C. A cylindrical surface of radius R and length L is oriented parallel to the z-axis, centred on the origin. The surface charge density ps on the cylindrical surface is constant. Find the electric potential at all points z on the z-axis. Sketch a graph of the result, i.e. V(z). (Hint: see Appendix C.3) 3A
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- A thin plastic rod of length d = 1.1 m lies along the x-axis with its midpoint at the origin. The rod carries a uniform charge density of λ = 2.5 nC/m. The point P is located along the y-axis at (0,y = 25 cm). a) Calculate the electric potential at P, in volts.Q3. A hollow, thin-walled insulating cylinder of radius R and length L (like the cardboard tube in a roll of toilet paper) has charge Q uniformly distributed over its surface. (a) Calculate the electric potential at all points along the axis of the tube. Take the origin to be at the center of the tube, and take the potential to be zero at infinity. (b) Show that if the result of part (a) reduces to the potential on the axis of a ring of charge of radius. (c) Use the result of part (a) to find the electric field at all points along the axis of the tube. Answer (s):There is a non contuctive thin spherical shell with radius r=20 cm. It Carries a uniformly distributed + charge of q=1.5nC. The electric potential at point P, located at distance D=30cm from the sphere surface is equal to what? (The following have units V) a. 27 b. 45 c.54 d. 67 e. 150
- Review | Consta Learning Goal: To practice Problem-Solving Strategy 23.1 Calculating Electric Potential. Part B An insulating, solid sphere has a uniform, positive charge density of p=1.70×10¬7 C/m³ . The sphere has a radius R of 0.370 m . What is the electric potential at a point located at a distance of r = 0.190 m from the center of the shell? Let the electric potential at r = o be zero. What is the potential Vr at a point located at r = 0.190 m from the center of the sphere? Express the potential numerically in volts. • View Available Hint(s) ΑΣΦ ? V, = 1708 V Submit Previous Answers X Incorrect; Try Again; 2 attempts remainingA 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) =5) The electric potential of a solid insulating sphere of radius R with electric charge Q is described by the equations; V (r) : KQ for r> R, V(R) KQ for r= R, r and, V (r) = KQ for rA disk of radius R placed in the xy-plane carries a non-uniform charge density ? = ?? ?/?2where k is constant (you may use the integral below). Find: a. The units of k b. The total charge on the disk in terms of k and R c. The electric potential at point P, a distance y from its center d. The energy of a point charge (??) placed at PA thin plastic rod 8.2 cm long carrying charge -0.022 µC is bent into a circular ring. What is the electric potential at the center of the ring, assuming V = 0 at infinity? Express your answer in kV, to at least one digit after the decimal point.Hello, I am having trouble with this problem because I don't know how to do all three of these parts. Can you help me with Part A, PART B, AND PART C and you can label which one is whichE1.3mm. 2You place a particle of charge q at the origin and another of -2q at x = -d m. a. Write an expression for the potential at some arbitrary distance xp from the origin on the x axis. b. Similar to a), write an expression for the electric field anywhere along x axis. ) A thin wire carries uniform charge q and is shaped into a circle of radius R. a. What is the magnitude of the electric field at the center of the circle? (Hint: this one should be quick!) b. What is the value of the potential (referenced to 0 at infinity) at the center? ) Consider an infinitely long cylinder with radius R and uniform surface charge density o. a. Find the magnitude of the electric field at a distance s from the axis of the cylinder for s R. c. Using your answer to part b, find the potential difference between two points: s= a and s = b. A thin rod of length 1 carries a uniformly distributed charge q. The rod lies on the x axis with its near end at x = +d and the far end of the rod at x = d+l. a. What is the…SEE MORE QUESTIONS