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
timama [110]
3 years ago
11

A 1.0μF capacitor with an initial stored energy of 0.50 J is discharged through a 1.0MΩ resistor. (a) What is the initial charge

on the capacitor? (b) What is the current through the resistor when the discharge starts? Find an expression that gives, as a function of time t, (c) the potential difference V C ​ across the capacitor, (d) the potential difference V R ​ across the resistor, and (e) the rate at which thermal energy is produced in the resistor.
Physics
1 answer:
irina1246 [14]3 years ago
4 0

Answer:

A) q_o = 0.001 C

B) I = 0.001•e^(-t)

C) V_c = 1000e^(-t)

D) V_r = 1000e^(-t)

E) P = e^(-2t) watts

Explanation:

A) We are given;

Initial stored energy; U_o = 0.5 J

Capacitance; C = 1.0μF = 1 × 10^(-6) F

To find the charge, we will use the formula for energy in capacitors which is given by;

U = q²/2C

Thus, since we are dealing with initial energy, U is U_o and q is q_o

Making q the subject, we have;

q_o = √2CU_o

q_o = √(2 × 1 × 10^(-6) × 0.5)

q_o = 0.001 C

B) The charge as a function of time is expressed as;

q = q_o•e^(-t/RC)

Now the current is gotten by differentiating the charge function. Thus;

I = (q_o/RC)•e^(-t/RC)

Where;

R is Resistance = 1.0MΩ = 1 × 10^(6) Ω

C is capacitance = 1 × 10^(-6) F

(q_o/RC) is the initial current = 0.001/(1 × 10^(6) × 1 × 10^(-6))

(q_o/RC) = 0.001 A

Thus;

I = 0.001•e^(-t/(1 × 10^(6) × 1 × 10^(-6)))

I = 0.001•e^(-t)

C) Formula for potential difference across the capacitor is;

V_c = IR

I = 0.001•e^(-t)

R = 1 × 10^(6) Ω

Thus;

V_c = 1 × 10^(6) × 0.001•e^(-t)

V_c = 1000e^(-t)

D) Potential difference across the resistor will be the same as that across the capacitor because the resistor is connected in parallel to the capacitor.

Thus;

V_r = V_c = 1000e^(-t)

E) rate at which thermal energy is produced is basically the power.

Thus;

P = (V_r)²/R

P = (1000²e^(-2t))/1 × 10^(6)

P = e^(-2t) watts

You might be interested in
During which change of state would the volume of a aubstance increase the most ?
wel
The answer is D. Sublimation, because it has change of state it has a volume of a substances it increase the most.
6 0
3 years ago
Efficincy of simple machine is 60% what does it mean?<br>​
umka2103 [35]

Explanation:

By the statement, Efficiency of a machine is 60% it is meant that 'The work output is 60% of the work input'. If you apply 100J of energy for a machine, it will be able to life load of 60 J only

7 0
2 years ago
How do you explain this arrangement of fossils? What might have happened?
e-lub [12.9K]

Answer:

The question lacks a photo to fully answer correctly

If the fossil has its neck bent backwards towards its back, that is the common way to which dinosaurs died.

If the fossil is scattered a bit from its other linking fossil pieces, than it is most likely that the dinosaur was a meal to a predator.

Fossils that are in array but are divided clearly at a section suggests that land moved. Possibly earthquake or Pangea took place.

6 0
2 years ago
You apply a force of 18 N to a dresser and move it 3.0 m. How much work did you do on the dresser?
charle [14.2K]

Answer:

54 J

Explanation:

Work done = force * displacement

                  = 18 *3

                  = 54 J

7 0
3 years ago
What energy transformations take place when you turn on a fan?
Snezhnost [94]

Answer:

Electrical energy to kinetic energy

Explanation:

The transformation that occurs when turning on a fan is electrical energy to kinetic energy.

8 0
2 years ago
Other questions:
  • A body moving with a velocity of 20m/s begins to accelerate at 3 m/s 2 . How far does the body move in 3 seconds
    8·1 answer
  • Volume of an block is 5 cm3. If the density of the block is 250 g/cm3, what is the mass of the block ?​
    12·1 answer
  • The change in electric potential energy per unit charge is
    9·2 answers
  • The earth is warmed by solar energy how is this energy transferred from the sun to the earth
    15·1 answer
  • Help please am stuck
    9·1 answer
  • What happens when water is heated for long?​
    7·1 answer
  • Calculate the force between charges of 55 × 108 C and 1 × 107C if they are 5 <br><br>cm apart.?​
    13·1 answer
  • To what does the amplitude of a sound refer to?
    12·1 answer
  • What are two factors<br> affecting friction? How do<br> they affect friction?<br> ch
    6·1 answer
  • Why is pseudoscience bad?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!