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
pshichka [43]
2 years ago
11

series RC circuit is built with a 15 kΩ resistor and a parallel-plate capacitor with 18-cm-diameter electrodes. A 18 V, 36 kHz s

ource drives a peak current of 0.65 mA through the circuit. Part A What is the spacing between the capacitor plates?
Physics
1 answer:
andre [41]2 years ago
8 0

Answer:

d=1.84\ mm

Explanation:

<u>Capacitance</u>

A two parallel-plate capacitor has a capacitance of

\displaystyle C=\frac{\epsilon_o A}{d}

where

\epsilon_o=8.85\cdot 10^{-12}\ F/m

A = area of the plates = \pi r^2

d = separation of the plates

\displaystyle d=\frac{\epsilon_o A}{C}=\frac{\epsilon_o \pi r^2}{C}

We need to compute C. We'll use the circuit parameters for that. The reactance of a capacitor is given by

\displaystyle X_c=\frac{1}{wC}

where w is the angular frequency

w=2\pi f=2\pi \cdot 36000=226194.67\ rad/s

Solving for C

\displaystyle C=\frac{1}{wX_c}

The reactance can be found knowing the total impedance of the circuit:

Z^2=R^2+X_c^2

Where R is the resistance, R=15 K\Omega=15000\Omega. Solving for Xc

X_c^2=Z^2-R^2

The magnitude of the impedance is computed as the ratio of the rms voltage and rms current

\displaystyle Z=\frac{V}{I}

The rms current is the peak current Ip divided by \sqrt{2}, thus

\displaystyle Z=\frac{\sqrt{2}V}{I_p}

I_p=0.65\ mA/1000=0.00065\ A

Now collect formulas

\displaystyle X_c^2=Z^2-R^2=\left(\frac{\sqrt{2}V}{I_p}\right)^2-R^2

Or, equivalently

\displaystyle X_c=\sqrt{\frac{2V^2}{I_p^2}-R^2}

\displaystyle X_c=\sqrt{\frac{2\cdot 18^2}{0.00065^2}-15000^2}

X_c=36176.34\ \Omega

The capacitance is now

\displaystyle C=\frac{1}{226194.67\cdot 36176.34}=1.22\cdot 10^{-10}\ F

The radius of the plates is

r=18\ cm/2=9 \ cm = 0.09 \ m

The separation between the plates is

\displaystyle d=\frac{8.85\cdot 10^{-12} \cdot \pi\cdot 0.09^2}{1.22\cdot 10^{-10}}

d=0.00184\ m

\boxed{d=1.84\ mm}

You might be interested in
With its wheels locked, a van slides down a hill inclined at 40.0° to the horizonta l. Find the acceleration of this van A) if t
andreyandreev [35.5K]

Answer:

Explanation:

Check attachment for solution

7 0
3 years ago
Determine the acceleration that results when a 12 N net force is applied to a 3 kg object.
Drupady [299]
A I hope it helpsss youuu ;:))))
8 0
3 years ago
Why is a biome an open system?
Rasek [7]
Biome is an open system because energy and matter are constantly being transferred in and out.
 

i hope this helped you..

:)

5 0
2 years ago
Why do electrons transfer charge and not protons?
mel-nik [20]
<h2>Answer:Protons interact in ways that electrons do not. ... Electrons are not affected by the strong force, and so they only get trapped by the electrical attraction to the nucleus which is much weaker in ionized atoms.</h2><h2 /><h2>Explanation:Therefore it is easier for electrons to move away from one atom to another, transferring charge.</h2>

3 0
3 years ago
Define a dipole. Hence, write the expression for calculating the electric moment of a dipole​
Aleksandr-060686 [28]

Answer:

Explanation:

An electric dipole is formed by two point charges +q and −q connected by a vector a. The electric dipole moment is defined as p = qa

4 0
1 year ago
Other questions:
  • A friend is making vegetable soup. he add some salt to the simmering broth. the salt dissolves, and your friend says the broth s
    12·1 answer
  • A 2.00-kg object is attached to a spring and placed on a frictionless, horizontal surface. A horizontal force of 20.0 N is requi
    5·1 answer
  • A 5-kg object slides down a frictionless surface inclined at an angle of 30º from the horizontal. The total distance moved by th
    6·1 answer
  • Which of the following are likely to form a covalent bond?
    15·2 answers
  • you and your friend each drive 70 miles you drive 60 miles/hour and your friend. drives 55 miles / hour how much sonner will you
    15·1 answer
  • The rate at which velocity changes is called
    11·1 answer
  • The pilot of an airplane reads the altitude 6400 m and the absolute pressure 46 kPa when flying over a city. Calculate the local
    14·1 answer
  • Which of the following is not a compound <br> A. Gold <br> B. Water<br> C. Salt<br> D. Sugar
    13·1 answer
  • What is the potential energy of a 20-kg safe sitting on a shelf 0.5 meters
    10·1 answer
  • A 5 kg object moving to the right at 4 m/s collides inelastically with a 5 kg object
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!