Charges q1, q2 and q3 are arranged in the x-axis. Charge q3 = 14 nC and is at the origin. Charge q2 = -2.0 nC and is at x = 6 cm. Charge q1 is at x =7 cm. Solve for q1 (magnitude and sign) if the net force on q3 is zero. Express your answer in nC.
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- Two particles, each with charge Q = 5 C, and a third particle, with charge q = 2 C, are placed at the vertices of an equilateral triangle as shown. a. What is the direction of total force on the particle with charge q? and, b. What is the magnitude of the total force?Particle 1 carrying -4.0 μCμC of charge is fixed at the origin of an xyxy coordinate system, particle 2 carrying +6.0 μCμC of charge is located on the xx axis at xxx = 4.0 mm , and particle 3, identical to particle 2, is located on the xx axis at xx = -4.0 mm . What is the vector sum of the electric forces exerted on particle 3? Determine the xx and yy components of the vector sum. Express your answers separated by a comma.homework 1, Q4 Two point charges lie on the x axis. Acharge of +9.0 mC is at the origin, and a charge of -5.3 mC is atx = 10 cm. (a) At what position x would a third charge q3 be inequilibrium? (b) Does your answer to part (a) depend on whetherq3 is positive or negative? Explain
- Consider a right triangle ABC with the right triangle at vertex B. The charges at A, at B, and at C, are known to be 5 mC, 4 mC, and 7 mC, respectively. Given that the side AB is 9 meters, and AC is thrice AB, find the magnitudes of the force and of the electric field at B.Consider a right triangle ABC with the right triangle at vertex B. The charges at A, at B, and at C, are known to be 5 mC, 4 mC, and 7 mC, respectively. Given that the side AB is numerically equal to 94 meters, and AC is thrice AB, find the magnitudes of the force and of the electric field at B.Three charges with q=7.5 micro C are located as shown in figure below,with L=25cm.(a)what are the magnitude and direction of the total electric force on the charge at the bottom?.(b)What are the magnitude and direction of the total electric force on the charge at the right?your reasoning.
- Consider the image below. There are five charges: Q1 = -30.2 x 10-12 C, Q2 = -9 x 10-12 C, Q3 = 27 x 10-12 C, Q4 = 3.9 x 10-12 C, Q5 = -16 x 10-12 C, Calculate the electric flux through the gaussian surface represented by the dashed line, in N m2 / C. Use ?0ε0 = 8.85 x 10-12 F/m. (Please answer to the fourth decimal place - i.e 14.3225)A thin rod of length ℓ and uniform charge per unit length λ lies along the x axis as shown. (a) Show that the electric field at P, a distance d from the rod along its perpendicular bisector, has no x component and is given by E = 2keλ sin θ0/d. (b) What If? Using your result to part (a), show that the field of a rod of infinite length is E = 2keλ/d.Consider a right triangle ABC with the right triangle at vertex B. The charges at A, at B, and at C, are known to be 5 mC, 4 mC, and 7 mC, respectively. Given that the side AB is 10 meters, and AC is thrice AB, find the magnitudes of the force and of the electric field at A.
- Twelve equal charges, q, are situated at the comers of a regular 12-sided polygon. What is the net force on a test charge Q at the center? (b) Suppose one of the 12 q's is removed. What is the force on Q? Explain your reasoning carefullyA thin rod of length ℓ and uniform charge per unit length λ lies along the x axis as shown in the figure below. (a) Show that the electric field at P, a distance d from the rod along its perpendicular bisector, has no x component and is given by E = 2keλsinθ0/d. (b) Using your result to part (a), show that the field of a rod of infinite length is E = 2keλ/d.Consider a right triangle ABC with the right triangle at vertex B. The charges at A, at B, and at C, are known to be 5 mC, 4 mC, and 7 mC, respectively. Given that the side AB is 89 meters, and AC is thrice AB, find the magnitudes of the force and of the electric field at C.