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
Agata [3.3K]
3 years ago
7

The current in some DC circuits decays according to the function I=I0e−t/τ, where I is the current at some point in time, I0 is

the initial current at time t=0, and τ is the time constant determined by the properties of the circuit. If you start such a circuit with an initial current of 1.2 Amps, and find that after 3.5 seconds have passed it has a current of 0.2 Amps, what is the value of the time constant τ for this particular circuit?
Physics
1 answer:
almond37 [142]3 years ago
3 0

Answer: 1.95

Explanation:

You should start off from the decay formula and solve for τ:

I = I_{0}e^{\frac{t}{\tau\\  } }

\frac{I}{I_{0}} = e^{\frac{-t}{\tau} }

Apply inverse logarithmic function:

ln(\frac{0.2 A}{1.2 A} ) = \frac{-t}{\tau}

The final form will be:

\tau=\frac{-3.5s}{ln(\frac{0.2A}{1.2A} )}

Inputing values for I, IO, and t:

\tau=\frac{-3.5S}{ln(\frac{0.2 A}{1.2 A} )} = 1.95

You might be interested in
Three forces of magnitude 10N, 5N and 4N act on an object in the directions North, West and East respectively. Find the magnitud
Gekata [30.6K]

Answer:

19N to the south

Explanation:

F =10N + 5N + 4N

8 0
3 years ago
2. What is the kinetic energy of a 7.26 kg bowling ball that is rolling at a speed of 2 m/s?
telo118 [61]

Kinetic energy is the energy possessed by an object when that object is moving in space. The higher the mass of an object or higher the speed of an object the higher the kinetic energy will be.

So to calculate the Kinetic Energy we can use the following formula

K.E=(1/2)*m*v^2

Inserting the values in formula gives:

K.E=1/2*7.26*2^2

14.52J

This is the final answer which gives the kinetic energy of the ball.

6 0
3 years ago
Read 2 more answers
Whats the Independent and Dependent Variables
astra-53 [7]
The independent variable is the type of fuel used and the dependent variable is the speed of the race car. The independent variable could be changed through the experimental process to see its relation with the dependent variable<span>. The dependent variable is the result of the independent variable changes.</span>
5 0
3 years ago
PLS HELP I HAVE EXAM ILL GIVE U BRAINLIST
stiv31 [10]

Explanation:

False

electron and proton attract each other

3 0
3 years ago
When buying a car, you tell the salesman that you want to make sure the car can go from 0 miles per hour to 60 miles per hour in
MaRussiya [10]
Acceleration....................................... <span />
4 0
3 years ago
Read 2 more answers
Other questions:
  • Meg goes swimming on a hot afternoon. When she comes out of the pool, her foot senses that the pavement is unbearably hot. Suppo
    10·2 answers
  • A pile driver lifts a 450 kg weight and then lets it fall onto the end of a steel pipe that needs to be driven into the ground.
    12·2 answers
  • These three members of the Nile gas family have one property in common because they are gases at room temperature. That is they
    5·1 answer
  • Force that opposes motion between two surfaces
    14·1 answer
  • What units are used to measure mass and weight? Mass and weight are measured in kilograms. Mass and weight are measured in newto
    6·2 answers
  • During a circus act, one performer swings upside down hanging from a trapeze holding another, also upside-down, performer by the
    8·1 answer
  • How is sound Important in different cultures
    5·1 answer
  • by scale drawing, find the resultant of vectors 70N inclined at100N and direction of the resultant 100N​
    6·1 answer
  • Explain how sound is being produced from this 'Stomp' group.
    12·1 answer
  • Which statement describes how work and power are similar?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!