Q14. A positive charge Q= 8 mC is placed inside the cavity of a neutral spherical conducting shell with an inner radius a and an outer radius b. Find the charges induced at the inner and outer surfaces of the shell. * Inner charge = +8 mC, Outer charge = -8 mC Inner charge = -8 mC, Outer charge +8 mC Inner charge 0 mC, Outer charge = 0 mC Inner charge 0 mC, Outer charge +8 mC Inner charge = -8 mC, Outer charge 0 mC
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- An irregular neutral conductor has a hollow cavity inside of it and is insulated from its surroundings. An excess charge of 22.0 nC is sprayed onto this conductor. a. Find the charge on the inner surface of the conductor. b. Find the charge on the outer surface of the conductor. c. Without touching the conductor, a charge of -15.0 nC is inserted into the cavity through a small hole in the conductor. Find the charge on the inner surface of the conductor in this case. d. Find the charge on the outer surface of the conductor in this case.B Q3 d₁ d₂ d3 d4 Three point charges Q₁ = -2.64 nC, Q2 = 3.24 nC and Q3 = 3.45 nC are shown in the figure. The distance in the figure are: d₁ = 1.10 cm, d₂ = 1.47 cm, d3 = 1.54 cm and d4 = 1.32 cm. The figure is not to scale. Use k=8.99 × 10⁹ Nm²/C². (a) If a proton is released from rest at point *B, how fast is it moving when it is very far away from the three charges? VC = (b) How fast would the proton need to be moving very far away from the three charges to reach *B with a speed of 9.78 x 105 m/s? VD= (c) If an electron is released from rest very far away from the three charges shown, how fast would it be moving at *B? VE = (d) How fast must an electron be moving at *B to come to rest very far away from the three charges? UF =In the figure two tiny conducting balls of identical mass m and identical charge q hang from nonconducting threads of length L. Assume that is so small that tan 0 can be replaced by its approximate equal, sin 8. If L = 140 cm, m = 10 g, and x = 6.0 cm, what is the magnitude of q? L ᏀᎾ Ꮎ Number i L 9 0.0000009165 Units nC
- A sphere with a radius of 1.5cm hangs by an insulating thread. The sphere is attracted to a positively charged rod held near the sphere. a) If the ball is made of an insulating material, what can you say about the charge on the sphere? Be specific and explain your answer. b) If the ball is made of an conducting material, what can you say about the charge on the sphere? Be specific and explain your answer.The figure below shows four small beads, each with a positive charge, at the corners of a square. The length of each side of the square is a. The bead at top-right has a charge of q; the one at lower-left has a charge of 8.0q; the other two each have a charge of 6.0g. (Assume that the +x-axis is to the right and the +y-axis is up along the page.) a 6.09 а 8.0g 6.0g a (a) What is the magnitude of the force on the bead with charge q? Express your answer in terms of k, q, and a in symbolic form. ka [12.485] F = a? What is the magnitude of the force due to each charge? (Be careful with distances.) What is the direction of each force? Using trigonometry, can you find the x- and y-components of each force? After finding the x- and y-components of the net force, how can you use them to find the magnitude of the net force? (b) What is the direction of the force on the bead with charge q? (Enter your answer in degrees counterclockwise from the +x-axis.) 45 ° counterclockwise from the +x-axisA charge of -8.5 μC is at x = 0 and a charge of -4.0 μC is at x = 6.0 cm. What is the electric field at x = 2.0 cm? Specify the direction with the sign of your answer. 1.7 x 108 V/m -2.9 x 106 V/m -2.1 x 108 V/m -1.7 x 108 V/m 2.1 x 108 V/m
- 1. A point charge q₁ –5 µC located at (x = 0, y = 0.4 m, z = 0) is moving with speed 9 × 10ª m/s. The charge q₁ is moving in the xy-plane, and its velocity ₁ makes a 45° angle with the y-axis as shown below. Another point charge 92 8 μC is located at (x = 0, y = 0, z = 0.3 m) and is moving with velocity 6.5 × 10-4 m/s in the +z-direction. = x - V₂ 92 Z V₁ 45° 91 y (a) What is the magnetic field produced by 9₁ at the location of 9₂? (b) What is the magnetic force exerted on 92 by 9₁?A conducting sphere of radius r1 = 0.18 m has a total charge of Q = 1.9 μC. A second uncharged conducting sphere of radius r2 = 0.46 m is then connected to the first by a thin conducting wire. The spheres are separated by a very large distance compared to their size.Randomized Variables r1 = 0.18 mr2 = 0.46 mQ = 1.9 μC What is the total charge on sphere two, Q2 in coulombs?You have a vertical polyethylene rod. It is 30 cm. It Carries a negative charge Q=-3μC which is distributed uniformly allong it's length. A 51 gram marble of glass Carriies a positive q= +0.44 μC charge . The marble hangs from the rod from a plastic string, 10 cm below the rod. What is the tension in the string?. a. 0.8N b. 0.5N c.0.3N d. 0.2N e. 0N
- 2.Please look at the sketch. While keeping the positively charged rod in place, you grab the plastic handle of the bigger sphere and separate it from smaller sphere. You test the charge in the bigger sphere. Which of the following statement is correct? plastic handle Metal spheres in charged contact insulator The bigger sphere has net negative charge The bigger sphere has net positive charge The bigger sphere has no net charge The bigger sphere has more net charge than the smaller sphere ++++++