Find the curl of the vector field, V=xi
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Find the curl of the vector field, V=xi
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- 9) Pictured below is an ellipse oriented counterclockwise and a vector field F[X] plotted around it. B examining the figure determine if the flows along the oriented path and across it are positive or nega- tive in total. a) The flow around is positive and the flow out is positive. b) The flow around is negative and the flow out is positive. c) The flow around is negative and the flow out is negative. d) The flow around is positive and the flow out is negative. e) There is not enough information to determine the answer. -3 -2 -1 1 2 3) 21Suppose three charges: q1 = 4.00 nC, q2 = - 4.00 nC, q3 = 2.40 nC are enclosed by five surfaces as shown below. S3 Og 92 S2 93 S5 S4 Give the electric flux through each surface. Input all numerical values in three significant figures. Do not forget to include the sign if the value is negative. N.m?/C $1: 01= N•m?/C S2: Ф2 N•m²/c S3: 03 = N•m?/C S4: 04- N•m?/c S5: 05 =1 Two charged particles are placed at corners of a rectangle as shown in the figure. Find the net electric field at point A. (k = 9.00 x 109 Nm2/C²) A Q₁ = 5 nC 47.4 x 10² N/C, 18.4° south of east 27.5 x 104 N/C, 12.5° north of east O27.5 x 104 N/C, 12.5° south of east 23.0 x 104 N/C, 12.5° north of east 18.4° north of east 47.4 x 102 N/C, 23.0 x 104 N/C, 12.5° south of east 2cm Q₂ = -10 nC 3 cm
- Question 3 A ring of radius a carries a uniformly distributed positive total charge Q as shown in Figure 2. dq dE dE dE Figure 2Need 100% correct answer. I will rate accordingly.EL3: For the given scenario, draw the electric field lines (not vector arrows, but lines). You may use the Charges and Fields PhET simulation as a resource. Include at least 10 field lines. Identify a location where the force on a positive charge would be up (north). ++ +
- Charges q and Q are placed on the x axis at x = 0 and x = 2.0 m, respectively. If q = - 40 pC and Q = +30 pC, determine the net flux through a spherical surface (radius = 1.0 m) centered on the origin in N?m2/C. Select one: a. - 8.5 b. - 1.1 c. - 6.8 d. - 4.5 e. - 9.62. A third charge, Q3, is added to the other two: Q3 F₁ 3 m Q2 = +3 μC Q1 = +6 μC 4 m A. The electric force on Q₁ is now acting to the upper left, at a 45° to the vertical (as shown above). Calculate the unknown charge Q3. B. Using your answer in part (A), determine the electric force acting on Q2. You may answer in vector component form (i.e. F2 = Fx, Fy) 45°3. A hollow, conducting sphere is initially uncharged. A positive charge, +9₁, is placed inside the sphere, as shown in the figure below. Then, a second positive charge, +q2, is placed near the sphere but outside it. Which of the following statements describes the net electric force on each charge? +9₂ A. There is a net electric force on +91 but not on +92. B. Both charges are acted on by a net electric force with the same magnitude and in the same direction. C. Both charges are acted on by a net electric force with the same magnitude but in opposite directions. D. There is a net electric force on +q2 but not on +9₁.
- A solid spherical conductor has charge + Q. Determine where this charge is located on the sphere. a. -Q in the center of the sphere and + 2Q in the surface of the sphere b. + Q evenly distributed across the dial c. + Q in the center of the sphere d. + Q evenly distributed on the surface of the sphere2. A cube of side 8.50 cm is placed in a uniform field E = 7.5 x 103 N/C with edges parallel to the field lines. (a) What is the net flux through the cube? (b) What is the flux through each of its six faces? 2INSTRUCTIONS: 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 6.0x10² N must be expressed to 60×10³N 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 =…