4. A source is located at (x,y) = (-3,+2) next to a corner as shown. y=...
To create a vertical wall along the y-axis, one can superimpose two source flows of equal strength Q, centered about the origin on the x-axis at (-x0,0) and (x0,0). Given these two source flows: Determine the potential for this flow field in cartesian coordinates. Determine the streamfunction for this flow field in cartesian coordinates. What value of y corresponds to the wall? Determine functions for the cartesian velocities (u,v) along the wall and show that there is no normal (i.e.,...
6.102 The flow field for a plane source at a distance h above an infinite wall aligned along the x axis is given by 20[x2 + y - 12|xi +(y-hil 9 2;[xi + (y + hil * 29x2 + (y + h) 21 where q is the strength of the source. The flow is irrotational and incompressible. Derive the stream function and velocity potential. By choosing suitable values for 4 and h, plot the streamlines and lines of constant velocity...
A point charge of 2 uC is located at the origin of an x-y coordinate system, while a second point charge of 4uC is located at x=10cm. Calculate the magnitude and direction of the electric field vector at a point located at y = 20 cm along the y axis
Three infinite straight wires are fixed in place and aligned parallel to the z-axis as shown. The wire at (x,y) = (-17 cm, 0) carries current I1 = 3.9 A in the negative z-direction. The wire at (x,y) = (17 cm, 0) carries current I2 = 1.2 A in the positive z-direction. The wire at (x,y) = (0, 29.4 cm) carries current I3 = 6.9 A in the positive z-direction.What is Bx(0,0), the x-component of the magnetic field produced by...
Problem 1 Charge Configuration Three charges are configured as shown. A 3.0 nC charge is located at the origin. A -5.0 nC charge is located at a point on the y axis 0.1 m from the origin. The third charge of 4 nC is located on the x axis at a distance of 0.3 m from the origin. a) What is the magnitude and direction of the electric field at the origin? b) What is the magnitude and direction of the force on...
We want to find the magnetic field at one corner of a square; the field is produced by currents that are located at the other three corners of the square. (See drawing.) The square is in the x-y plane and the currents are flowing parallel to the z axis. We define a positive current as one flowing in the + k direction. 13 The first current, of 7.15 A, is located 3.03 cm along the x axis, that is, at...
Three infinite straight wires are fixed in place and aligned parallel to the z-axis as shown. The wire at (x,y) = (-22 cm, 0) carries current I1 = 3.1 A in the negative z-direction. The wire at (x,y) = (22 cm, 0) carries current I2 = 0.7 A in the positive z-direction. The wire at (x,y) = (0, 38.1 cm) carries current I3 = 6.3 A in the positive z-direction. 1. What is Bx(0,0), the x-component of the magnetic field...
Two charges are located in the x–y plane. If q1 = -2.90 nC and is located at x = 0.00 m, y = 1.000 m and the second charge has magnitude of q2 = 3.40 nC and is located at x = 1.40 m, y = 0.600 m, calculate the x and y components, Ex and Ey, of the electric field, , in component form at the origin, (0,0). The Coulomb Force constant is 1/(4π ε0) = 8.99 × 109...
Two charges are located in the x-y plane. If qi =-4.55 nC and is located at (x = 0.00 m,y = 0.960 m), and the second charge has magnitude of 92 4.80 nC and is located at (x 1.50 m, y = 0.800 m, calculate the x and y components, E, and Ey, of the electric field, E, in component form at the origin, (0,0). The Coulomb force constant is 1(4Teo) 8.99 x 10 N m2/C2 N/C
Two charges are located in the x-y plane. If q-3.65 nC and is located at (x0.00 m, y 0.760 m), and the second charge has magnitude of g2 4.60 nC and is located at (x - 1.00 m, y - 0450 m). calculate the x and y components, E and Ey, of the electric field, E, in component form at the origin, (0,0). The Coulomb force constant is 1/K4xco) 8.99 x 10° N m2/c2 Ex N/C Ey N/C