Problem 1Two different linear dielectrics with dielectric constant E1 and E2 fill the spacebetween the plates of a parallel-plate capacitor as shown in Fig. 1. The plateshave a square shape of side 1. The potential difference between the plates is V.Find, in terms of the parameters Er1, Er2, d1, d2, 1, and V,1. The capacitance.2. The energy stored in the capacitor.Erld₁E12d₂

Answered: Problem 1 Two different linear…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter27: Capacitors And Batteries

Section: Chapter Questions

Problem 11PQ

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When a 360-nF air capacitor is connected to a power supply, the energy stored in the capacitor is 18.5J . While the capacitor is connected to the power supply, a slab of dielectric is insetted that completely fills die space between the plates. This increases the stored energy by 23.2J . (a) What is the potential difference between the capacitor plates? (b) What is die dielectric constant of the slab?
Suppose that the capacitance of a variable capacitor can be manually changed from 100 to 800 pF by turning a dial connected to one set of plates by a shaft, from 0 to 180 . With the dial set at 180 (corresponding to C = 800 pF), the capacitor is connected to a 500-V source. After charging, the capacitor is disconnected from the source, and the dial is turned to 0°. (a) What is the charge on the capacitor? (b) What is the voltage across the capacitor when the dial is set to 0°?
A parallel-plate capacitor has charge of magnitude 9.00F on each plate and capacitance 3.00F when there is air between the plates. The plates are separated by 2.00 mm. With the charge on the plates kept constant, a dielectric with =5 . is inserted between the plates, completely filling the volume between the plates, (a) What is the potential difference between the plates of the capacitor, before and after the dielectric has been inserted? (b) What is the electrical field at the point midway between the plates before and after the dielectric is inserted?
(a) Why is it dangerous to touch the terminals of a high-voltage capacitor even after the voltage source that charged the capacitor is disconnected from the capacitor? (b) What can be done to make the capacitor safe to handle after the voltage source has been removed?
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What is the maximum capacitance you can get by connecting three 1.0F capacitors? What is the minimum capacitance?
A parallel plate capacitor is designed as shown in Fig.The capacitor has a cross-sectional area of A = (1,2 × 1,2) cm2, the distance between the plates d= 2 mm, where the dielectric constant k1 = 4, k2 = 6, and k3 = 2.a. Describe the capacitor combination (series, parallel) formed byall three dielectric materials.b. Calculate the total capacitance of the capacitor?c. If the capacitor is connected with a potential difference V = 5 voltsthen determine the charge and energy stored in the capacitorthe?
Problem 1.A parallel-plate capacitor is made from two square metal plates spaced 1 mm apart.1. If the plates measure 5 cm on each, what is its capacitance?2. If this capacitor is charged with a 9-volt battery, how much charge does it accumulate?
1. You have five 10.0 F capacitors. Show all the possible connections for the five capacitors to produce a total capacitance of 50.0 F. 2. Suppose the space between the plates of the capacitor in Sample Problem 2.6 item number 2 is filled with equal thicknesses of the same dielectrics but arranged as shown. What is its capacitance? 3. The capacitors in Sample Problem 2.6 item number 3 are connected in parallel instead of being in series. The combination is connected to a 100 V line. Find the (a) total capacitance, (b) charge stored in each capacitor, and (c) potential difference across each capacitor.
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