/*! 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} Q9MCQ A battery establishes a voltage ... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

A battery establishes a voltage Von a parallel-plate capacitor.After the battery is disconnected, the distance between the plates is doubled without loss of charge. Accordingly,the capacitance _________ and the voltage between theplates _________.

(a) increases; decreases.

(b) decreases; increases.

(c) increases; increases.

(d) decreases; decreases.

(e) stays the same; stays the same.

Short Answer

Expert verified

(b) decreases; increases.

Step by step solution

01

Understanding the variation of the charge when the battery is connected and disconnected from the capacitor

The plates of the parallel capacitor are joined with the battery. Thus, the battery will establish a potential difference between the plates. The charge will be deposited on the plates.Thereafter, the battery will be disconnected from the parallel plates, and the charge will remain constant on the plates.

02

Determination of the variation in capacitance and voltage

For the parallel plate’s capacitor, thecapacitance can be expressed as:

\(C = { \in _0}\frac{A}{d}\)

Here, A is the area of the plates, d is the separation distance, and\({ \in _0}\)is the permittivity of the free space.

The separation distance will be doubled without the loss of charge. Thus, the value of capacitance decreases.

The value of capacitance decreases when the plates are separated by a large distance. If the distance between the plates increases, the capacitance value will decrease.

The capacitance can be expressed as:

\(C = \frac{Q}{V}\)

Here, Q is the charge, and V is the potential difference. The above equation of capacitance gives the constant ratio value.

However, the charge should remain constant with a smaller value of capacitance. Moreover, there must be an increase in the voltage between the two parallel plates.

Thus, the capacitance decreases, and the voltage between the plates increases.

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 91Ó°ÊÓ!

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

Question: Near the surface of the Earth there is an electric field of about \({\bf{150}}\;{{\bf{V}} \mathord{\left/{\vphantom {{\bf{V}} {\bf{m}}}} \right.} {\bf{m}}}\)which points downward. Two identical balls with mass \({\bf{m = 0}}{\bf{.670}}\;{\bf{kg}}\) are dropped from a height of 2.00 m, but one of the balls is positively charged with \({{\bf{q}}_{\bf{1}}}{\bf{ = 650}}\;{\bf{\mu C}}\), and the second is negatively charged with \({{\bf{q}}_{\bf{2}}}{\bf{ = }} - {\bf{650}}\;{\bf{\mu C}}\). Use conservation of energy to determine the difference in the speed of the two balls when they hit the ground. (Neglect air resistance.)

(II) To get an idea how big a farad is, suppose you want to make a 1-F air-filled parallel-plate capacitor for a circuit you are building. To make it a reasonable size, suppose you limit the plate area to . What would the gap have to be between the plates? Is this practically achievable?

Question: (I) Write the binary number 1010101010101010 as a decimal number.

In the DRAM computer chip of Problem 94, suppose the two parallel plates of one cell’s 35-fF capacitor are separated by a 2.0-nm-thick insulating material with dielectric constant K= 25.

(a) Determine the area A\(\left( {{\bf{\mu }}{{\bf{m}}^{\bf{2}}}} \right)\)of the cell capacitor’s plates.

(b) If the plate area A accounts for half of the area of each cell, estimate how many megabytes of memory can be placed on a\({\bf{3}}\;{\bf{c}}{{\bf{m}}^{\bf{2}}}\)silicon wafer.\(\left( {{\bf{1}}\;{\bf{byte = 8}}\;{\bf{bits}}{\bf{.}}} \right)\)

Question: (I) Write the decimal number 116 in binary.

See all solutions

Recommended explanations on Physics Textbooks

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.