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
yulyashka [42]
2 years ago
8

What is the time constant of a series circuit where the capacitor is 0.330μF and the resistor is 10Ω ?

Physics
1 answer:
PtichkaEL [24]2 years ago
3 0

Answer:

\tau=3.3*10^{-6}s

Explanation:

Take at look to the picture I attached you, using Kirchhoff's current law we get:

C*\frac{dV}{dt}+\frac{V}{R}=0

This is a separable first order differential equation, let's solve it step by step:

Express the equation this way:

\frac{dV}{V}=-\frac{1}{RC}dt

integrate both sides, the left side will be integrated from an initial voltage v to a final voltage V, and the right side from an initial time 0 to a final time t:

\int\limits^V_v {\frac{dV}{V} } =-\int\limits^t_0 {\frac{1}{RC} } \, dt

Evaluating the integrals:

ln(\frac{V}{v})=e^{\frac{-t}{RC} }

natural logarithm to both sides in order to isolate V:

V(t)=ve^{-\frac{t}{RC} }

Where the term RC is called time constant and is given by:

\tau=R*C=10*(0.330*10^{-6})=3.3*10^{-6}s

You might be interested in
Two equal positive charges are held in place at a fixed distance. If you put a third positive charge midway between these two ch
eimsori [14]

Answer:

False

Explanation:

8 0
3 years ago
Which best describes a major characteristic of both volcanoes and earthquakes? they are centered at the poles?
Arturiano [62]
<span>A major characteristic of both volcanoes and earthquakes is that they are located in the same geographic area. Most earthquakes are along the edges of tectonic plates. This is where most volcanoes are too. Most earthquakes directly beneath a volcano are caused by the movement of magma.</span>
6 0
3 years ago
Which best explains the direction of the moving force of air?. . A.. from warm temperatures to cold temperatures. . B.. from are
borishaifa [10]
Out of the choices given, the best choice to explain the direction of the moving force of air is from area o high pressure to areas of low pressure. The correct answer is B. 
8 0
3 years ago
Read 2 more answers
Convert 0.700 atm of pressure to its equivalent in millimeters of mercury.
inna [77]

Answer:

532 millimeters of mercury

Explanation:

In order to convert the pressure from atm to millimeters of mercury (mm Hg), we should remind the conversion factor between the two units:

1 atm = 760 mm Hg

Therefore, we can solve the problem by setting up the following proportion:

1 atm : 760 mmHg = 0.700 atm : x

Solving for x, we find

x=\frac{(760 mmHg)(0.700 atm)}{1 atm}=532 mmHg

5 0
3 years ago
If b humans cannot see ultraviolet waves how can ultraviolet light be used to gather evidence of a crime?
Inga [223]
I don’t know because it’s very difficult
6 0
3 years ago
Other questions:
  • What<br> is the difference between hypothesis, theory and scientific law?
    11·1 answer
  • The chemical combination of two or more different atoms in fixed amounts is called a(n)
    6·2 answers
  • What would be the best way for her to do this?
    7·1 answer
  • A 50 kg ball traveling at 20 m/s would have______ kinetic energy
    12·1 answer
  • Find the ratio of the radii of a baseball to the Earth, knowing that the radius of a baseball is .09 m, and that the Earth's rad
    14·1 answer
  • A box that is sliding across the floor experiences a net force of 10.0 N. If the box has a mass of 1.50 kg, what is the resultin
    15·1 answer
  • An aircraft flying in a straight
    9·1 answer
  • Which of the following is a physical state of matter? *<br> A mass<br> B volume<br> C liquid
    9·1 answer
  • Two planes fly in opposite directions. One travels 450 mi/h and the other flies 550 mi/h. How long will it take before they are
    6·1 answer
  • If you have a mass of 30 kilograms and you are resting on top of a hill that is 20 meters high how much energy would you have.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!