Solve the following capacitance problems and show your solution: 2. A parallel plate capacitor has square plates of side 5 cm and separated by a distance of 1 mm.(a) Calculate the capacitance of this capacitor. (b) If a 10 V battery is connected to the capacitor,what is the charge stored in any one of the plates? (The value of ɛo = 8.85 x 10-12 Nm² C-²)Solution(a) The capacitance of the capacitor isE,A_ 8.85x1012 x25×10C= =d1x10= 221.2 x10-13 FC = 22. 12 x10-12F = 22 .12 pF(b) The charge stored in any one of the plates is Q = CV, Then= 22.12 x10-12 x10= 221.2 x10-12C = 221.2 pC Direction: Answer the following questions.1. The plates of a parallel plate capacitor are separated at 1.0 mm apart. What is the capacitancein air if the plate is 10 cm?? What is the charge in each plate if a potential difference of 100 V isapplied?2. (a) Calculate the capacitance of a capacitor whose plate are 20 cm x 3.0 cm and areseparated by a 1.0 mm gap. (b) what is the charge on each plate if the capacitor is connectedto 15 V battery?

Given data: Distance (d) = 1.0 mm = 1.0×10-3 m Plate Area (A) = 10 cm2 = 10×10-4 cm2 Potential…

The plates of a parallel plate capacitor are separated at 1.0 mm apart. What is the capacitance in air if the plate is 10 cm?? What is the charge in each plate if a potential difference of 100 V is applied?

The plates of a parallel plate capacitor are separated at 1.0 mm apart. What is the capacitance in air if the plate is 10 cm?? What is the charge in each plate if a potential difference of 100 V is applied?

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter8: Capacitance

Section: Chapter Questions

Problem 64AP: A capacitor is made from two flat parallel plates placed 0.40 mm apart. When a charge of 0.020C is...

See similar textbooks

Related questions

Q: Three cells of emf 2-0 V, 1-8 V and 1-5 V are connected in series. Their internal resistances are 0-...

Q: 1. Find A, B and C. Show the solution and illustrate it through the use of free body diagram. 445N I...

A: When there is contact between the surfaces a normal reaction force comes in to existence which has d...

Q: A proton traveling at 22.9° with respect to the direction of a magnetic field of strength 2.41 mTexp...

Q: Problem 5: An electric current of I= 0.55 A flows through a long, straight wire. The wire lies in th...

Q: Assessment/Homework: 1. Explain why during the summer months, static cling in clothes is generally n...

A: Stray electrons build up in the atmosphere and some are negatively charged, while some are positive...

Q: A spring with a spring constant of 30.0 N/m is attached to a rigid wall at one end and a 6.00 kg blo...

Q: 30.0 cm Consider two identical, uniform, 30-cm-long wooden boards, stacked on top of each other, and...

Q: 2. Determine the acceleration that a body whose mass is 677 gr can develop. when a force of 70 N is ...

A: Write the expression for the acceleration. Here, F represents the force and m represents the mass.

Q: Which wave property can be easily observed for transverse waves on a string? Group of answer choi...

A: standing wave: A wave form which occurs in a limited, fixed medium in such a way that the reflected ...

Q: A college student earning some summer money pushes a lawn mower on a level lawn with a constant forc...

A: Solution:-

Q: 9 When two objects are rubbed together, which particle is most likely to be transferred? to In

A: As per our company guidelines we are supposed to answer ?️only first 3 questions Kindly repost other...

Q: An electron in a magnetic field moves along a circle with a radius of 7.0 m and a speed that follows...

Q: How much energy is imparted to an electron as it flows through a 1.5 V battery from the positive to ...

A: Given data: The potential difference between the terminals of a battery, V=1.5 V.

Q: Problem 4. Identifying the metal. A solid metallic sphere used in a particular machinery has a diame...

A: Given : Diameter of metallic sphere = 1.256 ±0.003 cm Mass of metallic sphere = (7.38±0.04) g Densit...

Q: Example 5 Find the current flowing through a copper wire of length 02 m, area of cross-section 1 mm?...

Q: 4. Consider a pirate boat in a pond with the anchor on the boat. When the pirates throw the anchor o...

A: We have a boat on which there is an anchor having mass say m, density ρ and volume V. This anchor is...

Q: A ball with a mass of 0.10 kg is traveling with a velocity of 0.50 m/s in the +x-direction and colli...

Q: Show that Ā. B = A,B¾ + A,By +A¿Bz

Q: A bicyclist is stopped at the entrance to a valley, as sketched below: Where would the bicyclist hav...

A: Given:

Q: V is the energy (in J) required to bring the two charges from infinite distance separation to distan...

Q: It takes a force of 130 N to stretch a spring by 50 cm. Find the work done in stretching the spring ...

A: Given data :- Force F = 130 N Stretch due to force F i.e., x0 = 50 cm = 0.5 m To be found - Work don...

Q: e In general, solid materials become electrically charged because of the tra what kind of particle?

Q: a.Calculate the weight of a 75.6 kg astronaut on the surface of Mars at the equator.

A: Dear student, Since both questions are different as per guidelines we can author only first one ple...

Q: Q6: The bob of a simple pendulum has mass 2 g and a charge of 5.0 C. It is at rest in a uniform hori...

Q: The length and breadth of a rectangular sheet are 16.2 cm and 10.1 cm, respectively. The area of the...

Q: Identical charges A, B and C are located between two oppositely charged parallel plates, as shown in...

Q: Q5: Voltage rating of a parallel plate capacitor is 500 V. Its dielectric can withstand a maximum el...

A: Given: The voltage rating of a parallel plate capacitor: V = 500 V; The maximum electric field that...

Q: A gracing car unifortm what distonce, will .it coverin 19 secondo oftesithe t0gr ha d aceelestation ...

A: Acceleration (a) = 10 ms2Initial velocity (u) = 0 mstime (t) = 12 seconds

Q: A bicyclist is stopped at the entrance to a valley, as sketched below: Where would the bicyclist hav...

Q: ( ) A point charge Q = -30 nC is located at m. We want to find the electric field at location A m....

Q: If the average normal temperature decreases with altitude in the troposphere is 6.5 °C/km, calculate...

A: Temperature decreases in troposphere with the increasing height. The rate of decrease of temperature...

Q: Part A An electromagnetic standing wave in air has a frequency of 75.5 MHz What is the distance betw...

A: (A) Calculate the distance between nodal planes of the E field.

Q: A 3.25-meter steel column was placed between two concrete blocks at 20.6℃. Calculate the gap needed ...

Q: What is the focal length of a magnifying glass that produces a magnification of 2.00 when held 8.00 ...

Q: A pressure versus volume (pV) diagram for a system is shown in the figure. The arrows of the curve i...

Q: The temperature at which a gas will occupy no volume and all particle motion stops is

A: Solution- The temperature at which a gas will occupy no volume and all particle motion stops is know...

Q: A boy on a merry-go-round at a distance of 1.25 m from the center. If the boy moves through an arc l...

Q: 1.30 The numerical values of the voltages and currents in the interconnection seen in Fig. P1.30 are...

Q: Two 50 μF capacitor are connected in parallel. The equivalent capacitance of the combination is

Q: A circuit consisting of three ideal batteries with voltages 81, E2, and E3, and three ideal resistor...

A: E1 = 13 V E2 = 13.5 V E3 = 31.5 V R1 = 5000 ohm R2 = 15500 ohm R3 = 4750 ohm Let IP be the current f...

Q: 5.2. What charge will appear on the plates of the capacitor in the previous problem potential differ...

A: We know that here we have given a circuit arrangement of the capacitance in the series and parallel ...

Q: Q4: Carbon, silicon and germanium have four valence electrons each. At room temperature which one of...

Q: Two identical metallic spheres are suspended as bobs of a simple pendulum. Each of the bobs has a ch...

Q: Describe what is an electric dipole. For an electric dipole with charges q and -q write down the cor...

A: Answer:- Answer A(7) - Electric dipole:- An electric dipole is a couple of opposite charges q aand...

Q: An electric current is a flow of electron

Q: . A battery has an emf E and internal resistance r. A variable resistance R is connected across the ...

Q: A is along the +X-axis and vector Bis along the +y-axis. Which one of the following statements is co...

A: According to question we need to find that which statement is correct.

Q: 1. (a) Under what conditions is the clectric ficld at a distance r away from a charge distribution o...

A: Electric Field: The electric field is a region around a charged particle or body where other charged...

Q: If the metal case of an appliance comes in contact with a live wire and it does not have a ground wi...

A: If the metal case of an appliance comes in contact with a live wire and it does not have a ground wi...

Q: A toll ey ,whilė inclimed i what will be its velxily. -the 8 front ? down an geing hax an 'acceleati...

A: Given data : Initial velocity = u Acceleration ...

Concept explainers

Combination of Capacitors

The connection of capacitors can be established in a circuit in two ways.

Question

100%

Solve the following capacitance problems and show your solution:

2. A parallel plate capacitor has square plates of side 5 cm and separated by a distance of 1 mm.
(a) Calculate the capacitance of this capacitor. (b) If a 10 V battery is connected to the capacitor,
what is the charge stored in any one of the plates? (The value of ɛo = 8.85 x 10-12 Nm² C-²)
Solution
(a) The capacitance of the capacitor is
E,A_ 8.85x1012 x25×10
C= =
d
1x10
= 221.2 x10-13 F
C = 22. 12 x10-12
F = 22 .12 pF
(b) The charge stored in any one of the plates is Q = CV, Then
= 22.12 x10-12 x10
= 221.2 x10-12
C = 221.2 pC

Direction: Answer the following questions.
1. The plates of a parallel plate capacitor are separated at 1.0 mm apart. What is the capacitance
in air if the plate is 10 cm?? What is the charge in each plate if a potential difference of 100 V is
applied?
2. (a) Calculate the capacitance of a capacitor whose plate are 20 cm x 3.0 cm and are
separated by a 1.0 mm gap. (b) what is the charge on each plate if the capacitor is connected
to 15 V battery?

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

In nuclear fission. a nucleus splits roughly in half. (a) What is the potential 2.00 10-14 m from a fragment that has 46 protons in it? (b) What is the potential energy in MeV of a similarly charged fragment at this distance?
a. If capacitor B in Figure 27.8 has a charge of 0.5 nC, what is the potential difference between its plates and how much potential energy does it store? b. If capacitor A in Figure 27.8 stores the same amount of potential energy found in part (a), what is the magnitude of the excess charge on its plates? What is the potential difference between its plates? Use the capacitance CA found in Concept Exercise 27.2.
A lightning bolt strikes a tree, moving 20.0 C of charge through a potential difference of 1.00102 MV. (a) What energy was dissipated? (b) What mass of water could be raised from 15 °C to the boiling point and then boiled by this energy? (c) Discuss the damage that could be caused to the tree by die expansion of the boiling steam.
In different experimental trials, an electron, a proton, or a doubly charged oxygen atom (O--), is fired within a vacuum tube. The particle's trajectory carries it through a point where the electric potential is 40.0 V and then through a point at a different potential. Rank each of the following cases according to the change in kinetic energy of the particle over this part of its flight from the largest increase to the largest decrease in kinetic energy. In your ranking, display any cases of equality, (a) An electron moves from 40.0 V to 60.0 V. (b) An electron moves front 40.0 V to 20.0 V. (c) A proton moves from 40.0 V to 20.0 V'. (d) A proton moves from 40.0 V to 10.0 V. (e) An O-- ion mines from 40.0 V to 60.0 V.
What is the maximum capacitance you can get by connecting three 1.0F capacitors? What is the minimum capacitance?
It the voltage between two points is zero, can a test charge be moved between them with zero net work being done? Can this necessarily be done without exerting a force? Explain.
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 parallel-plate capacitor with area 0.200 m2 and plate separation of 3.00 mm is connected to a 6.00-V battery. (a) What is the capacitance? (b) How much charge is stored on the plates? (c) What is the electric field between the plates? (d) Find the magnitude of the charge density on each plate. (e) Without disconnecting the battery, the plates are moved farther apart. Qualitatively, what happens to each of the previous answers?
A capacitor is made from two flat parallel plates placed 0.40 mm apart. When a charge of 0.020C is placed oil the plates the potential difference between them is 250 V. (a) What is the capacitance of the plates? (b) What is the area of each plate? (c) What is the charge on the plates when the potential difference between them is 500 V? (d) What maximum potential difference can be applied between the plates so that the magnitude of electrical fields between the plates does not exceed 3.0 MV/m?
(a) When a 9.00-V battery is connected to the plates of a capacitor, it stores a charge of 27.0 C. What is the value of the capacitance? (b) If the same capacitor is connected to a 12.0-V battery, what charge is stored?
Wliat is the relationship between voltage and energy? More precisely, what is the relationship between potential difference and electric potential energy?
1. A capacitor is made of 2 rectangular metal plates with side length of 3cm x 6cm separated by a distance of 2.36 with water in between the plates. The capacitor has a voltage of 110v and is not connected to a battey, calculate the capacitance. What is the new capacitance if we replace water with a new dielectric material with a constant of 3.75 in between the plates? What is the new voltage? What is the charge on each plate