Problem 7.35 The preceding problem was an artificial model for the charging ca-pacitor, designed to avoid complications associated with the current spreading outover the surface of the plates. For a more realistic model, imagine thin wires thatconnect to the centers of the plates (Fig. 7.46a). Again, the current I is constant,the radius of the capacitor is a, and the separation of the plates is w <

Answered: Problem 7.35 The preceding problem was…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Problem 5.23 What current density would produce the vector potential, A = k o (where a constant), in cylindrical coordinates? Soln. Ã=k %3D %3D I 2 (sk) = Mol DS
Ex. 79: A Leclanche cell with the e.m.f. 1.45 V and internal resistance 2 is connected to a potentiometer wire through a resistance 1440 in series. The potentiometer wire has length 4 m and resistance 8 . Find the potential gradient along the potentiometer wire. What will be the balancing length of this potentiometer wire in case of thermocouple with e.m.f. 100 μV ?
Problem 7.2 A capacitor C has been charged up to potential Vo; at time t = 0, it is connected to a resistor R, and begins to discharge (Fig. 7.5a). +Q -Q (a) ww R +Q C Vo Te R FIGURE 7.5 (b) (a) Determine the charge on the capacitor as a function of time, Q(t). What is the current through the resistor, I (t)? (b) What was the original energy stored in the capacitor (Eq. 2.55)? By integrating Eq. 7.7, confirm that the heat delivered to the resistor is equal to the energy lost by the capacitor. Now imagine charging up the capacitor, by connecting it (and the resistor) to a battery of voltage Vo, at time t = 0 (Fig. 7.5b). (c) Again, determine Q(t) and I(t). (d) Find the total energy output of the battery (f VoI dt). Determine the heat de- livered to the resistor. What is the final energy stored in the capacitor? What fraction of the work done by the battery shows up as energy in the capacitor? [Notice that the answer is independent of R!]
Problem 4.19 Suppose you have enough linear dielectric material, of dielectric constant Er to half-fill a parallel-plate capacitor (Fig. 4.25). By what fraction is the capacitance increased when you distribute the material as in Fig. 4.25(a)? How about Fig. 4.25(b)? For a given potential difference V between the plates, find E, D, and P, in each region, and the free and bound charge on all surfaces, for both cases. Houminos ******************** qa (b)
W = 'fD-Edr. (4.58)
Consider a rod of length L carrying a charge of q distributed uniformly over its length. Where applicable, let V(r→∞)=0. What is the voltage V at point P (at distance a away from the near end of the rod) due to the charge over the length of the rod? Express your answer in terms of given parameters (L,q,a) and physical constants (ke, ε0). Use underscore ("_") for subscripts and spell out Greek letters. Calculate the electric field at point P by differentiating V with respect to a. Let positive sign of E indicate direction of electric field pointing away from the rod.
Subject: Ideal Conductors and Capacitors A ring of mass m and radius r has charge -Q uniformly distributed around it. The ring is located a distance h from an infinite grounded conducting plane. Let z be the vertical coordinate with z = 0 taken to be the center of the infinite conducting plane. Find the electric field above the conducting plane at points on the axis of the ring. Your answershould be a function of Q, r, and h.
Solve the following problems completely and neatly. Write your solution in a clean sheet of paper. Two parallel plates, connected to a 50V power supply, are separated by an air gap. How small can the gap be if it is not become conducting by exceeding its breakdown value of E= 3x106 V/m?
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Consider a rod of length L carrying a charge of q distributed uniformly over its length. Where applicable, let V(r → ∞) = 0. Hint q a. What is the voltage V at point P (at distance a away from the near end of the rod) due to the charge over the length of the rod? Express your answer in terms of given parameters (L,q,a) and physical constants (ke, Eo). Use underscore ("_") for subscripts and spell out Greek letters. Hint for (a) E = Vp = b. Calculate the electric field at point P by differentiating V with respect to a. Let positive sign of E indicate direction of electric field pointing away from the rod. Hint for (b) a Question Help: Message instructor Submit Question с MacBook Pro G Search or type URL ☆ +
2.10 A large parallel plate capacitor is made up of two plane conducting sheets with separation D, one of which has a small hemispherical boss of radius a on its inner surface (D > a). The conductor with the boss is kept at zero potential, and the other conductor is at a potenti al such that far from the boss the electric field between the plates is Ep. (a) Calculate the surface-charge densities at an arbitrary point on the plane and on the boss, and sketch their behavior as a function of distance (or angle). (b) Show that the total charge on the boss has the magnitude 3mé, Ega?. (c) If, instead of the other conducting sheet at a different potential, a point charge q is placed directly above the hemispherical boss at a distance d from its center, show that the charge induced on the boss is d - a? q' = -q 1 dyd + a?
Please fill out the template with the work for this homework problem. Note that you need to have a picture, a list of knowns and unknowns, the general equation/s you will use, and the math steps to solve for the unknown, only plug in the numbers after you have solved for the unknown, and the answer with units included. Problem 1: The voltage across a membrane forming a cell wall is 80.0 mV and the membrane is 9.00 nm thick. What is the magnitude of the electric field strength, in volts per meter, assuming a uniform electric field? (The value is surprisingly large but correct.)

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