The conductor in the figure has an excess charge of 13.92 mC. If a +9.8 mC point charge is placed in the cavity, what is the net charge on the outer surface of the on conductor? Cavity O a.-4.120 mC O b. 23.72 uC O c. All answers are incorrect. O d. 23.72 mC O e -4.120 uC
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- 1.b. Four infinite uniform sheets of charge ax located as follows: 20 PC/m² to at y = 7 -8 PC/m at y = 3 6 PC/m² at y = -1 18PC/m² y = -4 Find E at (a) PA (2,6,-4), (b) PB (1,1,1)In Thomson’s model, an atom is a positively charged spherical material in which negatively charged electrons are embedded like chocolate chips on a ball of cookie dough. Consider such an atom, made up of a uniformly charged sphere with charge +e and radius R and a point charge with mass m and charge −e. a. Locate the position of electrostatic equilibrium for the electron inside the sphere. b. Assume further that the sphere has little or no resistance to the electron’s mo- tion. If the electron is displaced from equilibrium by a distance less than R, show that the resulting motion of the electron would be simple harmonic. c. If the electron was displaced from equilibrium by a distance greater than R, would the electron oscillate? Would its motion be simple harmonic?Suppose Earth and the Moon each carried a net negative charge Q . Approximate both bodies as point masses and point charges. (a) What value of Q is required to balance the gravitational attraction between Earth and the Moon? (b) Does the distance between Earth and the Moon affect your answer? Explain. (c) How many electrons would be needed to produce this charge?
- Please fill in the blanks. A non-uniformly charged insulating sphere has a volume charge density rho that is expressed as rho equals beta r where beta is a constant, and r is the radius from the center of the sphere. If the, the total charge of the sphere is Q and its maximum radius is R. What is the value for beta?Suppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of radius ra has a charge of +Q, while the outer cylinder of radius rp has charge -Q. The electric field E at a radial distance r from the central axis is given by the function: E = aer/ao + B/r + bo %3D 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 = | S"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 = Evaluating with the upper and lower limits of integration for Vab, then simplifying: C = Q/( (e-rb/ao - eralao) + B In( ) + bo ( ))Suppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of radius ra has a charge of +Q, while the outer cylinder of radius rp has charge -Q. The electric field E at a radial distance r from the central axis is given by the function: E = aer/ao + 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: Va Edr= Edr Calculating the antiderivative or indefinite integral, Vab = (-aaoe-r/ao + B + bo By definition, the capacitance C is related to the charge and potential difference by: C = Evaluating with the upper and lower limits of integration for Vab, then simplifying: C = Q/( (e-"b/ao - era/ao) + B In( ) + bo ( ))
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