The current at resonance in a series L-C-R circuit is 0.2mA. If the applied voltage is 250mV at a frequency of 100 kHz and the circuit capacitance is 0.04 microfrad . Find the circuit resistance and inductance

Answers

Answer 1

Answer:

The resistance of the circuit is 1250 ohmsThe inductance of the circuit is 0.063 mH.

Explanation:

Given;

current at resonance, I = 0.2 mA

applied voltage, V = 250 mV

resonance frequency, f₀ = 100 kHz

capacitance of the circuit, C = 0.04 μF

At resonance, capacitive reactance ([tex]X_c[/tex]) is equal to inductive reactance ([tex]X_l[/tex]),

[tex]Z = \sqrt{R^2 + (X_ l - X_c)^2} \\\\But \ X_l= X_c\\\\Z = R[/tex]

Where;

R is the resistance of the circuit, calculated as;

[tex]R = \frac{V}{I} \\\\R = \frac{250 \ \times \ 10^{-3}}{0.2 \ \times \ 10^{-3}} \\\\R = 1250 \ ohms[/tex]

The inductive reactance is calculated as;

[tex]X_l = X_c = \frac{1}{\omega C} = \frac{1}{2\pi f_o C} = \frac{1}{2\pi (100\times 10^3)(0.04\times 10^{-6} ) } = 39.789 \ ohms\\[/tex]

The inductance is calculated as;

[tex]X_l = \omega L = 2\pi f_o L\\\\L = \frac{X_l}{2\pi f_o}\\\\L = \frac{39.789}{2\pi (100 \times 10^3)} \\\\L= 6.3 \ \times \ 10^{-5} \ H\\\\L = 0.063 \times \ 10^{-3} \ H\\\\L = 0.063 \ mH[/tex]


Related Questions

What should Kimi have done to ensure that she was acting legally and ethically?

Answers

Answer:

Kimi have done to ensure that she was acting legally and ethically by following the measure that are discussed below in detail.

Explanation:

Legal measures are those measures that are outlined in regulatory laws. Ethical measures are based on the human postulates of morality and wrongdoing. The distinctions between them are these: Legal measures are based on transcribed law, while ethical measures are based on human rights and violations.

please help me solve this​

Answers

Answer:

Following are the solution to this question:

Explanation:

[tex]\to \Sigma F_x = ma_x \\\\\to 3200 t^2 -440 (9.81) (\frac{8}{17}) = 440 (a) \\\\\to 3200 t^2 -2031.24 = 440 (a)\\\\\to a= 7.27t^2 -4.616\\\\\to dv=a.dt \\\\\to \int^{v}_{2} dv = \int^{2}_{0} (7.27t^2 -4.616) dt\\\\\to v-2 = 7.27 \frac{t^3}{3} - 4.616 t^{2}_{0}\\\\\to v-2 = 7.27 \frac{2^3}{3} - 4.616 {2} \\\\\to v-2 = 10.154\\\\\to v= 12.154 \ \frac{m}{s}\\[/tex]

one number is 11 more than another number. find the two number if three times the larger number exceeds four times the smaller number by 4​

Answers

Answer:

a = 40

b = 29

Explanation:

Give a place holder for the numbers that we don't know.

Lets call the two numbers a and b.

From the given info, we can write an expression and solve it:

"one number is 11 more than another number"

a = 11 + b

from this, we know that a > b.

''three times the larger number exceeds four times the smaller number by 4"

3a = 4b + 4

Now we have 2 equations, we can use them to solve using whatever method you want.

a = 11 + b

3a = 4b + 4

I will be using matrices RREF to solve for this.

a - b = 11

3a - 4b = 4

[tex]\begin{bmatrix}1 & -1 & 11\\3 & -4 & 4 \end{bmatrix}[/tex]

[tex]\begin{bmatrix}1 & 0 & 40\\0 & 1 & 29 \end{bmatrix}[/tex]

a = 40

b = 29

A small probe P is gently forced against the circular surface with a vertical force F as shown . Determine the n- and t-components of this force as functions of the horizontal positions.

Answers

This question is incomplete, its missing an image which will be uploaded along this Answer.

Answer:

the normal component of force F_n is F((√(r²-s²)) / r)

the tangential component of force F_t is F(s/r)

Explanation:

Given the data in the image;

from the free body diagram, we write the expression for ∅

sin∅ = s/r

cos∅ = (√(r²-s²)) / r

now expression for normal component of force is;

F_n = Fcos∅

we substitute

F_n = F((√(r²-s²)) / r)

Therefore, the normal component of force F_n is F((√(r²-s²)) / r)

Also for force F_t

F_t = Fsin∅

we substitute

F_t = F(s/r)

Therefore, the tangential component of force F_t is F(s/r)

Two technicians are discussing hd-obd for trucks technician a says that the simplest most familiar definition is the diagnostic function of electronic control system to identify or self-diagnose system fault and report fault codes technician b says automotive and light duty truck versions of OBD is called OBD2 who is correct

Answers

Answer:

Two technicians are discussing HD-OBD for trucks

Technician a says that the simplest most familiar definition is the diagnostic function of electronic control system to identify or self-diagnose system fault and report fault codes.

Technician A is correct.

Explanation:

Onboard Diagnostics (OBD) is a vehicle's self-diagnostic tool which enables technicians to access the diagnostic information for the purpose of performance monitoring and analyzing repair needs of vehicles.  OBD2 is the diagnostic system that is included in every vehicle made after 1996.  The diagnostics can check the engine and other vehicle systems and also communicate possible vehicular glitches that happen.

Omg I just got 17/25 questions wrong using this on an Ag test , but got 100’s every time on health

Answers

Answer:

sorry im answering questions for the points cuz im built dfferent

Explanation:

Answer: That happens to me too sometimes. I hate when people give the wrong answers...like if u don't know the answer, then don't respond

1 british gallon = .....litres.
a:4.546
b:3.785
c.5.456
d.7.385​

Answers

Answer:

c

Explanation:

I live in britian

what document is the primary reference document when making ethical decisions?​

Answers

The one that has Ben cited the most and which most directly relates to the topic it is pertaining to.

Find the derivative of y = sin(ln(5x2 − 2x))

Answers

Answer:

[tex]y = \cos[\ln x + \ln (5\cdot x - 2)]\cdot \left(\frac{1}{x} + \frac{5}{5\cdot x-2} \right)[/tex]

Explanation:

Let [tex]y = \sin[\ln(5\cdot x^{2}-2\cdot x)][/tex] and we proceed to find the derivative by the following steps:

1) [tex]y = \sin[\ln(5\cdot x^{2}-2\cdot x)][/tex] Given

2) [tex]y = \sin [\ln[x\cdot (5\cdot x - 2)]][/tex] Distributive property

3) [tex]y = \sin[\ln x + \ln (5\cdot x - 2 )][/tex] [tex]\ln (a\cdot b) = \ln a + \ln b[/tex]

4) [tex]y = \cos[\ln x + \ln (5\cdot x - 2)]\cdot \left(\frac{1}{x} + \frac{5}{5\cdot x-2} \right)[/tex]  [tex]\frac{d}{dx} (\sin x) = \cos x[/tex]/[tex]\frac{d}{dx}(\ln x) = \frac{1}{x}[/tex]/[tex]\frac{d}{dx}(c\cdot x^{n}) = n\cdot c\cdot x^{n-1}[/tex]/Rule of chain/Result

It is preferable not to drive a vehicle in reverse if you have an obstructed view, but if you do, make sure:

Answers

Answer:

While driving in reverse gear it necessary to have reverse audible alarm , a spotter and a rear view mirror.

Explanation:

It is prefer that to not drive a vehicle in reverse. But if we are driving in reverse gear it is necessary to have a reverse audible alarm , a spotter and a rear view mirror.

A 280 km long pipeline connects two pumping stations. It is desired to pump 0.56 m3/s of oil through a 0.62 m diameter line, the discharge station is 250 m lower in elevation than the upstream station, and the discharge pressure is to be maintained at 300 kPa. The oil has a dynamic viscosity of 3.645 x 10-3 Pa·s and a density of 810 kg/m3. The pipe is constructed of commercial steel and the inlet pressure may be taken as 1 atmosphere. Considering the mechanical-energy friction loss Ff, determine the power required to pump the oil if the power efficiency is 70%. Develop a sketch of the piping system considered.
Ignore energy losses due to contraction, expansion & 90° bends!!!

Answers

Can u answer myn and if u do I’ll do urs
Other Questions
I really need help! I WILL MARK BRAINLIEST How wayGeorgians chose toremember their fallenSoldiers of World War 1. the post for Nancy's gazebo form a regular hexagon what is the measure of the angle formed at Each corner of the gazebo A pediatrician plotted the heights and weights of 9 random kids that came through her office. Which coordinate point represents the kid who is 45 pounds? A) (45, 39) B) (38, 45) C) (39, 45) D) (45, 70) (1.2: Solving linear equations) Consider the linear system2x1+ 3x25x3=b17x1+ 2x2+ 8x3=b2x1+x25x3=b3(a) Find the echelon form of the augmented matrix of the above system.(b) Find the conditions onb1,b2,b3for which this system has a solution.(c) Do you see the shape of the points (b1,b2,b3) for which the above system has asolution?(d) If you randomly pick What is an example of a free online library?A. Duck Duck GoB. Project GutenbergC. BingD. PubMed In A ABC, AB = 51 cm, BC = 52 cm and CA = 101 cm, then find the area of A ABC, help will give Brainliest.Does this expression use the distributive property?(6x + 3) + (5x - 4) An example of a slow moving vehicle might be =systmes d'quations suivants. Trouve ensuite sa solutionb) { y = -x + 1y = -2x - 2 You are choosing between two different cell phone plans. The first plan charges a rate of 23 cents per minute. The second plan charges a monthly fee of $49.95 plus 9 cents per minute. How many minutes would you have to use in a month in order for the second plan to be preferable? Simplify2x + x + x + 2y x 3y x y Exporting is the sale of goods and services to foreign markets.true or false? TRUE OR FALSE, The Crow moved to Indian Territory because of constant fighting with the Sioux Judicial review refers to the power of a. Congress to oversee decisions made by the Supreme Court. b. Congress to review the appointment of Supreme Court justices. c. the Court to declare an act of Congress unconstitutional. d. the judiciary to monitor the conduct of presidential elections. A bag contains exactly 22 solid-colored buttons: 4 red, 6 blue, and 12 white. What is the probability of randomly selecting 1 button that is not white? Help with Spanish work sheet?? Which word has a similar denotation to the word childlike but a morenegative connotation? jacorey works at an animal shelter. He is responsible for 96 dogs and cats today. The number of dogs is six more than twice the number of cats. how many dogs are at the shelter today? what are creative unique products example flying water bottle plz dont give me actual already made products