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]
3 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]3 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
A long corridor has a single light bulb and two doors with light switch at each door.
Tpy6a [65]

Answer:

  Light = A xor B

Explanation:

If switches A and B produce True or False, then Light will be True for ...

  Light = A xor B

8 0
3 years ago
When you learned about the Highway Transportation system you learned about 6 different types of people as
Musya8 [376]

Answer: 3 different types of people using Highway Transportation system are :

1. Pedestrians - should be given priority while driving.

2. Cyclists - should be given enough space on road.

3. Motorcyclists- should be given enough space on road.

Explanation:

1. Pedestrians - Most of pedestrians use to walk on the footpath along side road that keeps them on a safe side. But there are places without footpath along side road, in that case they have to walk on the road itself. Here, we need to take care for them. We need to wait in case they are crossing road and also check for them while taking a turn.

2. Cyclists - They travel on road but are tough to figure out. They travel at a slower pace compared to cars. To avoid any accident with them, we are supposed to give them enough space which should be equivalent to a car's space.

3. Motorcyclists - They can pass by very closely and also come between lanes. Most of the things to be considered here are same as that of cyclists. Here also, we need to check for them carefully while taking a turn. Also, need to give them enough space.

4 0
3 years ago
1. A 260 ft (79.25 m) length of size 4 AWG uncoated copper wire operating at a tem-
Murljashka [212]

A 260 ft (79.25m) length of size 4 AWG uncoated copper wire operating at a temperature of 75°c has a resistance of 0.0792 ohm.

Explanation:

From the given data the area of size 4 AWG of the code is 21.2 mm², then K is the Resistivity of the material at 75°c is taken as ( 0.0214 ohm mm²/m ).

To find the resistance of 260 ft (79.25 m) of size 4 AWG,

R= K * L/ A

K = 0.0214 ohm mm²/m

L = 79.25 m

A = 21.2 mm²

R = 0.0214 * \frac{79.25}{21.2}

  = 0.0214 * 3.738

  = 0.0792 ohm.

Thus the resistance of uncoated copper wire is 0.0792 ohm

5 0
3 years ago
Whats the pros about being in the army
Cerrena [4.2K]

Answer:

Benefits that last a lifetime. The Army offers you money for education, comprehensive health care, generous vacation time, family services and support groups, special pay and cash allowances to cover the cost of living.

8 0
3 years ago
What happens to the odometer reading when a car drives beyond its maximum reading?
Olin [163]
The odometer keeps running after you move beyond its upper limit, but the largest place values cannot be displayed due to overflow error.
8 0
2 years ago
Other questions:
  • The 30-kg gear is subjected to a force of P=(20t)N where t is in seconds. Determine the angular velocity of the gear at t=4s sta
    9·1 answer
  • Compute the fundamental natural frequency of the transverse vibration of a uniform beam of rectanqular cross section, with one e
    11·2 answers
  • Why does the auto industry prefer uniform (national) standards for automobile emissions as opposed to regionally varying standar
    11·1 answer
  • A carbon resistor has a resistance of 976 ohms at 0 degrees C. Determine its resistance at 89 degrees C​
    6·1 answer
  • The ________________ attraction between the Earth and the moon is ______________ on the side of the Earth that happens to be ___
    5·1 answer
  • In order to be a Mechanical Engineer, you need to:
    5·2 answers
  • To provide some perspective on the dimensions of atomic defects, consider a metal specimen that has a dislocation density of 105
    6·1 answer
  • The volume of the pyramid is 36 cubic cm, find the volume of the prism.
    5·1 answer
  • A TV USE 75 WATTS WHILE IN USED ASSMING THAT ITIS USED 4 HOURS EVERY DAY HOW MUCH ENERGY IN 4 IN KWH WOULD THE TV CONSUME ANNUAL
    13·2 answers
  • What is the mode of operation of a ramp digital voltimeter​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!