(a) When a 4.00-V battery is connected to the plates of a capacitor, it stores a charge of 20.0 µC. What is the value of the capacitance?µF(b) If the same capacitor is connected to a 12.5-V battery, what charge is stored?Need Help?Read It

(a) When a 4.00-V battery is connected to the plates of a capacitor, it stores a charge of 20.0 uC. What is the value of the capacitance? µF (b) If the same capacitor is connected to a 12.5-V battery, what charge is stored? Need Help? Read It

(a) When a 4.00-V battery is connected to the plates of a capacitor, it stores a charge of 20.0 uC. What is the value of the capacitance? µF (b) If the same capacitor is connected to a 12.5-V battery, what charge is stored? Need Help? Read It

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 30P: (a) When a 9.00-V battery is connected to the plates of a capacitor, it stores a charge of 27.0 C....

See similar textbooks

Related questions

Q: separation of 0.1 mm, and energy density of 3.62 J/m. The plate charge (in uc) on the capacitor is:…

Q: The energy stored in a 50 µF capacitor is 100 Joules, then the capacitor is charged with O 0.1 mC O…

A: Capacitance , C = 50 μF = 50 x 10-6 F Energy stored , E = 100 J To find = Charge on the capacitor

Q: Two spheres surfaces have radii a= 10 cm (inner), and b= 15 cm (external). The dielectric has…

A: SOlution: given that a=10cm b =15 cm eR=10/r3

Q: KINDLY ANSWR IMMEDIATELY, THANKYOU FOR HELPING OUT Three capacitors, each of capacitance 120…

Q: What voltage must be applied to a 120μF capacitor in order for a charge of 139mC to be stored on it?

Q: How much charge flows from each terminal of a 12.0-V battery when it is connected to a 4.40 μF…

Q: Suppose you wish to construct a parallel-plate capacitor with a capacitance of 1.0 F. What area must…

A: It is given that,

Q: If a parallel plate capacitor of 0.100x10-6F using a dielectric material with a constant of k=3.70…

Q: If a parallel-plate capacitor is inserted with a glycerine dielectric, what will be its capacitance…

Q: What total capacitances can you make by connecting a 5.00-μF and a 8.00-μF capacitor?

Q: A parallel-plate air-filled capacitor having area 56 cm² and plate spacing 1.5 mm is charged to a…

A: As per the Bartleby guidelines, we are allowed to solve only three subparts of a question, so the…

Q: How much energy is stored in a 5uF capacitor if it has a potential difference of 2V?

A: Given Capacitance C = 5 μ F = 5 × 10-6 F V = 2 Volt

Q: The Rectangular plates of a parallel-plate capacitor with an area of 2m^2 are 0.0025m apart, and…

Q: A simple capacitor consists of two rectangular plates, each with an area of 5.3 cm2, and are…

Q: Suppose the potential difference across a 3.50 mF capacitor is 300 Volts. How much charge is stored…

A: When a capacitor is provided some potential difference or voltage across it, it stores some charge…

Q: 15.0 µF 3.00 µF |20.0 μF a 6.00 μF Four capacitors are connected as shown in above. Which of the…

A: If two capacitor C1 & C2 are connected series then their equivalent capacitance Cs is given…

Q: How far apart would parallel coins, r = 1.0 cm, have to be to make a 1.00 pF capacitor?

Q: What total capacitances of larger value (in µF) can you make by connecting a 5.65 µF and a 8.30 µF…

Q: How much energy is stored in an 8.00-μF capacitor whose plates are at a potential difference of 6.00…

Q: The Rectangular plates of a parallel-plate capacitor with an area of 2m^2 are 0.0025m apart, and…

A: Given data The area of the rectangular plate is A = 2 m2 The separation distance between the plates…

Q: Two capacitors, C = 5.00 µF and C2 = 12.0 uF, are connected in parallel, and the resulting…

Q: A 36 uF capacitor is being charged by a voltage source and the energy stored is equal to 247.41 uj.…

Q: You are provided with capacitors with ratings of 24uF, 25V. Show the combination to produce an…

Q: Two spheres surfaces have radii a= 10 cm (inner), and b= 15 cm (external). The dielectric has…

A: Given Data: Inner radii, ra=10×10-2 m Outer radii, rb=15 cm=15×10-2 m εR=10r3

Q: Each plate of a capacitor stores a charge of magnitude 1 mC when a 100-V potential difference is…

Q: A series combination of two uncharged capacitors are connected to a 15-V battery, 300 μJ of energy…

Q: You have a 300 nF capacitor and wish to combine it with one other to make a combined capacitance of…

A: Since the equivalent capacitance C is greater than the individual capacitance C!, therefore the two…

Q: A capacitor is composed of 2 plates separated by a sheet of insulating material 2mm thick and of…

A: We have, C1(ε0xεrA/d) = k(4/3), Where k = ε0Ax103 The composite capacitor (with one dielectric of…

Q: What voltage must be applied to an 8.00 nF capacitor to store 0.160 nC of charge?

A: Since you have posted multiple questions we will solve the first question for you . If you want any…

Q: capacitance of a parallel plate capacitor whose plates are 30cmx2.0cm and are separated by 2.00mm…

A: Given, Area of a plate A = 30 cm x 2 cm = 60 cm2 = 0.6 m2 Distance between the plates d = 2 mm =…

Q: While a battery is still connected to a parallel plate capacitor, the distance between the capacitor…

A: Energy stored in parallel plate capacitor is given by, E=12CV2 And capacitance of parallel plate…

Q: If you want to store 20 J of energy in a capacitor charged to 6.0 V, how do you figure the required…

Q: A parallel-plate capacitor with air between the plates has an area A = 2.00 x 10-4 m2 and a plate…

A: Given: Area of plate A= 2*10-4 m^2 separation d=1 mm = 1*10-3 m filled with air thus, permittivity…

Q: How much charge flows from each terminal of a 16.0 V battery when it is connected to a 5.60 x10-6 F…

A: Write the expression for charge amount of charge flowing from each terminal of the battery connected…

Q: Two spheres surfaces have radii a= 3 cm (inner), and b= 6 cm (external). The dielectric has relative…

A: Here given two sphere surface with raddii 3 cm inner and 6cm outer . The permeability is 10. We have…

Q: A “sandwich” is constructed of two flat pieces of metal (2.00 cm × 3.00 cm) with a 4.00-mm-thick…

Q: A 37 uF capacitor is being charged by a voltage source and the energy stored is equal to 249.48 uJ.…

A: The expression for the dielectric constant is,

Q: For the capacitor system in the previous question, suppose a battery with a potential difference of…

Q: Find the capacitance (in units of pF) of a parallel plate capacitor that is made of two parallel…

A: Given: Area, A = 7.6*10-4 m2 Plate separation, d = 6.1 mm = 6.1*10-3 m Dielectric constant, K = 3.2

Q: It is desired that 7.7 mC of charge be stored on each plate of a5.2@mF capacitor. What potential…

A: Charge on the capacitor is Q = 7.7 mC Capacitance of the capacitor is C = 5.2 mF

Q: If you want to store 35 J of energy in a capacitor charged to 24 V , how do you determine the…

A: Given:

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) When a 4.00-V battery is connected to the plates of a capacitor, it stores a charge of 20.0 µC. What is the value of the capacitance?
µF
(b) If the same capacitor is connected to a 12.5-V battery, what charge is stored?
Need Help?
Read It

Expert Solution

Step 1

Given :

V = 4 V

Q = 20 uC

Step by step

Solved in 2 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

Check Your Understanding The capacitance of a parallel-plate capacitor is 2.0 pF. If the area of each plate is 2.4 cm2, what is the plate separation?
Check Your Understanding The potential difference across a 5.0-pF capacitor is 0.40 V. (a) What is the energy stored in this capacitor? (b) The potential difference is now increased to 1.20 V. By what factor is the stored energy increased?
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?
Check Your Understanding Repeat the calculations of Example 8.10 for the case in which the battery remains connected while the dielectric is placed in the capacitor.
(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.
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 Determine the net capacitance C of each network of capacitors shown below. Assume the C1= 1.0 pF, C2=2.0pF, C3=4.0pF, and C4=5.0 pF. Find the charge on each capacitor, assuming there is a potential difference of 12.0 V across each network.
A capacitor is designed so that one plate is large and the other is small. If the plates are connected to a battery, (a) the large plate has a greater charge than the small plate, (b) the large plate has less charge than the small plate, or (c) the plates have equal, but opposite, charge.
According to UE=12C(V)2 (Eq. 27.3), a greater capacitance means more energy is stored by the capacitor, but according to UE = Q2/2C (Eq. 27.2), a greater capacitance means less energy is stored. How can both of these equations be correct?
A parallel-plate capacitor is charged and then is disconnected from the battery. By what factor does the stored energy change when the plate separation is then doubled? (a) It becomes four times larger. (b) It becomes two times larger. (c) It stays the same. (d) It becomes one-half as large. (e) It becomes one-fourth as large.
What is the maximum charge that can be stored on the 8.00-cm2 plates of an air-filled parallel-plate capacitor beforebreakdown occurs? The dielectric strength of air is 3.00 MV/m.
A capacitor is designed so that one plate is large and the other is small. If the plates are connected to a battery, (a) the large plate has a greater charge than the small plate, (b) the large plate has less charge than the small plate, or (c) the plates have equal, but opposite, charge.