x 10-6 C.. a) What is the electric force on Q₁ due to Q₂ and Q3? Answer: -(0.025 N)î - (0.30 N)ĵ. b) What is the electric force on Q₂ due to Q₁ and Q3? Answer: -(0.20 N)î + (0.17 N)ĵ. c) What is the electric force on Q3 due to Q₁ and Q₂? Answer: +(0.23 N)î + (0.13 N)ĵ. 21 = +4.0 μC 1.20 m 2₂=-8.0 μC 1.20 m 1.20 m Q3= -6.0 μC -k = = 9 x 10º. Consider three charges: q1 = - 24 µC on x axis at = 3 cm , 92 = 8 µC on y axis at y = 4 cm, and q3 = 9 µC on negative x axis at x = -3 cm. Find a. The y component of the electric field at the origin. b. What is the electric field magnitude at a large distance r from the origin? y (cm) 4 q2 = 8 µC qı=-24 µC →x(cm) q3=9 µC c. What is the net flux through a spherical surface of radius 3.5 cm with center at the origin?Two small charged spheres are placed in vacuum on the x-axis: 91 = +4.15 µC at x = 0 and q2 = -6.46 µC at x = 23.77 cm. A third charge is placed at x = a such that the net force it experiences due to q1 and q2 is zero. What is the value of a in cm? Express your answers accurate to two decimal places.
- Two small charged spheres are placed in vacuum on the x-axis: q1 = +5.0 µC at x= 0 andq2 = −8.0 µC at x= 50 cm. A third charge is placed at x= a cm such that the net force itexperiences due to q1 and q2 is zero. What is the value of a?Draw a sketch of the problem and label appropriately.A line of positive charge is formed into a semicircle of radius R = 25 cm, as shown in figure. The charge per unit length along the semicircle is described by the expression A = Xo cos 0. The total charge on the semicircle is 10 µC. R. Find the value of constant Ao. 10 μC/m 8 µC/m 75 uCGTwo small charged spheres are placed in vacuum on the x-axis: q, = +5.0 µC at x = 0 and q2 = -8.0 µC at x = 50 cm. A third charge is placed at x = a cm such that the net force it | experiences due to q, and q2 is zero. What is the value of a? Draw a sketch of the problem and label appropriately.
- Charge of a uniform density (9 pC/m²) is distributed over the entire xy plane. A charge of uniform density (6 pC/m²) is distributed over the parallel plane defined by z = 2.0 m. Determine the magnitude of the electric field for any point with z = 3.0 m. %D A. 0.8475 N/C B. 0.1695 N/C C. 1.695 N/C D. 0.339 N/C E. 0.4237 N/C5. A charge, q, = 7.98 µC, is at the %3D origin as shown in the figure below, and a second charge, q2 = -5.99 µC, is on the x-axis, 0.300 m from the origin. What is the magnitude of the electric field E at a point P, which has coordinates of (0, 0.400) m? * y E, E P- E, 0.400 m 0.500 m 0.300 m 92 O A. 2.71 x 105 N/C B. 3.05 x 105 N/C C. 5.42 x 105 N/C O D. 8.99 x 105 N/CA point charge of 20 nC is placed at the center of a hollow spherical conductor (inner radius = 1.0 cm, outer radius = 4 cm) which has a net charge of -90 nC. Determine the resulting charge density on the outer surface of the conducting sphere. A. -3483 nC/m? B. -5474 nC/m² C. 3483 nC/m? D. 5474 nC/m? E. -55732 nC/m?
- A 5 cm radius ball is charged to 190 nC. The charge is uniformly distributed throughout the volume of the ball. a. What is the charge density for this ball? ANS. 3.628733×10-4 C/m^3 b. How much charge is enclosed by a sphere of radius 1 cm concentric with the ball??Two small charged spheres are placed in vacuum on the x-axis: q1 = +2.06 μC at x = 0 and q2 = -9.24 μCat x = 26.25 cm. A third charge is placed at x = a such that the net force it experiences due to q1 and q2 iszero. What is the value of a in cm? Express your answers accurate to two decimal places. Draw a sketch ofthe problem and label appropriately.ROBLEM 1: Two small charged spheres are placed in vacuum on the x-axis: Q1= +5.0 µC at x= 0 and Q2 = -8.0 µC at x = 50 cm. A third charge is placed at x = b cm such that the net force it experiences due to Q1, and Q2 is zero. What is the value of b? Draw a sketch of the problem and label appropriately.