...11 A nonconducting sphere has radius R = 2.31 cm and uni- formly distributed charge q = +3.50 fC. Take the electric potential at the sphere's center to be V₁ = 0. What is V at radial distance (a) r = 1.45 cm and (b) r = R. (Hint: See Module 23-6.)
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For problem 11 of the text, calculate the
potential in miypoV (Mu volts ) at a point r = 0.716 R from the
center of the sphere. Answer in 5 sig. figs!!
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- A uniform ring of charge, in the xy plane, centered on the origin, has radius R, and total charge Q. What is the voltage on the z-axis at position z=h? Give the answer in terms of R, Q, h and the constant \epsilon . As usual assume that the voltage at infinity is zero. V(h)=A capacitor is formed from two concentric spherical conducting shells separated by vacuum. The inner sphere has radius 10.0 cm , and the outer sphere has radius 16.5 cm . A potential difference of 140 V is applied to the capacitor. What is the energy density at r= 10.1 cm , just outside the inner sphere? What is the energy density at r = 16.4 cm , just inside the outer sphere?A capacitor is attached to a battery. It has initial capacitance Co, voltage Vo, charge Qo, and energy Uo. Let's put some dielectric material of dielectric constant K in there in two different ways. For each case, figure out the following for the resulting "new" capacitor: C, V, Q, and U, in terms of the old value and K. The capacitor is left attached to the battery. A slab of dielectric material with K=3 is inserted into the capacitor without otherwise disturbing it. In terms of the initial values, what are the new values? The capacitor is disconnected from the battery after it is charged up to Qo. Then, a slab of dielectric material with K=3 is inserted into the capacitor without anybody touching the plates or otherwise disturbing the capacitor. In terms of the initial values, what are the new values?
- O [HW3.1] A solid metal ball (radius a) is grounded inside a floating (isolated) metal sphere (inner radius b, outer radius d). The sphere comes with total charge Q. Find surface charge density on every surface (the outer surface of the metal ball, inner and outer surface of the sphere), and capacitance of the system.A dielectric slab with thickness d is inserted halfway into the capacitor in the example (covering half the area). Given that d = 0.4 cm, A = 38 cm2, and ? = 4, find the equivalent capacitance in pF.Parl D Constants A cylindrical capacitor has an inner conductor of radius 2.8 mm and an outer conductor of radius 3.2 mm. The two conductors are separated by vacuum, and the entire capacitor is 2.5 m long. The potential of the inner conductor relative to that of the outer conductor is 320 mV. Find the charge (magnitude and sign) on the inner conductor. Express your answer with the appropriate units. μA ха Хь ماه a b X.10n ☑ Q1= 336 C Submit Previous Answers Request Answer × Incorrect; Try Again; 3 attempts remaining Check that you have converted between SI units of electric charge correctly. Part C The potential of the inner conductor relative to that of the outer conductor is 320 mV. Find the charge (magnitude and sign) on the outer conductor. Express your answer with the appropriate units. HA ? Q2 Value Units
- Problem 3.01. (a) Find the electric field between two plates which are separated along the y-axis Ay = 6.00 mm, where the bottom plate has a potential V₂ = 150. mV and the top plate has a potential V₁ = 5.00 mV. (b) What is the potential at a distance Ay' = 2.00 um from the bottom plate?Consider a solid cylindrical conductor of inner conductor radius 61 cm and outer conductor radius 84 cm with charge Q that is coaxial with a cylindrical shell of negligible thickness. Find the capacitance, in nF, of this cylindrical capacitor if its length is 74 m and the insulator used is mica (εr = 6).For problem 4 part b in square centimeters using inner and outer radii of the spherical capacitor of a = 2.00 cm and b = 1.05 a, respectively. (Answer in 5 sig. figs.)
- What is the potential difference V(r) – V(0) for r < a (i.e., where r is inside the insulating sphere, and V(0) is the potential at the origin)?For problem 11 of the text, calculate the potential in pixpoV at a point r = 0.398 R from the center of the sphere. (5 sig figs)3. A cylindrical capacitor consists of a cylinder of radius R, surrounded by a coaxial cylinder shell of inner radius R.(see Fig.3 below, R. > R,). Both cylinders have length L which we assume is much greater than the separation of the cylinders R. – R,, so that we can neglect any end effects. Now the capacitor is charged (by connecting it to a battery) so that the inner cylinder carries a charge +Q and the other one a charge -Q. Note that charges are only distributed over the outer surface of the inner cylinder and the inner surface of the outer cylinder, because of electrostatic equilibrium for these metal conductors; as a result, the electrostatic field only exists in the empty space between two cylinders. Determine: (a). The electric field E(r) as a function of the radius r measured with respect to the central axis of the cylinders. [hint: draw a proper Gaussian surface and then use Gauss's law.] (b). The potential difference (voltage) V between two cylinders. (c). The capacitance…