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
kotykmax [81]
3 years ago
14

Students in an introductory physics lab are performing an experiment with a parallel-plate capacitor made of two circular alumin

um plates, each 21 cm in diameter, separated by 1.0 cm. How much charge can be added to each of the plates before a spark jumps between the two plates? For such flat electrodes, assume that value of 3×106N/C of the field causes a spark.
Physics
1 answer:
Zarrin [17]3 years ago
4 0

Answer:

\rm 9.186\times 10^{-7}\ C.

Explanation:

<u>Given:</u>

  • Diameter of the plates of the capacitor, D = 21 cm = 0.21 m.
  • Distance of separation between the plates, d = 1.0 cm = 0.01 m.
  • Minimum value of electric field that produces spark, \rm E=3\times 10^6\ N/C.

When the dimensions of the plate of the capacitor is comparatively much larger than the distance of separation between the plates, then, according to the Gauss' law of electrostatics, the value of the electric field strength in the region between the plates of the capacitor is given by

\rm E=\dfrac{\sigma}{\epsilon_o}.

where,

  • \rm \sigma = surface charge density of the plate of the capacitor = \dfrac qA.
  • \rm q = magnitude of the charge on each of the plate.
  • \rm A = surface area of each of the plate =\rm \pi \times (Radius)^2=\pi \times\left ( \dfrac{D}{2}\right )^2= \pi \times \left ( \dfrac{0.21}{2}\right )^2=3.46\times 10^{-2}\ m^2.
  • \epsilon_o = electrical permittivity of free space, having value = 8.85\times 10^{-12}\rm \ C^2N^{-1}m^{-2}.

For the minimum value of electric field that produces spark,

\rm E = \dfrac{q}{A\epsilon_o}\\\Rightarrow q = E\ A\epsilon_o\\=3\times 10^6\times 3.46\times 10^{-2}\times 8.85\times 10^{-12}\\=9.186\times 10^{-7}\ C.

It is the maximum value of the magnitude of charge which can be added up to each of the plates of the capacitor.

You might be interested in
The data table for the decomposition reaction of hydrogen peroxide H2 O2 shows how the reaction rate changes over time which sta
DedPeter [7]

I believe the answer is A.

4 0
3 years ago
Read 2 more answers
Is the following true or false?
pychu [463]
True, recycling allows products to be reused which saves alot the natural resources that are used.
6 0
3 years ago
Read 2 more answers
* THE ANSWER IS D * Silicon (chemical symbol Si) is located in Group 14, Period 3. Which is silicon most likely
o-na [289]

Answer:

Hank u so much out don't know how much this rally

Explanation:

4 0
3 years ago
Read 2 more answers
A boat sails along the shore. To an observer, the boat appears to move at a speed of 22 m/s, and a man on the boat walking forwa
seropon [69]
The boat is moving at 22 m/s while the man is moving at 23.1 m/s.

That means the man, relative to the boat, is moving at 23.1-22 = 1.1 m/s.

v =d/t, so t = d/v --> t = 3/1.1 = 2.7 s
7 0
3 years ago
if the instantaneous current in the circuit is giveen by I=3 sin theta amperes, the rms value of the current will be
Kisachek [45]

Answer:

I_{rms}=2.12\ A

Explanation:

Given that,

The instantaneous current in the circuit is giveen by :

I=3\sin\theta\ A

We need to find the rms value of the current.

The general equation of current is given by :

I=I_o\sin\theta

It means, I_o=3\ A

We know that,

I_{rms}=\dfrac{I_o}{\sqrt2}\\\\=\dfrac{3}{\sqrt2}\\\\=2.12\ A

So, the rms value of current is 2.12 A.

4 0
3 years ago
Other questions:
  • A boat in a race accelerates uniformly at 0.2 m/s² for 18 seconds to reach a final speed of 6 m/s. Work out the initial speed of
    14·1 answer
  • Adam takes a bus on a school field trip. The bus route is split into the five legs listed in the table. Find the average velocit
    10·1 answer
  • A family pool holds 10,000 gallons of water how many cubic meters is this
    13·2 answers
  • A runner changing speed from 3 meters per second to 5 meters per second is an example of
    12·1 answer
  • Find the density, in g/cm3, of a metal cube with a mass of 50.3 g and an edge length (l) of 2.65 cm. the volume (v) of a cube is
    14·1 answer
  • A train whistle is heard at 350 Hz as the train approaches town. The train cuts its speed in half as it nears the station, and t
    11·1 answer
  • How much kinetic energy does a moving 6 kg object have If It moves with a velocity of<br> 3 m/s?
    5·1 answer
  • Suppose the solar nebula had cooled much more before the solar wind cleared away the remaining gas. In that case, the terrestria
    9·1 answer
  • A simple pendulum takes 2.00 s to make one compete swing. If we now triple the length, how long will it take for one complete sw
    11·1 answer
  • What radiation gets through the atmosphere?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!