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What is the charge of q if location A is 2.40 m from the charge, location B is 4.5m away from the charge, and Vb-Va=45V? |
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- A research-level Van de Graaff generator has a 1.95 m diameter metal sphere with a charge of 5.25 mC on it. An oxygen atom with two missing electrons is released from rest near the Van de Graaff generator. What is its kinetic energy in MeV at the distance of 47.25m?An object of mass 5 × 10-6 g is placed over a thin positively charged sheet of surface density of charge σ = 4.0 × 10-6C/m2 (figure shown below). Estimate the charge that should be given to this object so that upon release it will not fall down. Calculate the number of electrons that is to be removed to give this charge. How much mass loss is caused by this removal of electrons?Particle of mass 9×10-31 kg and a negative charge of 1.6x10-19 C is projected horizontally with a velocity of 106 ms into a region between two infinite horizontal parallel plates of metal. The distance between the plates is d 0.3 cm and the particle enters 0.1 cm below the top plate. The top and bottom plates are connected, respectively, to the positive and negative terminals of a 30 V ballery. Find the components of the velocity of the particle just before it hits one of the plates. y |} 2 + + Vo Fig. " E + +
- = 1.602 × 19 = Problem 19.02. A molecule with mass m = 9.11 × 10-25 kg and net charge de 10-1⁹ C is accelerated from rest across a potential difference of V = 200 V. (a) What is the molecule's change in potential energy ¡U? (b) What is the molecule's final velocity vf?Problem 7: Consider the arrangement of three point charges in a right triangle shown in the figure, which have charges q1 = 7.5 µC, 92=-73 µC, and q3= 15 µC. The distance between q1 and q2 is 39 cm and the distance between q2 and q3 is 67 cm. Randomized Variables ed ed 91=7.5 μC 92 = -73 μC 93= 15 µC a=39 cm b= 67 cm 9₁ a +9, b 92 art (a) How much potential energy, in joules, is stored in this configuration of charges? Part (b) Now assume that q, and g, are fixed in space at the locations indicated. and q3 is brought into it's position from infinity. What is the change in potential energy of the system, in joules, select part process? U₂ = 1Four electrons are located at the corners of a square 10.0 nmnm on a side, with an alpha particle at its midpoint. How much work is done by the Coulomb force when the alpha particle moves to the midpoint of one of the sides of the square? Express your answer in joules.
- Three point charges Q1 = 1 mC, Q2 = -2mC, and Q3 = 3 mC are, respectively, located at (0, 0, 4), (-2, 5, 1), and (3, - 4,6). Prompts Submitted Answers Find the potential Vp at P(-1, 1, 2). Choose a match Calculate the potential difference V Po if Q is (1, 2, 3). Choose a matchSuppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of radius rg has a charge of +Q, while the outer cylinder of radius rh has charge -Q. The electric field E at a radial distance r from the central axis is given by the function: E = ae-r/a0 + B/r + bo where alpha (a), beta (B), ao and bo are constants. Find an expression for its capacitance. First, let us derive the potential difference Vab between the two conductors. The potential difference is related to the electric field by: Vab = [ * Edr = - Edr Calculating the antiderivative or indefinite integral, Vab = (-aage-r/ao + B + bo By definition, the capacitance C is related to the charge and potential difference by: C = Q Evaluating with the upper and lower limits of integration for Vab, then simplifying: C = Q / ( (erb/a0 - eTa/a0) + B In( )+ bo ( ))Suppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of radius rg has a charge of +Q, while the outer cylinder of radius r, has charge -Q. The electric field E at a radial distance r from the central axis is given by the function: E = ae-T/ao + B/r + bo where alpha (a), beta (8), ao and bo are constants. Find an expression for its capacitance. First, let us derive the potential difference Vab between the two conductors. The potential difference is related to the electric field by: Voh = Ed Edr Calculating the antiderivative or indefinite integral, Vab = (-aaoe-r/a0 + B + bo By definition, the capacitance Cis related to the charge and potential difference by: C = Evaluating with the upper and lower limits of integration for Vab, then simplifying: C = Q/( (erb/ao - eralao) + ß In( ) + bo ( ))
- D9.7. A point charge of 4 cos 10*zt µC is located at P,(0, 0, 1.5), whereas -4 cos 10*rt µC is at P_(0, 0, -1.5), both in free space. Find V at P(r=450, 0, p = 0) at t = 15 ns for 0 =: (a) 0°; (b) 90°; (c) 45°. %3DA typical AA size rechargeable NiMH battery can store 1100-2100 mAh of electric charge. The small print on the battery in your hand says 1530 mAh. Can you express this amount of electric charge using the usual coulomb units? You are now charging a camera battery. The charger moves 4470 C of electric charge from the negative terminal of the battery to the positive terminal. (In reality the charger moves the negative electrons from the positive terminal to the negative terminal, but this is not important for us right now.) Assuming - incorrectly - that the voltage of the battery remains a constant 3.20 V during the whole charging process, determine the work done by the charger. And now you are charging a capacitor bank for a high-voltage physics experiment. The power supply moves Q = 8990 C of electric charge in the charging process. The supply is set to stop, when the voltage reaches AV = 710 V. How much work did the power supply perform?What is the magnitude of the repulsive force between a 3.4 mC charge and a 6.3 mC charge if they are separated by a distance of 93 centimeters? Report your answer kN rounded up to the tenths place
