5. If a = 3.0 mm, b = 4.0 mm, Qi = 60 nC, Q2 = 80 nC, and q= 24 nC in the figure, what is the magnitude of the electric %3D %3D force on q? Q1 90 Q2
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- A mass of 6 X 10-24 kg has a charge of 2|e| where e is the charge on an electron. a) What is its KE at 2% of the speed of light? b) What is this in eV? c) What is the voltage needed to obtain this energy?Two equally charged, 1.00 g spheres are placed with 4.00 cm between their centers. 2 When released, each begins to accelerate at 225 m/s . As the spheres move, do you expect the force between them to increase, decrease or remain the same? Use an equation to justify your reasoning. Calculate the spacing needed between the spheres that would cut the force between them in half.The two spherical shell has a charge of q1 = 0.30nC and q2 = 0.5nq. The radius of rq=7.5cm and r2 = 2.5cm. %3D What is the voltage of spherical shell in volts, with radius r2? 92
- 1. The magnitude of an electric field became 3.0 x 106 N/C or greater, so that electrical breakdown and thus sparking could occur. 2. The energy of a spark was 150 mJ or greater so that it could ignite the powder explosively. Let us check for the first condition in the powder flow through the plastic pipes. Suppose a stream of negatively charged powder was blown through a cylindrical pipe of radius R = 5.0 cm. Assume that the powder and its charge were spread uniformly through the pipe with a volume charge density p. a. Using Gauss' law, find an expression for the magnitude of the electric field E in the pipe as a function of radial distance r from the pipe center. b. Does E increase or decrease with increasing r? c. Is E directed radially inward or outward? d. For p = 1.1 x 10³ C/m³ (a typical value at the factory), find the maximum E and determine where that maximum field occurs. e. Could sparking occur, and if so, where? From the answer to part (a) of the problem, f. Find an…3. Two small aluminium spheres weighing 10 g each are suspended by 10-cm-long silk threads from two hooks separated 10 cm apart. When the spheres are uncharged, the silk threads are vertical due to the gravitational pull of the earth (the effect of gravity between the two spheres is negligible). A fraction of the electrons from each sphere is then removed, leaving behind a net positive electric charge on each sphere. Once the spheres are charged, they move away from each other causing the thread to hang at 45 degrees from vertical. a) What is the net positive charge on each sphere? Hint: The horizontal and vertical forces acting on each sphere must be equal for the net force to be along a 45 degree angle. b) Given that the atomic mass of Aluminium is 27 and the atomic number is 13, what percentage of total electrons of the aluminium spheres need to be taken away to achieve this scenario?22. How much charge in coulombs is stored by a 50-μF capacitor with 20 V across its plates? A. 100 μC B. 2.5 μC C. 1 mC D. 1 μC
- A 6 g ball with a charge of 4 μC hangs by a thread between two oppositely charged parallel plates as shown below. The distance between the ball & the edges of the plates is much greater than the distance between the plates. Each plate has the same constant uniform charge density. A + 30° Determine the voltage between the plates. -61.9806 V X 67.8963916567 V Determine the polarity of each plate. You will not receive credit until you have correctly selected the polarities of both plates. left plate neutral right plate impossible to determine 8 mm ×A mass of 8 X 10-24 kg has a charge of 4|e| where e is the charge on an electron. a) What is its KE at 4% of the speed of light? b) What is this in eV? c) What is the voltage needed to obtain this energy?10. A point charge (Q) is located in a hollow ca- vity which is inside of a conductor ; we note that the conductor has no excess charge. In the figure, let V, , Vý ,Ve and Va be the poten- tials at points “a", “b", “e" and “d" respec- tively. If Q is positive then which answer choice gives correct information? a. V, > V, ; V, V, ; V, > V, c. V, = V, ; V, = V, d. V, V.