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
Rama09 [41]
3 years ago
10

Two parallel plate capacitors 1 and 2 are identical except that capacitor 1 has charge +q on one plate and charge −q on the othe

r, and capacitor 2 has charge +2q on one plate and −2q on the other. Compare these two capacitors based on their (a) capacitance, (b) potential difference between the plates, (c) electric field magnitude between the plates,(d) energy stored.
Physics
1 answer:
Grace [21]3 years ago
4 0

Answer:

a) the capacitance is the same for both capacitors.

b) The potential difference between the plates for the capacitor with charge +2q, is double of the one for the capacitor  with charge +q.

c) The electric field magnitude between the plates for the capacitor with charge +2q, is double of the one for the capacitor with charge +q

d) The energy stored between the plates for the capacitor with charge +2q, is 4 times the value for the one with charge +q  

Explanation:

a) The capacitance of a capacitor, by definition, is as follows:

C = \frac{q}{V}

Appying Gauss' Law to one of plates, it can be showed, that the capacitance (for a parallel plates capacitor) can be  expressed as follows:

C = ε*A / d

As it can be seen, it does not depend on the charge. so we conclude that the capacitance must be the same for both capacitors, due to they are identical except for the value of the charge on the plates.

b) By definition, as we said above, the capacitance is equal to the proportion between the charge of one of the plates, and the potential difference between them.

If this proportion must remain the same, and one of the capacitors has the double of  the charge than the other, the potential difference must be the double also.

c) Applying Gauss' law, to the surface of one of  the plates, and assuming a constant surface charge density σ, it can be  showed that the  electric field can be calculated as follows:

E*A = Q/ε₀ as σ=Q/A

⇒ E = σ/ε₀

As σ is directly proportional to the charge (being the area A the same), we conclude that the electric field for the capacitor with charge +2q must be the double than the one for the capacitior with charge +q.

c) The electric potential energy, stored between plates of a capacitor, can be written as follows:

Ue = \frac{1}{2} *\frac{q^{2}}{C}

If the capacitance remains the same, we can conclude that the electric potential energy for the capacitor with charge +2q, as the charge is raised to the 2nd power, must be 4 times the one for the capacitor with charge +q.

You might be interested in
Globalization concerns many workers because ________.
Cloud [144]
Globalization concerns many workers because companies will tend to seek lower costs by outsourcing labor.
6 0
3 years ago
Read 2 more answers
The shape of the earth is an _______ ________
Nastasia [14]
The shape of the earth is an <span>oblate spheroid.</span>
3 0
3 years ago
Starting from zero, an electric current is established in a circuit made of a battery of emf E, a resistor of resistance R and a
igor_vitrenko [27]

Answer:

time constant will decrease and steady state current will decrease on increasing the resistance

Explanation:

As we know that the EMF of cell is E which is used to connected across a resistor and an inductor.

So we will have

E - iR - L\frac{di}{dt} = 0

here we know that

i = \frac{E}{R}(1 - e^{-Rt/L})

now here we have

\tau = \frac{L}{R}

so if we increase the value of resistance of the wire then the time constant will decrease

and hence it will take less time to reach near the steady state value

also the steady state current will be smaller in that case

8 0
3 years ago
Which is greater the attraction of the earth for 1 kg of aluminum or aluminum or attraction of 1kg of aluminum for the earth?
OleMash [197]
Those forces are exactly equal.

Gravity always works as a pair of <em>EQUAL</em> forces ... one in each direction
between two masses.  Your weight on the Earth is exactly the same as
the Earth's weight on you.
8 0
3 years ago
Label the producers and consumers, then label the different types of consumers.
sdas [7]
The base of the pyramid has the producers and everything else above the base falls under the consumers category i.e the locusts,frogs and the snake. The grass is the producer, the locust is a consumer, the frog is a special type of omnivore, termed the "life-history omnivore" since they eat both plants and animals but at different times in their lives. In this case they are just omnivores and lastly, the snake is a carnivore.
3 0
3 years ago
Other questions:
  • imagine that a tank is filled with water the hight of the liquid column is 7 meters and the area is 1.5 sq meters (m™). what's t
    14·1 answer
  • A scientist finds an unusual object and decides to study it. Which observation indicates that it is a living thing that is multi
    5·2 answers
  • Which of the preceding statements is/are true?A) Helioseismology is the study of the differential rotation and magnetic field of
    5·1 answer
  • A 2-inch, f/6 telescope has a 3-inch eyepiece focal. Its magnifying power is:
    9·1 answer
  • Suppose the truck that’s transporting the box In Example 6.10 (p. 150) is driving at a constant speed and then brakes and slows
    15·1 answer
  • How are we able to break wire by repeated bending​
    15·2 answers
  • Suppose you take a trip that covers 240 km and takes 3 hours to make. Your average speed is?
    8·2 answers
  • Help uhh i need to know this answer
    12·1 answer
  • Which type of mass movement is likely to result in considerable property damage, but rarely causes loss of life? a. debris avala
    15·1 answer
  • Which two statements are true of electromagnetic waves?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!