Determine the second moment of area for the shaded region shown in Fig. with respect to The x-axis.
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- Suppose Q1 = 4.0 nC and Q2 = 9.0 nC (Figure 1). You may want to review (Pages 631 - 635). Figure + Q₁ 10 cm 5.0 cm Q₂ y 1 of 1 X Part A What is the strength of the electric field at the position indicated by the dot in (Figure 1)? Express your answer with the appropriate units. E = Part B Value 0 = Units What is the direction of the electric field at the position indicated by the dot in (Figure 1)? Specify the direction as an angle measured counterclockwise from the positive x axis.Need Help9) 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) 21
- Given vec(F) = (:0, 0,x:), Radius outward(upward) flux across the upper half of the sphere. b. How will this value change if we calculate the outward(downward) flux across the lower half of the sphere? = 5 a. Calculate theQUESTION 4 Given that D = 30eaμ- 22 a₂ C/m² in cylindrical coordinates, find the outward flux crossing the right circular cylinder described by r = 2b, z = 0,= 5b. Ans. 129b² CElectric charges, Q1 = 0 C, Q2 = 4 C, and Q3 = -5 C, are shown in the figure, as well as 5 surfaces, S1 through S5. Part (A) Write an expression for the electric flux Φ1 through S1. Part (B) Write an expression for the electric flux Φ2 through S2. Part (C) Write an expression for the electric flux Φ3 through S3. Part (D) Determine the electric flux Φ4 through S4. Part (E) Write an expression for the electric flux Φ5 through S5.
- The coordinate in a XY plane for the charges are: -One positive charge of +1nC at the origen. -One positive charge of +1nC at 1.5m in the Y-axis -One negative charge of -1nC at 1.5m in the X-axis -Electric field sensor at ( 1.5m, 1.5m) in the X and Y axis Find the electric fiel at the sensor ( yellow button)Calc 3 - Stokes parts a and bA 4.0 cm x 4.5 cm rectangle lies in the IZ-plane. Part A What is the magnitude of the electric flux through the rectangle if E = (150i – 250j) N/C? de = N- m2/C Submit Request Answer Part B What is the magnitude of the electric flux through the rectangle if E = (150î - 250k) N/C? N.m²/C Submit Request Answer
- Question 1 Four stationary electric charges produce an electric field in space. The electric field depends on the magnitude of the test charge used to trace the field O has different magnitudes but same direction everywhere in space is constant everywhere in space has different magnitude and different directions everywhere in space CANADA vector field is given by F = y'e*i - x*yj - xtan-'yk use the divergence (Gauss") theorem, to calculate the flux of F through the surface S of the solid D bounded by the circular Cylinder x? + y? = 4, and the planes z = 0 and z = 3. z-3 %3DConsider the following situation. A positive charge q is located a distance R from a charged wire bent into a circular arc as drawn. The arc has radius R, a net positive charge Q, and an angular extent of 30° (T/6 radians) centered on the same axis as q. 15° a. Calculate the electric field (vector) the arc of wire produces at q's location. Give the vector in component form. The vector only has one component. You should write down in words an argument using the problem's symmetry for this. b. Find the net force (vector) on q by the arc of wire. Give the vector in component form. c. Compare this force to the force produced by a positive point charge Q located a distance R away from q. Which force is greater, (b) or (c), and by what fraction? Show this algebraically.