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
DanielleElmas [232]
3 years ago
5

A circuit contains an EMF source, a resistor R, a capacitor C, and an open switch in series. The capacitor initially carries zer

o charge. How long after the switch is closed will it take the capacitor to reach 2/3 its maximum charge?
Physics
1 answer:
Flura [38]3 years ago
6 0

Answer:

t = 1.098*RC

Explanation:

In order to calculate the time that the capacitor takes to reach 2/3 of its maximum charge, you use the following formula for the charge of the capacitor:

Q=Q_{max}[1-e^{-\frac{t}{RC}}]         (1)

Qmax: maximum charge capacity of the capacitor

t: time

R: resistor of the circuit

C: capacitance of the circuit

When the capacitor has 2/3 of its maximum charge, you have that

Q=(2/3)Qmax    

You replace the previous expression for Q in the equation (1), and use properties of logarithms to solve for t:

Q=\frac{2}{3}Q_{max}=Q_{max}[1-e^{-\frac{t}{RC}}]\\\\\frac{2}{3}=1-e^{-\frac{t}{RC}}\\\\e^{-\frac{t}{RC}}=\frac{1}{3}\\\\-\frac{t}{RC}=ln(\frac{1}{3})\\\\t=-RCln(\frac{1}{3})=1.098RC

The charge in the capacitor reaches 2/3 of its maximum charge in a time equal to 1.098RC

You might be interested in
The speed of water flowing through the 4in diameter section of the piping system is 3ft/s. What is the volume flow rate of water
olga_2 [115]
1 ft =12 in 
4 in = 0.333 ft 
volume = (п/4)*(0.333)² = 0.087 ft²
vol. flow = spead *volume
              =3 ft/s * 0.087 ft² 

vol flow = 0.261 ft³/s
3 0
3 years ago
You are a member of an alpine rescue team and must project a box of supplies, with mass m, up an incline of constant slope angle
AlekseyPX

Answer:

v = \sqrt{2gh + \frac{2\mu_kgh}{tan\theta}}

Explanation:

When we push the box from the bottom of the incline towards the top then by work energy theorem we can say that

Work done by all the forces = change in kinetic energy of the system

- mgh - F_f (s) = 0 - \frac{1}{2}mv^2

here we know that

F_f = \mu_k mg cos\theta

also we know that the length of the incline is given as

s = \frac{h}{sin\theta}

now we have

- mgh - \mu_k mgcos\theta(\frac{h}{sin\theta}) = -\frac{1}{2}mv^2

so we have

v = \sqrt{2gh + \frac{2\mu_kgh}{tan\theta}}

3 0
3 years ago
The weight of a body of certain mass becomes zero in space.why?write with reasons​
Anvisha [2.4K]

Answer:

Weight is what you get when a certain amount of gravity is acting on that mass, and something, like the surface of a planet, is resisting that action. In space, when falling freely, there's nothing resisting the pull of gravity so weight disappears. Mass however stays.

hope this helps u

Explanation:

7 0
3 years ago
Which statement correctly describes the electrons in a water molecule?. . A.Which statement correctly describes the electrons in
exis [7]

The statement “Electrons are pulled closer to the oxygen atom” correctly describes the electrons in a water molecule. The correct answer between all the choices given is the second choice or letter B. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

4 0
3 years ago
Read 2 more answers
Suppose a person pushes thumbtack that is 1/5 centimeter long into a bulletin board, and the force (in dynes) exerted when the d
mario62 [17]

Answer:

W = 290.7 dynes*cm

Explanation:

d = 1/5 cm = 0.2 cm

The force is in function of the depth x:

F(x) = 1000 * (1 + 2*x)^2

We can expand that as:

F(x) = 1000 * (1 + 4*x + 4x^2)

F(x) = 1000 + 4000*x + 4000*x^2

Work is defined as

W = F * d

Since we have non constant force we integrate

W = \int\limits^{0.2}_{0} {(1000 + 4000*x + 4000*x^2)} \, dx

W = [1000*x + 2000*x^2 + 1333*X^3] evaluated between 0 and 0.2

W = 1000*0.2 + 2000*0.2^2 + 1333*0.2^3 - 1000*0 - 2000*0^2 - 1333*0^3

W = 200 + 80 + 10.7 = 290.7 dynes*cm

3 0
3 years ago
Other questions:
  • A star has a size of 0.1 solar radius. How many times larger is the sun than the star?
    7·2 answers
  • Resonance occurs when an object vibrating at or near the resonant frequency of a second object to vibrate. What form of waves ar
    13·1 answer
  • Why is styrofoam not a mineral?
    5·2 answers
  • An object of mass 0.50 kg is transported to the surface of Planet X where the object's weight is measured to be 20 N. The radius
    14·1 answer
  • As you move from left to right across a period the number of valances electrons
    8·2 answers
  • If a girl walks 6km due west changes directions and walk another 5km due north. Find her displacement in both magnitude and dire
    9·1 answer
  • Please write something<br><br> What to do in case of a fire.<br> ~write a few sentences~
    14·2 answers
  • 1. The potential difference between the terminals a cell in open circuit is 2.2volt. With resistance of 5ohm across the terminal
    9·1 answer
  • If a mass of 1 kg is accelerated to 1 m/s2 by a force of 1 N, then
    15·1 answer
  • What type of nuclear reaction is shown in the diagram below? Write 2 - 3 sentences describing what happens in this reaction, whe
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!