Establishing a potential difference The deflection plates in an oscilloscope are 10 cm by 2 cm with a gap distance of 1 mm. A 100 volt potential difference is suddenly applied to the initially uncharged plates through a 1000 ohm resistor in series with the deflection plates. How long does it take for the potential difference between the deflection plates to reach 60 volts

Answers

Answer 1

Answer:

[tex]1.62\times 10^{-8}\ \text{s}[/tex]

Explanation:

[tex]\epsilon_0[/tex] = Vacuum permittivity = [tex]8.854\times 10^{-12}\ \text{F/m}[/tex]

[tex]A[/tex] = Area = [tex]10\times 2\times 10^{-4}\ \text{m}^2[/tex]

[tex]d[/tex] = Distance between plates = 1 mm

[tex]V_c[/tex] = Changed voltage = 60 V

[tex]V[/tex] = Initial voltage = 100 V

[tex]R[/tex] = Resistance = [tex]1000\ \Omega[/tex]

Capacitance is given by

[tex]C=\dfrac{\epsilon_0A}{d}\\\Rightarrow C=\dfrac{8.854\times 10^{-12}\times 10\times 2\times 10^{-4}}{1\times 10^{-3}}\\\Rightarrow C=1.7708\times 10^{-11}\ \text{F}[/tex]

We have the relation

[tex]V_c=V(1-e^{-\dfrac{t}{CR}})\\\Rightarrow e^{-\dfrac{t}{CR}}=1-\dfrac{V_c}{V}\\\Rightarrow -\dfrac{t}{CR}=\ln (1-\dfrac{V_c}{V})\\\Rightarrow t=-CR\ln (1-\dfrac{V_c}{V})\\\Rightarrow t=-1.7708\times 10^{-11}\times 1000\ln(1-\dfrac{60}{100})\\\Rightarrow t=1.62\times 10^{-8}\ \text{s}[/tex]

The time taken for the potential difference to reach the required level is [tex]1.62\times 10^{-8}\ \text{s}[/tex].


Related Questions

I’ll mark you as brinlist please help.

Answers

Answer:

245 divided by 5.14=47.6653696 or 47.66

Explanation:

47.6653 is the correct answer

Assume a device is designed to obtain a large potential difference by first charging a bank of capacitors connected in parallel and then activating a switch arrangement that in effect disconnects the capacitors from the charging source and from each other and reconnects them all in a series arrangement. The group of charged capacitors is then discharged in series. What is the maximum potential difference that can be obtained in this manner by using ten 500

Answers

Answer:

8 kV

Explanation:

Here is the complete question

Assume a device is designed to obtain a large potential difference by first charging a bank of capacitors connected in parallel and then activating a switch arrangement that in effect disconnects the capacitors from the charging source and from each other and reconnects them all in a series arrangement. The group of charged capacitors is then discharged in series. What is the maximum potential difference that can be obtained in this manner by using ten 500 μF capacitors and an 800−V charging source?

Solution

Since the capacitors are initially connected in parallel, the same voltage of 800 V is applied to each capacitor. The charge on each capacitor Q = CV where C = capacitance = 500 μF and V = voltage = 800 V

So, Q = CV

= 500 × 10⁻⁶ F × 800 V

= 400000 × 10⁻⁶ C

= 0.4 C

Now, when the capacitors are connected in series and the voltage disconnected, the voltage across is capacitor is gotten from Q = CV

V = Q/C

= 0.4 C/500 × 10⁻⁶ F

= 0.0008 × 10⁶ V

= 800 V

The total voltage obtained across the ten capacitors is thus V' = 10V (the voltages are summed up since the capacitors are in series)

= 10 × 800 V

= 8000 V

= 8 kV

Larry is making a model of the Solar System. What objects will Larry need to put in his model of the Solar System? Name three types of objects. Describe where Larry should place Earth within the Solar System. es ) your answer below:​

Answers

Answer:

1) It seems that he would need the central gravitational force

   (the sun)

2) Also the planets would need to be included (orbits around the sun)

    Mercury, Venus, Earth, Mars, Jupiter, Saturn, etc.

3. Then, many of the planets have significant objects (moons) rotating about them.

Those would seem to be objects to be included in a model of the solar system.

                     

1) He would need the central gravitational force (the sun)

2) The planets would need to be included: Mercury, Venus, Earth, Mars, Jupiter, Saturn, etc.

3) Many of the planets have specific moons rotating about them.

Larry should put the Earth between the planets Venus, and Mars.

As the time period of an object’s momentum change becomes longer, the force
needed to cause this change becomes _______________________.

Answers

Answer:

Speesd

Explanation:

Other Questions
help me plz and thank you Question 7 of 10Which statement about identity crises is true?A. They occur only in men.B. They can occur at any stage in life.C. They occur only when people are dependent on others.D. They have been proven to be the major cause of change.SUBMIT The model represents the percentage of family households in the 2012 census. What percent of households were not considered families? A:75%B:65%C:65%D:35% also it's not c I got it wrong PLSSSSSSSSSSS HELP OMGGGGGGGG What is the value of x? PLEASE HELP ME PLEASE! a whole number that is a factor of two or more numbers is called a the Median.)Find quartile 2 using the data below:23, 45, 52, 28, 42, 87, 56, 32, 48, 55, 24, 63, 68, 76, 67 Help me And Do not trust people that share links these people hack and put viruses into your phone/computersDO NOT TRUST THESE LINKS President Polk and Mexico's leaders had manydisagreements because Please help me with this review question. So im read this and answered but Im not sure if its right pls help I cant rlly take a bad grade! Instincts are defined asA) learned instincts that exist throughout multiple speciesB) unlearned actions that exist consistently throughout a speciesC) unlearned instincts that vary throughout a speciesD) unlearned instincts that exist throughout multiple species True or false? Lymph vessels pick up a little bit of fluid that leaves your blood vessels every time you heart pumps. Who was Henry Kissinger? hi please help ill give brainliest The sky a blue blanket stretched beyond the horizen and beyond the pacific ocean.Which sentence is edited correctly? The sky, a blue blanket, stretched beyond the horizon and beyond the Pacific Ocean. The sky a blue blanket, stretched beyond the horizon, and beyond the pacific ocean. The sky, a blue blanket stretched beyond the horizon and beyond the Pacific ocean. The sky a blue blanket stretched, beyond the horizon, and beyond the pacific ocean. 1. Conduct research to find four different food sources that could be part of a high-protein diet. For each food source, indicate the major amino acids and other nutritional benefits that are present, then indicate the recommended minimum daily intake of protein for adults. Cite the sources of your research. BBoldIItalicsUUnderlineBulleted listNumbered listSuperscriptSubscript Someone please help me Ill give out brainliest please dont answer if you dont know For the linear function(straight line) y = 7x - 3,ar function(straight line) y = 7x - 3,a) What is the slope of the given function?b) Is the function increasing or decreasing?c) What is the y-intercept(0, b) of the given function?