You build a home made capacitor using two 9in (22.86cm) diameter metal pie plates that are initially separated with air by a distance of 0.5cm. (make sure to carry at least three digits throughout the problem) (a) What is the capacitance of the system? pf (b) To store 5 microjoules, what potential voltage would you need to charge the capacitor with? (c) That is a lot of volts! You want to store the same 5 microjoules, but use a 120V source to charge it with. What value of a dielectric material would you need to fill the gap? (d) You build and test your homemade capacitor and find it will only store 1 microjoule. To obtain the 5 microjoules you need, how many of the homemade capacitors would you need to make? (e) Would you put them in series or in parallel with the source? O a combination of both O series O parallel

You build a home made capacitor using two 9in (22.86cm) diameter metal pie plates that are initially separated with air by a distance of 0.5cm. (make sure to carry at least three digits throughout the problem) (a) What is the capacitance of the system? pf (b) To store 5 microjoules, what potential voltage would you need to charge the capacitor with? (c) That is a lot of volts! You want to store the same 5 microjoules, but use a 120V source to charge it with. What value of a dielectric material would you need to fill the gap? (d) You build and test your homemade capacitor and find it will only store 1 microjoule. To obtain the 5 microjoules you need, how many of the homemade capacitors would you need to make? (e) Would you put them in series or in parallel with the source? O a combination of both O series O parallel

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter16: Electrical Energy And Capacitance

Section: Chapter Questions

Problem 5CQ: A parallel-plate capacitor with capacitance C0 stores charge of magnitude Q0 on plates of area A0...

See similar textbooks

Similar questions

What If? The two capacitors of Problem 13 (C1 = 5.00 F and C2 = 12.0 F) are now connected in series and to a 9.00-Y battery. Find (a) the equivalent capacitance of the combination. (b) the potential difference across each capacitor, and (c) the charge on each capacitor.
Check Your Understanding When a dielectric is inserted into an isolated and charged capacitor, the stored energy decreases to 33% of its original value, (a) What is the dielectric constant? (b) How does the capacitance change?
Check Your Understanding When a cylindrical capacitor is given a charge of 0.500 nC, a potential difference of 20.0 V is measured between the cylinders, (a) What is the capacitance of this system? (b) If the cylinders are 1.0 m long, what is the ratio of their radii?
The dielectric to be used in a parallel-plate capacitor has a dielectric constant of 3.60 and a dielectric strength of 1.60107 V/m. The capacitor has to have a capacitance of 1.25 nF and must be able to withstand a maximum potential difference 5.5 kV. What is the minimum area the plates of the capacitor may have?
Check Your Understanding The radius of the outer sphere of a spherical capacitor is five times the radius of its inner shell. What are the dimensions of this capacitor if its capacitance is 5.00 pF?
(a) Regarding (lie Earth and a cloud layer 800 m above the Earth as the plates of a capacitor, calculate the capacitance of the Earth-cloud layer system. Assume the cloud layer has an area of 1.00 km2 and the air between the cloud and the ground is pure and dry'. Assume charge builds up on the cloud and on the ground until a uniform electric field of 3.00 106 N/C throughout the space between them makes the air break down and conduct electricity as a lightning bolt, (b) What is the maximum charge the cloud can hold?
(a) Find the equivalent capacitance between points a and b for the group of capacitors connected as shown in Figure P16.46 if C1 = 5.00 F, C2 = 10.00 F, and C3 = 2.00 F. (b) If the potential between points a and b is 60.0 V, what charge is stored on C5? Figure P16.46
An electric potential exists in a region of space such that V = 8x4 2y2 + 9z3 and V is in units of volts, when x, y, and z are in meters. a. Find an expression for the electric field as a function of position. b. What is the electric field at (2.0 m, 4.5 m, 2.0 m)?
(a) What is the potential between two points situated 10 cm and 20 cm from a 3.0C point charge? (b) To what location should the point at 20 cm be moved to increase this potential difference by a factor of two?
(i) Rank the following five capacitors from greatest to smallest capacitance, noting any cases of equality, (a) a 20-F capacitor with a 4-V potential difference between its plates (b) a 30-F capacitor with charges of magnitude 90 C on each plate (c) a capacitor with charges of magnitude 80 C on its plates, differing by 2 V in potential. (d) a 10-F capacitor storing energy 125 J (e) a capacitor storing energy 250 J with a 10-V potential difference (ii) Rank the same capacitors in part (i) from largest to smallest according to the potential difference between the plates, (iii) Rank the capacitors in part (i) in the order of the magnitudes of the charges on their plates, (iv) Rank the capacitors in part (i) in the order of the energy they store.
An air-filled capacitor is made from two flat parallel plates 1.0 mm apart. The inside area of each plate is 8.0cm2. (a) What is the capacitance of this set of plates? (b) If the region between the plates is filled with a material whose dielectric constant is 6.0, what is the new capacitance?
Check Your Understanding What is the potential on the x-axis? The z-axis?