A uniformly charged rod of length 2L and linear charge density \ is parallel to the x-axis and centered at the origin. Find the x-component and z-component of the electric field at (x = 2L, y = 0, z = L). Express your answers in terms of 1 A 4περ L'
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- In Figure (a) below, a particle of charge +Q produces an electric field of magnitude Epart at point P, at distance R from the particle. In Figure (b), that same amount of charge is spread uniformly along a circular arc that has radius R and subtends an angle 8. The charge on the arc produces an electric field of magnitude Earc at its center of curvature P. For what value of 0 (in º) does Earc = 0.75Epart? (Hint: You will probably resort to a graphical solution.) +Q |▬▬▬R—-|| Number i P (a) AR +Q}/0/2/ (b) Units ° (degree:A charge Q = -10 nC sits at the center of a thick uncharged conducting spherical shell with inner radius R1 = 3.0 m and outer radius R2 = 4.0 m. Find the magnitude and direction of the electric field at a distance of (a) 2.0 m, (b) 3.5 m, and (c) 4.5 m away from the charge. R. R, 1.A square conducting plate 54.0 cm on a side and with no net charge is placed in a region, where there is a uniform electric field of 75.0 kN/C directed to the right and perpendicular to the plate. (a)Find the charge density (in nC/m2) on the surface of the right face of the plate. b)Find the charge density (in nC/m2) on the surface of the left face of the plate. (c)Find the magnitude (in nC) of the charge on either face of the plate.
- y 0| X The positive charge Q is evenly distributed on the y-axis between y = 0 and y = a. Find the y- component of the electric field vector at a distance x from the origin on the positive x-axis.Find the magnitude of the electric field for r>b(a) Determine the electric field strength at a point 1.00 cm to the left of the middle charge shown in the figure below. (Enter the magnitude of the electric field only.) Three charges lie along a horizontal line. A 6.00 µC positive charge is on the left. 3.00 cm to its right is a 1.50 µC positive charge. 2.00 cm to the right of the 1.50 µC charge is a −2.00 µC charge. N/C(b) If a charge of −2.10 µC is placed at this point, what are the magnitude and direction of the force on it? magnitude N direction
- A penny is in an external electric field of magnitude 2.5 kN/C directed perpendicular to its faces. (a) Find the charge density on each face of the penny, assuming the faces are planes. nc/m2 (b) If the radius of the penny is 1 cm, find the total charge on one face. pCOn the x-y plane, a point charge Q = –4.35E-6 C is placed at the origin (0.00 m, 0.00m). The electric field at (x,y) = (2.40 m, 3.20 m) is measured to be Q = Ex + Ey . What is the electric field's y componentEy (in N/C)?Show that for a charged circular ring of radius a and total charge Q, the electric field anywhere inside the plane of the ring would be zero if the electric field was inversely proportional to r not r2. Your answer is partly verbal and graphical.