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
Ilya [14]
3 years ago
9

Consider a series LRC-circuit in which C 120.0uF. When driven at a frequency w 200.0 rads the complex impedance is given by Z (1

00.0-j10.0) 2. (a) Calculate (i) the reactances X, and Xc of the circuit at w200.0 rads-1, (ii) the inductance of the circuit. (b) Calculate the resonant angular frequency of the circuit. Hence, calculate the driving frequencies for which the average power in the circuit is half the reso- nant power. [Hint: the solutions to the quadratic formula: ax2 + bx + c = 0 are given by: bt - 4ac)/2a
Physics
1 answer:
solong [7]3 years ago
4 0

Answer:

X = -10 ohms

Xc = 41.7  ohms

L = 160 mH

w resonant = 228 rad/s

Explanation:

The reactance is the imaginary component of the impedance:

X = -10 ohms

The reactance is composed of the capacitive and inductive reactances:

X = Xl - Xc

The capacitive reactance depends on the capacitance and frequency

Xc = \frac{1}{w * C} = \frac{1}{200 * 120e-6} = 41.7 ohms

And the indcutive reactance is:

Xl = X + Xc = -10 + 41.7 = 31.7 ohms

Since inductive reactance depends on frequency and inductance

Xl = w * L

We can rearrange:

L = \frac{Xl}{w} = \frac{31.7}{200} = 0.16 Henry = 160 mH

For the circuit to resonate X must be 0, so Xl = Xc

0 = Xl - Xc

1 = w * L - \frac{1}{w * C}

0 = w^2 * L - \frac{1}{C}

w^2 * L = \frac{1}{C}

w^2 = \frac{1}{L * C}

w = \frac{1}{\sqrt{L * C}} = \frac{1}{\sqrt{0.16 * 0.00012}} = 228 rad/s

You might be interested in
A cylindrical rod of copper (E = 110 GPa, 16 × 106 psi) having a yield strength of 240 MPa (35,000 psi) is to be subjected to a
Fynjy0 [20]

Answer:

d= 7.32 mm

Explanation:

Given that

E= 110 GPa

σ = 240 MPa

P= 6640 N

L= 370 mm

ΔL = 0.53

Area A= πr²

We know that  elongation due to load given as

\Delta L=\dfrac{PL}{AE}

A=\dfrac{PL}{\Delta LE}

A=\dfrac{6640\times 370}{0.53\times 110\times 10^3}

A= 42.14 mm²

πr² = 42.14 mm²

r=3.66 mm

diameter ,d= 2r

d= 7.32 mm

4 0
3 years ago
Read 2 more answers
PLS GIVE RIGHT ANSWER<br> I GIVE UP<br> YOU WILL GET 100 PTS or MORE
Maurinko [17]

Answer:

it is in explanation part

Explanation:

9

7

3

2

5

8

1

11

14

12

13

7 0
2 years ago
a bag of cement is pulled along a horizontal plane by a constant force of 15n calculate the work done in moving the bag through
morpeh [17]

Answer:

300J

Explanation:

Given parameters:

Constant force = 15N

Distance  = 20m

Unknown:

Work done   = ?

Solution:

Work done is the force applied to move a body through a particular distance.

 Work done  = Force x distance

 So;

  Work done  = 15 x 20  = 300J

4 0
3 years ago
Does the sabre-tooth currirulum still exist at present?give examples of your evidence​
ira [324]

Answer:

The name me brainliest!

Explanation:

YES the saber tooth curriculum still exist!

The Saber-Tooth Curriculum recounts how a Paleolithic school curriculum became obsolete when the Ice Age came. ... Through his satire, Pediwell argued for the idea of learning to learn (or at least flexible and transferable Neolithic skills) as an important dimension of any curriculum

3 0
3 years ago
Read 2 more answers
Martha studies all the kinds of leaves she can find in order to understand what leaves have in common. Martha's research is empl
SOVA2 [1]
Martha studies all the kinds of leaves she can find in order to understand what leaves have in common . Martha's research is employing B. INDUCTIVE reasoning. 
5 0
4 years ago
Read 2 more answers
Other questions:
  • How do land and sea breeze work?
    6·1 answer
  • Which of the following are metric units? gallons kilograms pounds inches
    14·2 answers
  • Electrons are what ???
    13·1 answer
  • How is meiosis like binary fission?​
    8·1 answer
  • Microwaves have a _________wavelength and _________frequency than radio waves.
    12·2 answers
  • How much force is needed to stop a 80 kg football player if he decelerates at 5m/s?
    9·1 answer
  • If car A is at 47 km/h and car B is at 62 km/h in the opposite direction,
    15·1 answer
  • What are the two factors affect the weight of an object?
    10·1 answer
  • In a neutral atom, the number of electrons equals the number of what other part?
    15·1 answer
  • Trata de que bobo 1 2 3
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!