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
nata0808 [166]
3 years ago
6

A series RLC circuit has a resonant frequency = 6.00 kHz. When it is driven at a frequency = 8.00 kHz, it has an

Physics
1 answer:
ANEK [815]3 years ago
7 0

The resistance (R) of the circuit is 707.1 ohms and the inductance (L) is 0.032 H.

<h3>Resistance of the circuit</h3>

For the phase constant of 45⁰, impedance is equal to the resistance of the circuit.

Z= R\sqrt{2} \\\\R  = \frac{Z}{\sqrt{2} } \\\\R = \frac{1000}{\sqrt{2} } = 707.1 \ ohms

<h3>Resonant frequency</h3>

f = \frac{1}{2\pi \sqrt{LC} } \\\\6000 = \frac{1}{2\pi \sqrt{LC} } \\\\2\pi(6000) = \frac{1}{\sqrt{LC} } \\\\\sqrt{LC} = \frac{1}{2\pi (6000)} \\\\LC = (\frac{1}{2\pi (6000)})^2\\\\LC = 7.034 \times 10^{-10} \\\\ C = \frac{7.034 \times 10^{-10} }{L} ---(1)

<h3>At driven frequency</h3>

X_l- X_c = R\\\\\omega L - \frac{1}{\omega C}  = 707.1\\\\2\pi f L -  \frac{1}{2\pi fC} = 707.1\\\\2\pi (8000) L - \frac{1}{2\pi (8000) C } = 707.1\ \ --(2)\\\\

<em>solve 1 and 2 together</em>

2\pi(8000) L - \frac{L}{2\pi (8000)(7.034 \times 10^{-10})} = 707.1\\\\50272L - 28279.48L = 707.1\\\\L = 0.032 \ H

Learn more about impedance of RLC circuit here: brainly.com/question/372577

You might be interested in
Importance of a cell​
Anika [276]

Explanation:

Cells are the basic building blocks of all living things. The human body is composed of trillions of cells. They provide structure for the body, take in nutrients from food, convert those nutrients into energy, and carry out specialized functions.

3 0
3 years ago
As the Moon orbits Earth, its direction constantly changes. Which of these forces is most likely causing this change in velocity
zysi [14]
Gravity is the most likely force causing this phenomenon. please leave a thanks
8 0
3 years ago
14. The resistance of dry human skin is about 500,000 ohms and wet,
Taya2010 [7]

Answer:

current is equal to V/R

Explanation:

I = 9/1000A

9 \times 10 ^{ - 3}

4 0
3 years ago
Which statement correctly describes the reactivity of noble gases, according to the octet rule? Their atoms have eight electrons
Kipish [7]

Answer:

The correct option is : Their atoms have eight electrons in their valence shells, so noble gases are very unreactive.

Explanation:

The octet rule state that atoms tend to complete their last energy levels with eight electrons, and that this configuration make them very stable and unreactive.

Noble gases are characterized as unreactive atoms, and this is associated with the fact that they have a complete valence shell, it means that they have eight electrons on it (they follow the octet rule).

Atoms with less electrons on their valence shells tend to react with another atom, forming bonds, to complete their valence shells (with eight electrons).

5 0
3 years ago
Will mark brainliest.
egoroff_w [7]

Answer:

pls can you get a clearer image, then u can report back to me

6 0
3 years ago
Other questions:
  • The battery for a certain cell phone is rated at 3.70 V. According to the manufacturer it can produce math]3.15 \times 10^{4} J[
    9·1 answer
  • What two forces are there when you skydive
    6·2 answers
  • Scientist have measured that the vibrations of an earthquake travel faster through solid rocks in the Earth and slower in the li
    6·1 answer
  • Without the wheels, a bicycle frame has a mass of 8.29 kg. Each of the wheels can be roughly modeled as a uniform solid disk wit
    13·1 answer
  • The law of universal gravitation states that a gravitational force exists between all objects in the universe. This force is dir
    5·1 answer
  • A wagon full of manure accidentally rolls down a driveway for 5.0m while a person pushes against the wagon with a force of 420 N
    14·2 answers
  • When we say "muscle" - the ones that show how strong you are, we are referring to what kind of muscles?
    11·2 answers
  • Which wave interaction is responsible for echoes?
    15·2 answers
  • Write a short note on convection of heat<br><br>I will give brainlist ​
    12·1 answer
  • What happens in each of freud's stages?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!