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
Veronika [31]
3 years ago
11

There is given an ideal capacitor with two plates at a distance of 3 mm. The capacitor is connected to a voltage source with 12

V until it is loaded completely. Then the capacitor is disconnected from the voltage source. After this the two plates of the capacitor are driven apart until their distance is 5 mm. Now a positive test charge of 1 nC is brought from the positively charged plate to the negatively charges plate. How large is the kinetic energy of the test charge? The test charge of 1 nC can be regarded to be so small that it does not influence the electric field between the two plates of the capacitor.
Physics
1 answer:
Licemer1 [7]3 years ago
3 0

The kinematic energy of the positive charge is 2 10⁻⁸ J

This electrostatics exercise must be done in parts, the first part: let's start by finding the charge of the capacitor, the capacitance is defined by

        C = \frac{Q}{\Delta V}

        C = ε₀ \frac{A}{d}

we solve for the charge (Q)

        \frac{Q}{\Delta V} = \epsilon_o \frac{A}{d}

indicates that for the initial point d₁ = 3 mm = 0.003 m and the voltage is DV₁ = 12

         Q = \epsilon_o \  \frac{A \ \Delta V_1 }{d_1}

Now the voltage source is disconnected so the charge remains constant across the ideal capacitor.

For the second part, the condenser is separated at d₂ = 5mm = 0.005 m

         Q = \epsilon_o \  \frac{A \ \Delta V_2 }{d_2}

we match the expressions of the charge and look for the voltage

          \frac{\Delta V_1}{d_1} = \frac{\Delta V_2}{d_2}

          ΔV₂ = \frac{d_2}{d_1 } \ \Delta V_1

The third part we use the concepts of conservation of energy

starting point. With the test load (q = 1 nC = 1 10⁻⁹ C) next to the left plate

          Em₀ = U = q DV₂

          Em₀ = q  \frac{d_2}{d_1 } \ \Delta V_1

           

final point. Proof load on the right plate

         Em_f = K

energy is conserved

         Em₀ = em_f

         q  \frac{d_2}{d_1 } \ \Delta V_1 = K

   

we calculate

         K = 1 10⁻⁹  12  \frac{0.005}{0.003}  

         K = 20 10⁻⁹ J

In this exercise, as the conditions at two different points of separation give, the area of ​​the condenser is not necessary and with conservation of energy we find the final kinetic energy of 2 10⁻⁸ J

You might be interested in
Examples of field force
Sindrei [870]
Here are some examples of field force:
1. <span>1) electrostatic force of attraction or repulsion on a charged particle in an electric field
2. </span><span>) magnetic force on charged particles moving at right angles with a magnetic field. Magnetic force also affects magnetic poles.


I hope this helps. </span>
7 0
3 years ago
• What value is used to identify each element in the periodic table?​
bearhunter [10]

Answer:

protons

Explanation:

5 0
3 years ago
two-point charges are 10.0 cm apart and have charges of 2.0 uc and -2.0uc respectively What is the magnitude of the electrical f
Scorpion4ik [409]

Answer:

Electric field due to two charges is given as

E = 1.44 \times 10^7 N/C

Explanation:

As we know that two charges are opposite in nature

So the electric field at the mid point of two charges will add together

so the net field is given as

E = 2\frac{kq}{r^2}

now we have

q = 2\times 10^{-6} C

r = 5 cm = 0.05 m

now we have

E = 2\frac{(9\times 10^9)(2\times 10^{-6})}{0.05^2}

E = 1.44 \times 10^7 N/C

6 0
3 years ago
2) Um gás ideal sofre uma determinada transformação, conforme mostra o gráfico abaixo. Considere
Roman55 [17]

Answer:

yes

Explanation:

5 0
3 years ago
a watermelon is balanced by a dog, a pumpkin, a flowerpot, and a baseball as shown below. Is the weight of the watermelon equal
alukav5142 [94]

Answer:

pumpkin

Explanation:

watermelon and pumpkins are close to shape and size

6 0
3 years ago
Read 2 more answers
Other questions:
  • True or false ??
    10·2 answers
  • I need help with air resistance...
    15·1 answer
  • HELP ASAP PLEASE NEED HELP
    7·2 answers
  • Which term describes the second personality seen in a person with dissociative identity disorder (DID)?
    6·2 answers
  • My Notes A flat loop of wire consisting of a single turn of cross-sectional area 7.80 cm2 is perpendicular to a magnetic field t
    10·1 answer
  • Mac and Tosh are arguing in the cafeteria. Mac says that if he flings the Jell-O with a greater speed it will have a greater ine
    13·1 answer
  • Scientists in a test lab are testing the hardness of a surface before constructing a building. Calculations indicate that the en
    8·1 answer
  • Convert 15 centimeters to inches.
    5·1 answer
  • Pls answer ....................................
    5·1 answer
  • This table shows statistics about the US population in 2010. Which demographic trend does this table best support? People are ma
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!