Find the electric field vector E(0, y,0) created by charges q at (-a, 0, 0) and -q at (а, 0,0).
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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 (inº) does Earc = 0.75Epart? (Hint: You will probably resort to a graphical solution.) +Q ||▬▬R—-| Number i P (a) ! +Q{{0/2 VR 8/24 (b) Units O (degreeA charge particle moving at vo enters the region between two parallel plates with charge densities of magnitude o (Figure). Calculate (a) the magnitude of the electric field E between the plates, (b) the magnitude of the electric force F. acting on the charged particle, and (c) the acceleration a of the particle. (d) Find the y-displacement 4y of the charged particle when it reaches the far edge of the plates, a horizontal distance d from where it entered. Assume that the charged particle does not hit either of the plates, and that upward is positive y-direction. E F. 4y Charge #: particle Vo a m/s nC/m? cm N/C m/s? m 10 electron 2.50x10 3.50 2.00 ++ + d- X= 0Particle A of charge 3.09 *10-4 C is at the origin, particle B of charge -5.40 *10-4 C is at (4.00 m, 0), and particle C of charge 1.01 *10-4 C is at (0, 3.00 m). We wish to find the net electric force on C. (a) What is the x component of the electric force exerted by A on C? (b) What is the y component of the force exerted by A on C?
- Draw the electric field for a system of three particles of charges +1 µC, +2 µC, and -3 µC fixed at the corners of an equilateral triangle of side 2 cm.Six negative charges and two positive charges, all of equal magnitude Q, are arranged as shown in the Fig. A. The radius of the circle is r. The magnitude of the electric field generated by a single charge Qis, E = 150 N/C at the origin. (a) What is the magnitude of the net electric field at the origin O. (b) What is the direction of the net electric field? Choose from the arrows shown in Fig. B. -Q D* 0 Fig. B -Q' Fig. A Your Answer: (a) Magnitude: (b) Direction: (Choose from the arrow).Consider a system of two positive charges placed along the x-axis. Charge 91 is placed at the origin, and 92 is located a distance 3r from 91. If |91| = 492, determine the magnitude of the net electric field at a point p, located a distance 2r from 91. (Put the numerical value without the units). Use k = 9 x 10°Nm²/C².
- A charge distribution creates the following electric field throughout all space: E(r, 0, q) = (3/r) (r hat) + 2 sin cos sin 0(theta hat) + sin cos p (phi hat). Given this electric field, calculate the charge density at location (r, 0, p) = (ab.c).Consider two charges q1=−40e and q2=−48e at positions (48,−46,29) and (32/√3, −10/√2 ,21) respectively where all the coordinates are measured in the scale of 10-9 m or nano meters. If position vector of the charge q1 is r⃗ 1 and charge q2 is r⃗ 2. Now consider another charge q3=−47e is in the xyz system positioned at (−41/√3, 42/√2, 35). Calculate the net force acting on q1 and q2. c) Net Force on q1 due to other charges x component of the force y component of the force z component of the force d) Net Force on q2 due to other charges x component of the force y component of the force z component of the forceGiven the two charged particles shown in the figure below, find the electric field at the origin. (Let 91 1049001 + 129100j N/C ↑E = 4 92 2 y (cm) 4 № -2 HP 4 2 91 x (cm) = : -26.00 nC and 92 = 4.00 nC. Express your answer in vector form.)
- A disc, shaped like a quarter circular arc with inner radius a and outer radius b, carries a surface charge density given by σ(θ) = αcosθ where θ is the angle to the x-axis in cylindrical coordinates and α a positive constant. Determine the total charge carried by the diskConsider a system of two charges where the first charge is on the positive x-axis and the second charge is on the positive y-axis. If these two charges produce electric fields at the origin given by (2.61, 0) N/C and (0, -2.61) N/C, respectively, determine the following. (a) the magnitude of the resultant electric field at the origin, measured counterclockwise from the positive x-axis N/C (b) the direction of the resultant electric field at the origin, measured counterclockwise from the positive x-axis ° counterclockwise from the +x-axis (c) What would be the magnitude of the force on a 1.34 x 10-⁹ C charge placed at the origin? N(a) Three point charges are located on the circumference of a circle of radius r, at the angles shown in the figure. 9 E = 270° 150° 30° -x -2q What is the electric field at the center of the circle due to these point charges? (Express your answer in vector form. Use the following as necessary: k, 9₁ and r.)