A uniformly charged thin ring has radius 15.0 cm and total charge 22.5 nC. An electron is placed on the ring's axis a distance 30.0 cm from the center of the ring and is constrained to stay on the axis of the ring. The electron is then released from rest. For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of A ring of charge.
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- 4NoneTwo identical balls of 29.5 g are suspended from threads of length 1.1 m and carry equal charges as shown in the figure. Each ball is 1.5 cm from the centerline.a) Assume that the angle Θ is so small that its tangent can be replaced by its sine. This is called the small angle approximation and means that for small angles sin(Θ)=tan(Θ). Find the magnitude of charge on one of the balls. b) Now, assume the two balls are losing charge to the air very slowly. That means they'll be slowly approaching each other. If a ball is moving at an instantaneous speed of 2.50E−05 m/s, at what rate is the ball losing charge? Start by writing the speed of the ball and the rate of change of the charge as symbolic derivatives, and then relate those derivatives. Give your answer in Coulombs per second (C/s). Note that because the balls are losing charge so slowly, we can still use our results from the previous part, as the system is almost in equilibrium. Give your answer as a magnitude.
- A uniformly charged thin ring has radius 15.0 cm and total charge 20.0 nC. An electron is placed on the ring's axis a distance 30.0 cm from the center of the ring and is constrained to stay on the axis of the ring. The electron is then released from rest. For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of A ring of charge. ▶ Part A Part B Find the speed of the electron when it reaches the center of the ring. Express your answer in meters per second. VE ΑΣΦ V= Submit Provide Feedback Request Answer Constants ? m/s Next >Consider the following. B 0.500 mm 60.0° (a) Red blood cells often become charged and can be treated as point charges. Healthy red blood cells are negatively charged, but unhealthy cells (due to the presence a bacteria, for example) can become positively charged. In the figure, three red blood cells are oriented such that they are located on the corners of an equilateral triangle. The red blood cell charges are A = 1.80 pC, B = 6.60 pC, and C = -4.40 pC. Given these charges, what would the magnitude and direction of the electric field be at cell A? magnitude N/C direction ° counterclockwise from the +x axis (b) If the charge of cell A were doubled, how would the electric field at cell A change? O The magnitude of the field would be doubled. O The field would be unchanged. O The magnitude of the field would be halved. O The magnitude of the field would be quadrupled.A solid metallic sphere with a radius of rA - 5.00 cm is located inside a hollowed metallic sphere (radii B = 8.00 cm and rc = 12.0 cm); the spheres are concentric with each other and they are electrically insulated from each other. The inner sphere has a charge of-45.0 μC while the hollowed sphere has a charge of +80.0 μC.. What is the surface charge density on the outer surface (the one with rc = 12.0 cm)? To +691 μC/m² + 193 μC/m² -663 μC/m² +4427C/m² - 249 μC/m² W
- I need help with this question. Thank you!A solid core carrying excess charge, Q = 47.6 μC, is located at the center of concentric spherical shells. The two spheres are joined by a hollow plastic tube that starts at the radius of the small sphere, r = 13.5 cm, and ends at the radius of the large one, R = 29.7 cm. When a charge, q = 7.8 μC, is placed at the inner end of the tube and released from rest, it accelerates straight through the tube and out the other end as shown. AUE= (a) How much did the electric potential energy change as the particle moved from one end of the tube to the other? Write your answer symbolically, in terms of Q, q, r, R and constants (as needed), then calculate its numeric value. kao ( + - 1/2 ) R = 13.5 J R x J (b) How much electric potential energy will be left when the little charge is 56.7 cm from the core? UE = 5.89 OThe surface charge density (eta) h of an infinite charged plane is -2.0 x 10-6 C/m2. A proton is shot straight away from the plane at 2.0 x 106 m/s. Make a sketch of the situation. How far does the proton travel before reaching its turning point?
- Two identical metal blocks resting on a smooth horizontal surface are connected by a lightweight spring having a spring constant k = 0.2 N/m, as shown in the figure. The length of the spring before it is stretched is L0 = 10 cm. A total charge Q is carefully applied to the block, which is assumed to be a point charge. Because the blocks are given an electric charge, the spring is stretched so that its length becomes L = 10.2 cm. Find Q!A 8-g charged plastic sphere charged to 75 µC is on top of a plastic spring with spring constant k = 400 N/m, which has a relaxed length of 10 cm. You then place another charged object 1 cm above (not touching) the sphere. Now, the spring is 9.5 cm long. Find the charge on the new second object.Three charges are arranged along the x-axis. Two of the charges locations are known. Q1 = 4 nC and is located at the origin. Q2 = -8 nC is located 6 cm to the left of the origin. The third charge, Q3 is in equilibrium. (a) What is the location of Q3? (b) Does the charge of Q3 matter when determining its location? Explain.