Consider a metallic spherical shell of radius a and charge Q, as shown in Figure 4. Figure 4 A spherical shell of radius a and charge Q (a) Find the electric potential everywhere. (b) Calculate the potential energy of the system.
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- The electric potential on the surface of a charged conducting sphere is 210 V, and 10.0 cm farther from the center of the sphere the potential is 140 V. (a) Determine the radius of the sphere. HINT: Use a ratio of the two given potentials to solve for the radius. 20 cm (b) Determine the charge on the sphere. 4.67 nC The electric potential on the surface of another charged conducting sphere is 240 V, and 10.0 cm farther from the center the magnitude of the electric field is 410 V/m. (c) Determine all possible values for the radius of the sphere. (Enter your answers from smallest to largest. If only one value exists, enter "NONE" in the second answer blank.) HINT: Use the ratio of the potential at the surface to the E field at the surface plus 10.0 cm to solve for the radii. cm r2 = cm (d) Determine the charge on the sphere for each value of r. (If only one value exists, enter "NONE" in the second answer blank.) 91 = nC 92 =A thin rod extends along the x-axis from x = −a to x = a . The rod carries a positive charge +Q uniformly distributed along its length 2a with charge density λ, as shown in Figure attached. a) Use dV = 1/4πε0 ∫ dq/r to show that the electric potential at point P is given by: V(x) = (λ/4πε0) ln(x + a/x − a) b) What is the electric potential of the rod at x = 4a and x = 2a? c) What is the electric potential difference between x = 4a and x = 2a?Consider the figure shown below. Q1=1.75×10−9 C and Q2=−8.7×10−9 C. Calculate the electric potential at the location marked '3'. Charges Q1, Q2, and point '3' are all located at integer coordinates that you can read off of the graph. Assume the electric potential at infinity is zero.
- The two charges in the figure below are separated by d = 2.50 cm. (Let q1 = -18 nC and q2 = 27.5 nC.) (a) Find the electric potential at point A in kV (b) Find the electric potential at point B, which is halfway between the charges in kVA) Find the electric potential at point P in the figure B) Suppose the three charges shown in the figure are held in place. A fourth charge, with a charge of +5.32 μC and a mass of 5.23 g, is released from rest at point P. What is the speed of the fourth charge when it has moved infinitely far away from the other three charges?A solid aluminum sphere with radius a has an explicitly negative charge,−q. Concentric with the aluminum sphere is a copper spherical shell with inner radius b, outer radius c, and an explicitly positive charge, +Q. Assume that the magnitude of the positive charge on the copper shell is greater than the magnitude of the negative charge on the aluminum sphere, and take the electric potential at infinity as zero. Enter an expression for the electric potential, V, that is valid for a
- Three charges, q1 = 8.50 nC, q2 = 3.50 nC and q3 = -5.00 nC are distributed as shown in Figure 1. Charge q2 is a distance 35.0 µm to the right of charge 9₁ and charge q3 is a distance of 25.0 µm to the right of charge 92. What is the electric potential a distance of 10.0 µm to the right of charge 93? 91 92 93 Note: Your answer is assumed to be reduced to the highest power possible.The three charges in the figure below are at the vertices of an Isosceles triangle. Let q = 5.50 nC and calculate the electric potential at the midpoint of the base. (Let d = 1.50 cm and d₂ = 8.00 cm.) d₁ d₂ X Enter a number. differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully kV Need Help? Read it