/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 53 If a capacitor has a capacitance... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 17: Problem 53

If a capacitor has a capacitance of \(10.2 \mu \mathrm{F}\) and we wish to lower the potential difference across the plates by \(60.0 \mathrm{V},\) what magnitude of charge will we have to remove from each plate?

Short Answer

Expert verified
Answer: To reduce the potential difference by 60.0 V, 612 渭C of charge must be removed from each plate of the capacitor.

Step by step solution

01

Calculate the Charge To Be Removed

First, let's identify the given values: Capacitance, \(C = 10.2 \mu \mathrm{F} = 10.2 \times 10^{-6} \mathrm{F}\) Potential Difference Reduction, \(\Delta V = 60.0 \mathrm{V}\) Our goal is to find the charge \(\Delta q\) that needs to be removed to lower the potential difference by \(60.0 \mathrm{V}\). Since we know the desired voltage reduction and the capacitance of the capacitor, we can use the equation \(q = C \cdot V\) to determine the charge that must be removed: \(\Delta q = C \cdot \Delta V\)
02

Substitute the Given Values and Solve

Substitute the given values into the equation to find the change in charge: \(\Delta q = (10.2 \times 10^{-6}) \cdot 60\) Calculate the result: \(\Delta q = 612 \times 10^{-6}\)
03

Express the Result in Suitable Units

Finally, express the result in microcoulombs (\(\mu \mathrm{C}\)): \(\Delta q = 612 \times 10^{-6} \mathrm{C} = 612 \mu \mathrm{C}\) So, to lower the potential difference across the plates by \(60.0 \mathrm{V}\), we need to remove \(612 \mu \mathrm{C}\) of charge from each plate of the capacitor.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A hydrogen atom has a single proton at its center and a single electron at a distance of approximately \(0.0529 \mathrm{nm}\) from the proton. (a) What is the electric potential energy in joules? (b) What is the significance of the sign of the answer?
A spherical conductor with a radius of \(75.0 \mathrm{cm}\) has an electric field of magnitude \(8.40 \times 10^{5} \mathrm{V} / \mathrm{m}\) just outside its surface. What is the electric potential just outside the surface, assuming the potential is zero far away from the conductor?
A 200.0 - \(\mu\) F capacitor is placed across a \(12.0-\mathrm{V}\) battery. When a switch is thrown, the battery is removed from the capacitor and the capacitor is connected across a heater that is immersed in $1.00 \mathrm{cm}^{3}$ of water. Assuming that all the energy from the capacitor is delivered to the water, what is the temperature change of the water?
The inside of a cell membrane is at a potential of \(90.0 \mathrm{mV}\) lower than the outside. How much work does the electric field do when a sodium ion (Na') with a charge of \(+e\) moves through the membrane from outside to inside?
A 6.2 -cm by 2.2 -cm parallel plate capacitor has the plates separated by a distance of \(2.0 \mathrm{mm} .\) (a) When \(4.0 \times 10^{-11} \mathrm{C}\) of charge is placed on this capacitor, what is the electric field between the plates? (b) If a dielectric with dielectric constant of 5.5 is placed between the plates while the charge on the capacitor stays the same, what is the electric field in the dielectric?
See all solutions

Recommended explanations on Physics Textbooks

Fluids

Read Explanation

Physics of Motion

Read Explanation

Nuclear Physics

Read Explanation

Conservation of Energy and Momentum

Read Explanation

Space Physics

Read Explanation

Solid State Physics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.