1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
katovenus [111]
2 years ago
9

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 c

ircuit capacitance is 0.04 microfrad . Find the circuit resistance and inductance
Engineering
1 answer:
iVinArrow [24]2 years ago
5 0

Answer:

  • The resistance of the circuit is 1250 ohms
  • The 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 (X_c) is equal to inductive reactance (X_l),

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

Where;

R is the resistance of the circuit, calculated as;

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

The inductive reactance is calculated as;

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\\

The inductance is calculated as;

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

You might be interested in
1. Design a circuit, utilizing set/reset coils where PB 1 starts Motor 1 and PB2 stops Motor 1. Pressing and releasing either pu
lianna [129]

Answer:

Circuit attached with explanation

Explanation:

Hi Dear,

A circuit is attached for your reference.

When you press "start" PB, the supply reaches the motor starter relay coil "M" that is also in parallel with the "start" PB which allows the motor to remain ON even when you release "start" PB as supply to relay coil is directly from supply "L" through "M".

To stop motor just press "stop" PB and the circuit breaks which de-energize the relay coil and the motor stops.

Hope this finds easy to you.

5 0
3 years ago
When plotting a single AC cycle beginning at zero degrees and moving forward in time the cycles negative peak occurs at
Lana71 [14]

Answer:A 270 degrees

Explanation:

4 0
3 years ago
64A geothermal pump is used to pump brine whose density is 1050 kg/m3at a rate of 0.3 m3/s from a depth of 200 m. For a pump eff
grin007 [14]

Answer:

835,175.68W

Explanation:

Calculation to determine the required power input to the pump

First step is to calculate the power needed

Using this formula

P=V*p*g*h

Where,

P represent power

V represent Volume flow rate =0.3 m³/s

p represent brine density=1050 kg/m³

g represent gravity=9.81m/s²

h represent height=200m

Let plug in the formula

P=0.3 m³/s *1050 kg/m³*9.81m/s² *200m

P=618,030 W

Now let calculate the required power input to the pump

Using this formula

Required power input=P/μ

Where,

P represent power=618,030 W

μ represent pump efficiency=74%

Let plug in the formula

Required power input=618,030W/0.74

Required power input=835,175.68W

Therefore the required power input to the pump will be 835,175.68W

5 0
2 years ago
Which of these are not referenced in an assembly?
Otrada [13]
E. Parts they don’t resemble
7 0
2 years ago
In addition to bandages and gauze, it's recommended that a first aid kit also contain
e-lub [12.9K]
Disinfectant supplies, such as wipes of gel.
7 0
2 years ago
Other questions:
  • There are 20 forging presses in the forge shop of a small company. The shop produces batches of forgings requiring a setup time
    10·1 answer
  • Convert 0.025 in into mm.
    11·2 answers
  • Compute the electrical resistivity of a cylindrical silicon specimen 7.0 mm (0.28 in.) diameter and 57 mm (2.25 in.) in length i
    9·1 answer
  • In designing a fixed-incline self-acting thrust pad when the width of the pad is much larger than the length, it is of interest
    10·1 answer
  • A small distiller evaporates 10 L of water per half hour. Alloy tubing exposed to the air serves a condenser to recover steam. T
    14·1 answer
  • Select the correct answer.
    6·1 answer
  • The fracture strength of glass may be increased by etching away a thin surface layer. It is believed that the etching may alter
    5·1 answer
  • Every two years or at recommendation by manufacturer.
    10·1 answer
  • Consider coaxial, parallel, black disks separated a distance of 0.20 m. The lower disk of diameter 0.40 m is maintained at 500 K
    13·1 answer
  • It is an important part of the differential maintenance which purpose is to make smoother the differential operation by lubricat
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!