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
Damm [24]
3 years ago
6

In an RLC series circuit that includes a source of alternating current operating at fixed frequency and voltage, the resistance

R is equal to the inductive reactance. If the plate separation of the parallel-plate capacitor is reduced to one-third its original value, the current in the circuit triples. Find the initial capacitive reactance in terms of R
Physics
1 answer:
maw [93]3 years ago
6 0

Answer:

Capacitive Reactance is 4 times of resistance

Solution:

As per the question:

R = X_{L} = j\omega L = 2\pi fL

where

R = resistance

X_{L} = Inductive Reactance

f = fixed frequency

Now,

For a parallel plate capacitor, capacitance, C:

C = \frac{\epsilon_{o}A}{x}

where

x = separation between the parallel plates

Thus

C ∝ \frac{1}{x}

Now, if the distance reduces to one-third:

Capacitance becomes 3 times of the initial capacitace, i.e., x' = 3x, then C' = 3C and hence Current, I becomes 3I.

Also,

Z = \sqrt{R^{2} + (X_{L} - X_{C})^{2}}

Also,

Z ∝ I

Therefore,

\frac{Z}{I} = \frac{Z'}{I'}

\frac{\sqrt{R^{2} + (R - X_{C})^{2}}}{3I} = \frac{\sqrt{R^{2} + (R - \frac{X_{C}}{3})^{2}}}{I}

{R^{2} + (R - X_{C})^{2}} = 9({R^{2} + (R - \frac{X_{C}}{3})^{2}})

{R^{2} + R^{2} + X_{C}^{2} - 2RX_{C} = 9({R^{2} + R^{2} + \frac{X_{C}^{2}}{9} - 2RX_{C})

Solving the above eqn:

X_{C} = 4R

You might be interested in
What is the main source of energy
jolli1 [7]
Sun is the main source of energy
8 0
3 years ago
Read 2 more answers
How does emission spectra occur?
Lerok [7]

The frequencies of light that an atom can emit are dependent on states the electrons can be in. When excited, an electron moves to a higher energy level or orbital. When the electron falls back to its ground level the light is emitted.

hope this helped:)

mark brainliest

4 0
3 years ago
Two separate but nearby coils are mounted along the same axis. A power supply controls the flow of current in the first coil, an
Anit [1.1K]

Answer:

b.only when the current in the first coil changes.

Explanation:

An induced current flow in the second coil only when there is a change in current in the first cool. A steady current will produce no change in flux (due to magnetic effect of a current) by the first coil, and according to Faraday, induced current is only produced when there is a change in flux linkage.

8 0
3 years ago
A 388 Hz tuning fork is resonating in a closed tube on a warm day when the speed of sound is 346 m/s. What is the length of the
Marizza181 [45]

Answer:

A

Explanation:

because u are subtracting if this is from flvs that is what i did and it was right

5 0
3 years ago
Read 2 more answers
What does each letter stand for in the formula p=v x i?
Nataly_w [17]
I only know P and V and P is pressure and V is volume 
6 0
3 years ago
Other questions:
  • Relative to the distance of an object in front of a plane mirror, how far behind the mirror is the image?
    7·1 answer
  • Is a darter a consumer?
    13·1 answer
  • when an object moves down and does not stop which force is acting more strongly on the object, friction or gravity? explain
    13·1 answer
  • A sound wave in a steel rail has a frequency of 620 hz and a wavelength of 10.5m. What is the speed of sound in steel?
    8·1 answer
  • Read the following characteristics of stars and choose the one that is correct. plz help quickly
    8·1 answer
  • An acceleration of a freely falling body (9.8m/s^2) to ft/s^2
    13·1 answer
  • Why was the st valentine's day massacre important? And why are students studying this case?
    14·1 answer
  • Texas has 4,015,000 beef cows in 2013. If one cow produced approx 209g of methane per day. How much methane was produced by the
    10·1 answer
  • Which is NOT an effect of friction?
    12·1 answer
  • Forces come in pairs. What are these pairs called?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!