Problem 18.05. An electroscope is a device with two conducting spheres of mass M = 10.0 kg attached to strings of equal length L 10.0 cm at the same point. Find the magnitude of the charge Q on an electroscope if the strings make an angle = 30° from the normal = (uontigal)
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- Two particles with charges q1 and q2 are separated by a distance d, and each exerts an electric force on the other with magnitude FE. a. In terms of these quantities, what separation distance would cause the magnitude of the electric force to be halved? b. In terms of these quantities, what separation distance would cause the magnitude of the electric force to be doubled?Charges A, B, and C are arranged in the xy plane with qA = 5.60 C, qB = 4.00 C, and qC = 2.30 /C (Fig. P23.43). What are the magnitude and direction of the electrostatic force on charge B? Figure P23.43A horizontal wire 3m long has a nonuniform charge per unit length, i.e. = + (0.6x) C/m where x is the distance measured from the left end of the wire. A point P is 1m to the right of the right end of the wire. Find the magnitude and direction of the force experienced by the electron placed at the point P.
- You have 3 charges, each with magnitude 78 μC. One charge sits at (x,y)=(0,0) one at (x,y)=(0.9,0), and one at (x,y)=(0,0.9). All distances are in metres. Find the net force on charge 78 μC that is placed at (x,y)=(0.9,0.9) Number İ+ Number j N. Find the net force on a charge 78 μC that sits at (x,y)= (0,6.8) Number i + Number j N.Say you have a positively charged rod A of length L = 112 m (m stands for meter). Charge density of the rod is XA = 3.0 × 10-² C/m. (See figure 2(a). Figure is not drawn to scale.) Use the coulomb constant k = 8.987 × 10º N · m2 /C² and magnitude of charge of one electron e= 1.6 × 10-19 C. Give your answer up to two significant places. d. L A B Fig. 2(b). Fig. 2(a) (a) Find the Electric Field at point O which is located at distancer= 1.5 cm from rod A. (cm stands for centimeter or 10 2 m). The distance vector makes an angle of 90° with the rod. (See figure 2(a). Figure is not drawn to scale). (b) If there is another negatively charged rod B, which is distance d = 3.0 cm from rod A. Then find the net electric field due to rod A and rod B at point O. Assume that both rods have uniform charge density of equal magnitude but of opposite signs. (See figure 2(b). Figure is not drawn to scale). (d) Given the separation between the +q and -q charge is s = 25.0 µm (where um stands for…Two identical conducting spheres each having a radius of 0.500 cm are connected by a light 2.00-m-long conducting wire. Determine the tension in the wire if 30.0 µC is placed on one of the conductors. (Hint: Assume that the surface distribution of charge on each sphere is uniform.)
- Two point charges q, and q, are 2.75 m apart, and their total charge is 17 µC. Note that you may need to solve a quadratic equation to reach your answer. (a) If the force of repulsion between them is 0.071 N, what are the two charges (in µC)? smaller value 0.00001664 X µC larger value 0.00000036 X µC (b) If one charge attracts the other with a force of 0.414 N, what are the two charges (in µC)? smaller value -0.0000168 X µC larger value 0.0000002 X µC Two point charges q, and q, are 2.75 m apart, and their total charge is 17 µC. Note that you may need to solve a quadratic equation to reach your answer. (a) If the force of repulsion between them is 0.071 N, what are the two charges (in µC)? smaller value 0.36 X µC larger value 16.64 X µC (b) If one charge attracts the other with a force of 0.414 N, what are the two charges (in µC)? smaller value 0.2 X µC larger value -16.8 X µCIn deep space, two spheres each of radius 5.00 m are connected by a 3.00 x 102 m nonconducting cord. If a uniformly distributed charge of 35.0 mC resides on the surface of each sphere, calculate the tension in the cord.Two point charges q, and q, are 2.75 m apart, and their total charge is 17 µC. Note that you may need to solve a quadratic equation to reach your answer. (a) If the force of repulsion between them is 0.071 N, what are the two charges (in µC)? smaller value 0.00001664 X µC larger value 0.00000036 X µC (b) If one charge attracts the other with a force of 0.414 N, what are the two charges (in µC)? smaller value |-0.0000168 X µC larger value 0.0000002 X µC
- A hollow conducting sphere with inner radius a=1.0m and outer radius b=2.0m is shown in figure (Figure 1). Say a charge q=7.0nC is placed at the center of the sphere denoted by O. Here m denotes meter and 1nC denotes one nano coulomb or 1×10−9C. coulomb constant is k=8.987×109N⋅m2/C2. and r is the distance from the center. (a) Potential at r=a+b2 is, V=?volt Potential Give your answer up to at least three significance digits. (b) Electric Field at r=a+b2 is E(r)=?N/C Electric field Give your answer up to at least three significance digits (c) Magnitude of the electric Field at r=a2 is E(r)=?N/C Electric field Give your answer up to at least three significance digits.A 0.01294 kg ball with a positive charge of 47.4 μC hangs from a light string right next to a large vertical metal plate (the metal plate is so large compared to the length of the string and ball consider it to be infinite in size). How much surface charge density must the plate have to repel the ball so that the string makes and angle of 5.03 degrees from the vertical. Give your answer to 3 significant figures and in units of nC/m/m (nanoCoulombs per meter squared: Blackboard has trouble with squred units). Type in the units right after your numerical answer.You have 3 charges, each with magnitude 42 C. One charge sits at (x,y)=(0,0) one at (x,y)=(0.9,0), and one at (x,y)=(0,0.9). All distances are in metres. Find the net force on charge 42 µC that is placed at (x,y)=(0.9,0.9) Number 1+ Number IN Find the net force on a charge 42 µC that sits at (x,y)= (0,6.6) Number 1+ Number IN