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- 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.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?Add a fourth charged particle, particle 3, with positive charge q3, fixed in the yz-plane at (0,d2,d2). What is the net force F on particle 0 due solely to this charge? Express your answer (a vector) using k q0, q3, d2, i^, j^, and k^. Include only the force caused by particle 3.
- 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.Examine the summary on page 780. Why are conductors and charged sources with linear symmetry, spherical symmetry, and planar symmetry categorized as special cases rather than major concepts or underlying principles?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.
- Long line is carrying a uniform charge density λ=9μC/m that is 20.0 cm above a large surface with uniform charge density σ=2.3mC/m2. At what perpendicular distances s (in cm) from the line charge would an α particle (moving parallel to the line) feel no force?The charge per unit length on the thin rod shown below is λ.λ. What is the electric force on the point charge q? Solve this problem by first considering the electric force dF⃗ dF→ on q due to a small segment dxdx of the rod, which contains charge λdx.λdx. Then, find the net force by integrating dF⃗ dF→ over the length of the rod.Consider three charges X, Y and Z, with the same charge magnitude Q. A closed surface S encloses the three charges, and the net flux through S is inward. If Z is positively charged, which of the following is correct? A. X = Y = +Q B. X = +Q; Y = -Q C. X = -Q; Y = +Q D. X = Y = -Q
- A thin, long rod of length 13.0 m lies along the x axis with its center at the origin. The total charge on the rod is −145 µC. (a) What is the net electric field at the location (0, 40.5 m)? (Express your answer in vector form.) (b) To see how the value of the electric field changes if y ≫ L, determine the net electric field at the location (0, 405 m). (Express your answer in vector form.)Three equal charges are located at the vertices of a right isosceles triangle as shown below. What is the magnitude and direction of the resultant electric field at the midpoint M of BC?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.