A laboratory capacitor consists of two parallel conducting plates, each with area of 200 cm² separated by a 0.40-cm air gap. a. Compute its capacitance b. If the capacitor is connected across a 500-V source, find the charge on it, the energy stored in it, and the value of E between the plates

A laboratory capacitor consists of two parallel conducting plates, each with area of 200 cm² separated by a 0.40-cm air gap. a. Compute its capacitance b. If the capacitor is connected across a 500-V source, find the charge on it, the energy stored in it, and the value of E between the plates

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter6: Gauss's Law

Section: Chapter Questions

Problem 45P: Repeat your calculations for the preceding problem, given that the charge is distributed uniformly...

See similar textbooks

Related questions

Q: The dielectric of a parallel plate capacitor is to be constructed from glass (Kd=4.6). The are of…

Q: What is Ceq of three capacitors, each of capacitance C, if they are connected to a battery (a) in…

Q: A voltage of 14 V is placed on a capacitor with C = 65 pF. (a) What is the charge on the capacitor?…

Q: An anxious physicist worries that the two metal shelves of a wood frame bookcase might obtain a high…

Q: (a) What is the capacitance (in µF) of a parallel plate capacitor having plates of area 1.70 m2 that…

Q: (a) What is the capacitance of a parallel plate capacitor with metal plates, each of area 1.00 m2 ,…

A: Given: A = 1 m2 d = 1 mm = 0.001 m V = 3000 V

Q: Initially, all capacitors are completely unloaded and the charge stored in the plate after pleating…

Q: (i) Use Gauss’s law to find the electric field due to a uniformly charged infinite plane sheet. What…

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: The radius of the outer sphere of a spherical capacitor is five times the radius of its inner shell.…

A: Capacitance due a spherical shape conductor C =( 4πe) (r1×r2) /(r2-r1) Where r1 and r2 are the…

Q: The metal plates of Capacitor A has an area of 1m2 separated by a distance of 0.002 m. If a pyrex…

A: Given that Area of the plates is A = 1 m2 Separation between the plates d = 0.002 m

Q: (I) The two plates of a capacitor hold +2500µ C and -2500 µ C of charge, respectively, when the…

A: It is given that, Q=2500 μC=2500×10-6 CV=960 V

Q: A parallel-plate capacitor with area 0.200 m2 and plate separation of 3.00 mm is connected to a…

A: Part A:

Q: (a)What is the capacitance of a parallel plate capacitor having plates of area 1.50 m2 that are…

A: Area, A = 1.5 m2 distance, d = 0.02 mm

Q: (a) If a drop of liquid has capacitance 2.82 pF, what is its radius? (b) If another drop has radius…

A: Given in question - Capacitance of liquid drop(C) = 2.82 pF Radius…

Q: (a) Find the equivalent capacitance between points a and b. (b) Calculate the charge on each…

A: Let the charge is given by Q. Let the potential is given by ∆V. Let the capacitance is given by C.…

Q: (a) What is the capacitance of a parallel plate capacitor with metal plates, each of area 1.00 m2 ,…

A: (a) Given: The area of the metal plates is 1.00 m2. The distance between the plates is 1.00 mm.

Q: A voltage of 12V is placed on a capacitor with C = 100 pF. (a) What is the charge on the capacitor?…

A: Given data:- Voltage V = 12 V Capacitance C…

Q: A capacitor is made from two concentric spheres, one with radius 5.00 cm, the other with radius 8.00…

Q: What is the capacitance of a parallel plate capacitor having plates of area 1.72 m² that are…

Q: A nervous physicist worries that the two metal shelves of his wood frame bookcase might obtain a…

A: Given Area of shelves A=0.14 m2 Distance between them d=0.27 m Charge on plate Q=2.30 nC

Q: A parallel-plate capacitor has capacitance 8.50 μF. How much energy is stored in the capacitor if…

Q: a parallel plate capacitor has a square plate of side 10.0 cm and separated by a distance of 5 mm.…

A: Given: In a parallel plate: Square plate length, L=10 cm=10×10-2 =0.1 m Plate separation, d=5…

Q: A cylindrical capacitor consists of a solid inner conducting core with radius 0.210 cm, surrounded…

A: Inner radius (r) = 0.210 cm Outer radius = R cm Length (L) = 12.5 cm = 0.125 m Capacitance (C) =…

Q: The radius of the outer sphere of a spherical capacitor is five times the radius of its inner shell.…

A: The expression for the capacitance of the spherical capacitor with the inner radius and the outer…

Q: Two parallel-plate capacitors, 6.0 mF each, are connected in parallel to a 10 V battery. One of the…

Q: You have two flat metal plates, each of area 1.14 m2, with which to construct a parallel-plate…

A: (a) The equation for the capacitance of a parallel plate capacitor is given by C=ε0Ad Here, ε0 is…

Q: A parrallel plate capacitor consisting of two 30.0 cm x 30.0 cm square conductors are separated by a…

A: The equation for the capacitance of a parallel plate capacitor is given by

Q: (a)What is the capacitance of a parallel plate capacitor having plates of area 1.50 m^2 that are…

A: Given : Plate area A=1.50 m2, Plate separation d=0.02 mm, Battery voltage V=9 V. Required: (a)…

Q: a. What is the energy stored on a 25-μF capacitor when the charge on each plate is 2400 μC? What is…

A: (a) Given: The capacitance of the capacitor is 25 μF. The charge on each plate is 2400 μC.

Q: A parallel-plate capacitor is connected to a battery and stores 4.4 nC of charge. Then, while the…

A: Capacitance of a parallel plate capacitor

Q: A spherical capacitor consists of an inner sphere radius 0.010 m surrounded by a spherical shell of…

A: Given data: The spherical capacitor consists of an inner sphere of the radius is, r1=0.010 m And…

Q: To repair a power supply for a stereo amplifier, an electronics technician needs a 100-μF capacitor…

A: Given: The potential difference between the plates = 90 V, maximum voltage capability of…

Q: (a) What is the capacitance of a parallel plate capacitor with metal plates, each of area 1.00 m2 ,…

A: Area (A) = 1 m2distance between the plates (d) = 2 mm

Q: (a) What is the capacitance of a parallel-plate capacitor with plates of area 1.50 m2 that are…

Q: (a) What plate area is required for an air-filled, parallel-platecapacitor with a plate separation…

A: (a) The formula for the capacitance of a capacitor is:

Q: A parallel-plate capacitor with a 0.1-mm air gap has a capacitance of 12 µF. (a) When this capacitor…

A: Given data: The air gap is d=0.1 mm The capacitance is C=12×10-6 F Part a: The magnitude of the…

Q: You have two flat metal plates, each of area 1.00 m2, with which to construct a parallel-plate…

Q: The relative permittivity of a dielectric is 2.25 (a) what is its permittivity? (b) what will be the…

A: Given: Relative permittivity εr=2.25 Capacitance C=7.8 μF Standard data used : Permittivity of free…

Q: The dielectric of a parallel plate capacitor is to be constructed from glass (Kd= 4.6). The area of…

A: A) The equation for the capacitance of a parallel plate capacitor is given by,

Q: A parallel plate capacitor with mica as a dielectric (k = 5) is connected to a 10 V battery. The…

Q: A. Find the expression for the capacitance of a parallel plate capacitor having a surface area of…

A: Capacitance is given by C=Q/V ,where Q is the charge stored by the plates and V is the voltage…

Q: A voltage of 12V is placed on a capacitor with C = 100pF (picofarads). (a) What is the charge on the…

A: The charge stored on a capacitor is given as Q=CVwhere Q is the charge storedC is the capacitance of…

Concept explainers

Dielectric Constant Of Water

Water constitutes about 70% of earth. Some important distinguishing properties of water are high molar concentration, small dissociation constant and high dielectric constant.

Electrostatic Potential and Capacitance

An electrostatic force is a force caused by stationary electric charges /fields. The electrostatic force is caused by the transfer of electrons in conducting materials. Coulomb’s law determines the amount of force between two stationary, charged particles. The electric force is the force which acts between two stationary charges. It is also called Coulomb force.

Question

A laboratory capacitor consists of two parallel conducting plates, each
with area of 200 cm² separated by a 0.40-cm air gap.
a. Compute its capacitance
b. If the capacitor is connected across a 500-V source, find the charge
on it, the energy stored in it, and the value of E between the plates

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A certain capacitor has a capacitance of 4μF when itsplates are separated by 0.2 mm of vacant space. Abattery is used to charge the plate to a potentialdifference of 500 V and is then disconnected from thesystem. (a) What will be the potential differnce acrossthe plates if a sheet of mica 0.2 mm thick is insertedbetween the plates? (b) What will the capacitance beafter the dielectric is inserted? (c) What is hepermittivity of mica?
Assuming the dielectric of each capacitor is air and the network is connected to Vab = 30V supply, calculate thefollowing:a. The equivalent capacitance between a and b
What is the capacitance of a parallel capacitor with matal plates each of area 1.0 m², separated by 1mm. What charge is stored in this capacitor if a voltage of 3kV is applied to it?
A certain parallel-plate capacitor consists of two plates, each with area 200 cm2, separated by a 0.4cm air gap. a) Compute its capacitance. b) If the capacitor is connected across a 500 V source, find thecharge on it, the energy stored in it, and the value of E (electric field) between the plates. c) If a liquidwith K=2.60 is poured between the plates so as to fill the air gap, how much additional charge will flowonto the capacitor from the 500 V source?
Consider a solid cylindrical conductor of inner conductor radius 65 cm and outer conductor radius 77 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 61 m and the insulator used is mica (εr = 6).
Calculate t for capacitors in parallel and in series Charging and discharging
It turns out that the dielectric k constant increases the capacitance by a factor of k. That is, Cnew=kCold. In this case, with the capacitor not connected to a battery, by what factor does the voltage difference across the capacitor change?
Consider a charged conducting sphere made up of polyethylene (εr = 2.26) with a radius 87 cm. If a charge is uniformly distrubuted over its surface, what is its capacitance, in fF and pF?
Solve for the charge, in nC, of a parallel-plate capacitor with an area of 0.45 square meters using a glass dielectric (εr = 3.8), and the distance between their plates is 0.189 mm. The voltage level across the capacitor is measured to be 4 V.
It is the gap between the conductors in a capacitor consisting of two concentric spherical conductors. The radius of the inner conductor is 10 cm and the capacitance of the capacitor is 116 pF. What is the radius of the outer conductive sphere?
Find the total capacitance of the combination of capacitors in microfarads. C = ______
Consider two long, parallel, and oppositely charged wires with linear charge density +λ and -λ of radius r with their centers separated by a distance D (? ≫ ?). Show that the capacitance per unit length of this pair of wires is given by the following, and show the work required to set up an integral for E, ∆? and then finding C.