145⁰ I I 2m, q E 5) A point charge with known mass 2m and unknown positive charge q is suspended on a massless string in a uniform horizontal field of known magnitude E. The string makes a stationary angle = 45° with the vertical. What is a correct expression for the charge q? (HINT: draw a free-body diagram.)
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- Q5. Consider three charges arranged as shown in the figure. 91 y Ө R 94 92 The values of the charges are q₁ = e; q2 = 2 e and q4 = -2 e. The charge qi is at a distance R=0.02 m from charge q2 and the 94 lies on a line that makes an angle = 60 ° with the x axis. (i) Determine the magnitude and angle of the net electrostatic force F1,net on qı due to q2 and 94.16. Two point charges qA = +10.0 µC and qB = -40.0 µC and a third particle with unknown charge qC are located on the x axis. The particle qA is at the origin, and qB is at x = 12.0 cm. The third particle is to be placed so that each particle is in equilibrium under the action of the electric forces exerted by the other two particles. a) The diagrams below show a positively charged qC in each of the three possible locations with respect to qA and qB. Draw and label vectors (for example, -->F AB) showing the directions of the forces on all three particles, and circle any of the diagrams in which there are opposing forces on all three charges.Below is a depiction of one type of adjustable dial. This dial is essentially a thin rod with a charged sphere on the end, seated inside an electric field. The sphere between these plates has a charge of −2.3 µC and the thin rod can be approximated as a string with tension 0.350 N, at an angle of 15° as shown below. a) What is the mass of the charged ball? g b) What is the magnitude of the electric field between the plates?N/C
- = 32.2 nC. The figure below shows a small, hollow, plastic sphere hanging vertically from a thin, lightweight thread. The sphere has a mass of 7.10 g and a uniformly distributed charge of 91 Directly below it is a second sphere with the same mass, but a charge of 92 = -58.0 nC. (Assume this second sphere is fixed in place.) The centers of the two plastic spheres are a distance d = 2.00 cm apart. 91 92 (a) What is the tension (in N) in the thread? 0.11154376 N (b) The thread will break if the tension in it exceeds 0.180 N. What is the smallest possible value of d (in cm) before the thread breaks? The analysis is the same as in part (a), including the magnitude and direction of the gravitational and electric forces. Note that Coulomb's law depends on the square of the distance d. Use the threshold value of the tension to solve for d. cm= A particle with charge 9₁ = +4.7 μC is located at (x=0,y=0). A second particle with charge 92 is located at (x=0,y=4.00 cm), and a third charge 93 = +5.4 µC is located at (x=3.00 cm,y=0). (a) In your notebook, draw a diagram of the three-charge system showing the location of the charges. (b) Calculate the potential energy of this three-charge system. PE = J -8 μC4
- 5. In below figure, a small, non-conductor ball of mass m =3.0 mg and charge q = 9.0 µC hangs from an insulating thread that makes an angle e charged non- conductor plane. Considering the gravitational force on the ball and assuming the plane extends far vertically and into and out of the page, calculate the area charge density of the plane. Length of string is 120.0 cm. 30° with a vertical, uniformly lo120cm + Jplone1. Figure below shows an arrangement of four charged particles with 0 = 30.0°and the distance d= 2.00 cm. Particle 2 has charge q2 =+ 8.00x10 -19C; particle 3 and 4 have charges q3=q4=- 1.60 x 10 -19 C. y (a) What is distance D between the origin and particle 2 if the net electrostatic force on particle 1 due to the other particles is zero? (b) If particles 3 and 4 were moved closer to the x axis but maintained their symmetry about that axis, would the required value of D be greater than, less than, or same as part (a)? d D 2 1 430.0cm, 50.0cm, 80.0cm, 1.00m and 1.2m. Plot the force as a function of d. AND MEC Calculate the Coulomb force experienced by charge q2 due to charge qi for d = 10.0cm, Q. 1 Two-point charges qi(4.0µC) and q2(3.0µC) are placed a distance d apart in vacuum. POUNDED NORMAL UNIVERSITY Department of Physics PHY214 0Υ Test-1 September 20, 2021 Name: AsPa Callens A#: Ao0522oldo Show your work q2 q1