Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

Using the exact exponential treatment, find how much time is required to charge an initially uncharged 100 -pF capacitor through a $75.0-\mathrm{M} \Omega$ resistor to 90.0$\%$ of its final voltage.

.017 see

Physics 102 Electricity and Magnetism

Chapter 21

Circuits, Bioelectricity, and DC Instruments

Direct-Current Circuits

Hope College

University of Sheffield

University of Winnipeg

Lectures

11:53

In physics, a charge is a …

10:30

The electric force is a ph…

01:18

Using the exact exponentia…

03:20

A 4600$\Omega$ resistor is…

01:42

A charged capacitor is con…

02:24

An uncharged 10 - $\mu$ F …

03:25

A 2.00 -nF capacitor with …

11:31

03:53

A. 00 -nF capacitor with a…

01:52

A 12.0-mF capacitor is cha…

03:48

A $12.0-\mu \mathrm{F}$ ca…

02:31

A $10.0-\mu \mathrm{F}$ ca…

04:53

Charging and discharging a…

08:29

An uncharged capacitor and…

05:44

An emf of 10 $\mathrm{V}$ …

03:52

04:36

A. $00-n F$ capacitor with…

02:06

03:26

Find the charge stored whe…

00:47

A $10 \mu F$ capacitor ini…

03:01

A 6.00-$\mu$F capacitor th…

04:46

Assume in the circuit of F…

so we will use the charging equation. We'II acquittal. We not which is E M f. Science one minus exponential negativity divided by tower. And we are given the potential difference or the capacitor is charged to 90% off the final voltage, which is reasonable. So this must be a 0.9 off the zero. The zero times one minus explanation. Negative to you, divided by top. So we can simply cancel the zero from both sides. Then one minus exponential tip divided. But how is equal to 0.9 So exponential negativity about it. My child is equal to 0.1. So let's take natural love on both side. This will yield negative. T by child is equal to natural log off 0.1, which is negative 2.3 zero to fight to six. Okay, so she is equal to negative 2.3026 sort of positive times toe. As we know, Tao is given by resistance times to capacitance. It's a 2.3023 times the resistance, which is 75 mega over 75 times 10 power six or multiplied by the capacitance of 100. Pico Fair which is 100 times 10 power. Negative. 12. So let's do that calculation. This will be 1 72 point seven times turn power Negative four, which is equal to 0.17 three seconds. So it will take 0.173 seconds to charge. Capacitor to point 0.9 and 90% of final vote. Oh, this is wrong. Here. This must be zero point 017 three as there is 10 power negative four. And this is Did you do your number? Thank you.

View More Answers From This Book

Find Another Textbook

Numerade Educator

In physics, a charge is a physical property of matter that causes it to expe…

The electric force is a physical force exerted by electrically charged parti…

Using the exact exponential treatment, find how much time is required to dis…

A 4600$\Omega$ resistor is connected across a charged 0.800 $\mathrm{nF}$ ca…

A charged capacitor is connected to a resistor and switch as in Figure $\mat…

An uncharged 10 - $\mu$ F capacitor and a $470-k \Omega$ resistor are in ser…

A 2.00 -nF capacitor with an initial charge of 5.10$\mu \mathrm{C}$ isdi…

A 2.00 -nF capacitor with an initial charge of 5.10$\mu \mathrm{C}$ is disch…

A. 00 -nF capacitor with an initial charge of 5.10$\mu \mathrm{C}$ is dis- c…

A 12.0-mF capacitor is charged to a potential of 50.0 V and then discharged …

A $12.0-\mu \mathrm{F}$ capacitor is charged to a potential of 50.0 $\mathrm…

A $10.0-\mu \mathrm{F}$ capacitor is charged by a $10.0-\mathrm{V}$ battery …

Charging and discharging a capacitor. A 1.50$\mu \mathrm{F}$ capacitor is ch…

An uncharged capacitor and a resistor are connected in series to a source of…

An emf of 10 $\mathrm{V}$ is connected to a series $R C$ circuit consisting …

A $10.0-\mu \mathrm{F}$ capacitor is charged by a 10.0 $\mathrm{V}$ battery …

A. $00-n F$ capacitor with an initial charge of 5.10$\mu C$ is discharged th…

Find the charge stored when 5.50 V is applied to an 8.00 pF capacitor.

A $10 \mu F$ capacitor initially charged to $20 \mu C$ is discharged through…

A 6.00-$\mu$F capacitor that is initially uncharged is connected in series w…

Assume in the circuit of Figure 8 that $R=200 \Omega, C=0.02 \mathrm{F}$ and…

01:57

In Example $25.7,$ the magnification of a book held 7.50 $\mathrm{cm}$ from …

01:32

$\alpha$ decay of $^{218} \mathrm{Po}$ , the isotope of polonium in the deca…

04:41

(a) How long would the muon in Example 28.1 have lived as observed on the Ea…

02:55

(a) Calculate the approximate age of the universe from the average value of …

02:40

(a) Verify from its quark composition that the $\Delta^{+}$ particle could b…

02:16

Unreasonable ResultsSuppose you have a $40.0-\Omega$ galvanometer with a…

03:12

In a Millikan oil-drop experiment using a setup like that in Figure 30.9, a …

01:33

33.1 The Yukawa Particle and the Heisenberg Uncertainty Principle Revisited<…

00:55

Show that $(13.6 e V) / h c=1.097 \times 10^{7} m=R$ (Rydberg's constan…

02:08

(a) Calculate the activity $R$ in curies of 1.00 g of $^{226} \mathrm{Ra}$ (…