The figure shows three circular arcs centered at the origin of a coordinate system. On each arc, the uniformly distributed charge is given in terms of Q = 3.97 µC. The radii are given in terms of R = 8.31 cm. What are the (a) magnitude and (b) direction (relative to the positive x direction) of the net electric field at the origin due to the arcs?
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- A thin rod of length L has a charge +Q with a constant linear charge density l placed 2 meters away from the origin along the -x axis. An identical rod with the same charge, length, and charge density is placed on the positive y axis 1 meter away from the origin. (a) What is the magnitude of the electric field at the origin? (b) What is the angle between the electric field vector and positive x axis? (c) If there were a point charge at the origin with charge q = -5 C what is the net force vector on this charge in Cartesian components? +Q +Q L.In the figure an electron (e) is to be released from rest on the central axis of a uniformly charged disk of radius R. The surface charge density on the disk is +4.12 µC/m?. What is the magnitude of the electron's initial acceleration - m/s² if it is released at a distance R/148 from the center of the disk? 10. e (a) 3.07x1015 (b) 2.08x1015 (c) 4.52x1015 (d) 5.16x1015 (e) None of the aboveThe electric field in an xy plane produced by a positively charged particle is 8.29(5.9 i + 5.3 Ĵĵ) N/C at the point (4.2, 4.0) cm and 100 î N/C at the point (4.6, 0) cm. What are the (a) x and (b) y coordinates of the particle? (c) What is the charge of the particle? (a) Number i Units (b) Number i Units (c) Number i Units
- A hollow sphere with a radius of 1.50 m has positive charge q uniformly distributed on its surface. At a point that is 0.6 m from outside from the surface of the sphere, the magnitude of the electric field is 40.0 N/C. What is the magnitude of the electric field at a point inside the sphere, at a distance of 0.7m from the center of the sphere?Two spherical shells have a common center. A-2.50 x 106 C charge is spread uniformly over the inner shell, which has a radius of 0.050 m. A +4.00 x 106 C charge is spread uniformly over the outer shell, which has a radius of 0.15 m. Find the magnitude and direction of the electric field at a distance (measured from the common center) of (a) 0.20 m, E= i (b) 0.10 m, E = i (c) 0.025 m. E = iA uniform line of charge has length L=55 cm and total charge Q=7.0 μC. What is the magnitude of the electric field as distance d=40 cm above the end and perpendicular to the line of charge?
- In the figure, the point charges are located at the corners of an equilateral triangle 28 cm on a side. Part (a) Find the magnitude of the electric field in N/C at the location of qa, given that qb = 10.2 μC and qc = –5.2 μC . Part (b) Find the direction of the electric field at qa in degrees above the negative x-axis with origin at qa. Part (c) What is the magnitude of the force in N on qa, given that qa = 1.7 nC? Part (d) What is the direction of the force on qa in degrees above the negative x-axis with origin at qa?Two charges are placed on the x axis. One of the charges (q1 =+5.26 µC) is at x1 = +3.00 cm and the other (q2 = - 21.0 µC) is at x2 = +9.00 cm. Find the net electric field (magnitude and direction given as a plus or minus sign) at (a) x = 0 cm and (b) x = +6.00 cm. %3D (a) Number i Units (b) Number i UnitsA negative 17 nC charge is at the origin and a charge of 6 nC is located at 0.3 m and 1.1 m. A point P is situated at x and y . What is the magnitude of the resultant electric field intensity point P due to the two charges?
- A homogeneous pulley with two grooves consists of two wheels which turn together as one around the same axis. The moment of inertia of the two wheels together is ICM = 40 kg m2. The radii are: R1 = 1.2 m and R2 = 0.4 m. The masses that hang on both sides of the pulley are m1 = 36 kg and m2 = 12 kg. We will assume that the masses of the ropes are negligible. Determine the angular acceleration of the pulley, acceleration of the masses, and the tensions of the ropes.A uniformly charged rod (length 5 m, charge per unit length +2 nC/m) is bent to form 1/6 of a circle. What is the magnitude of the electric field at the center of the circular arc (the origin)?5.10 nC of charge is uniformly distributed along a thin rod of length L = 2.00 cm as shown in the figure. What is the magnitude of the electric field at point P, a distance r = 7.90 cm from the centre of the rod?