Q1: A circular disc of radius a is located in the xy-plane, the center of disc is at the origin. Find the electrical potential at point (0,0,h) if the disc is uniformly charged with charge density As.
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Q: An isolated conducting sphere of radius a = 0.20 m is at a potential of -2,000 V. Determine the…
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- In the coordinate system shown in the figure, particle 1 with charge q1 = 4.5 μC is located at coordinates (x1,y1) = (-3, 0) m and particle 2 with charge q2 = -11 μC is located at coordinates (x2,y2) = (1, 0) m. a. If you assume the potential vanishes at infinity, the potential will be zero at some point (x0,0) with -3 m < x0 < 1 m. Write an expression for x0 in terms of q1, q2, x1, and x2. b. Solve for the numerical value of x0. c. Select the correct expression for the magnitude of electric field E0 at point (x0,0) in terms of q1, q2, x1, and x2. d. Solve for the numerical value of E0, in newtons per coulomb.Consider a uniformly charged solid sphere of radius R carrying total charge Q. Q V(R) = ATREO Derive an expression for the electric potential V(R) on the surface of the sphere? Enter your expression in terms of given quantities, the permittivity of free space €0, and rational and exact irrational numbers. Assume that the zero reference point for the potential is at the center of the sphere IncorrectA charged conducting spherical shell of radius R = 3 m with total charge q = 23 μC produces the electric field given by E⃗ (r)={014πϵ0qr2r̂ forforr<Rr>R(PICTURE ATTACHED OF EQUATION) a. Enter an expression for the electric potential inside the sphere ( r < R ) in terms of the given quantities, assuming the potential is zero at infinity. V(r)= b. Calculate the electric potential, in volts, at radius r inside the charged shell. V(r) =
- Find the electric potential distribution of charged spherical surface with the charge q and the radius RSSD_W06_04 0/3 points (graded) R. +Q B R. The figure above shows a solid insulating sphere of radius R2 with charge -Q (Q > 0) distributed uniformly throughout the volume. This sphere is centered within a thin spherical shell of radius R1; a charge +Q is distributed uniformly on the surface of the spherical shell. Very far away from the sphere and the spherical shell, the electric potential is zero. Use k for Coulomb's constant. At point A on the surface of the spherical shell, what is the electric potential VA? VA = Point B is on the surface of the sphere. What is the potential difference, VB – VẠ? VB - VA = Point C is at the center of the sphere. What is the potential difference, Vo - VB? Ve - VB =E1.3
- A uniform electric field of magnitude 280 V/m is directed in the negative y direction as shown in the figure below. The coordinates of point A are (-0.900, -0.200) m, and those of point ® are (0.500, 0.450) m. Calculate the electric potential difference Va - V, using the dashed-line path. AA uniformly charged insulating rod of length 12.0 cm is bent into the shape of a semicircle as shown in the figure below. The rod has a total charge of -9.00 μC. Find the electric potential at O, the center of the semicircle. x All the charge is equidistant from the center. Would the potential change if we gathered all of the charge into a single point at this same distance? MV ⓇProblem 4: As part of a science fair project you want to construct several capacitors with different dielectrics inside. The conducting plates will be made from aluminum (with surface area A). The first capacitor uses a plane of glass with thickness d, surface area A, and dielectric constant κ (Figure 1). It has capacitance Cglass. The second uses a piece of plastic with thickness d/2, surface area A, and dielectric constant 1.5κ (Figure 2). It has capacitance Cplastic. The third one uses both glass and plastic, and is shown in Figure 3. This configuration has capacitance Ctotal. Part (a) Enter an expression for the theoretical capacitance, Cglass, of the setup using only glass (Figure 1) in terms of A, d, κ, and ε0. Part (b) Now enter an expression for the capacitance using only plastic, Cplastic, in terms of the capacitance using only glass, Cglass. Part (c) Now you construct the last capacitor, using both plastic and glass, with no gap between the glass and plastic. Enter an…
- A thin, spherical, conducting shell of radius R is mounted on an isolating support and charged to a potential of -667 V. An electron is then fired directly toward the center of the shell, from point P at distance r from the center of the shell (r>>R). What initial speed vo is needed for the electron to just reach the shell before reversing direction? Number i UnitsPoint Charges 12 v.B If Q1 is a negative charge, what is the direction of the potential V1 at point P? Q1 O The potential has no direction. H Q2 13 Two point charges (Q1, Q2) and point P in empty space are located on the corners of a rectangle of length L = 3.0 m and height H = 1.6 m. V1= electric potential (or voltage) generated by the charge Q1 V2 = electric potential (or voltage) generated by the charge Q2 If the charges have values of Q1 = -3.5 µC and Q2 = +1.8 µC, what is the value of the total potential (or voltage) at point P? Enter the numerical value in Sl units. %3D %3D Type your answer...Question B