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
“What are three ways that a cat pushing on a cat-flap door can change the amount of torque applied to the door?”
mixer [17]
It depends on where the cat is applying the force and how much the force is .. after all where and at what is distance from the axis of rotation of the door
7 0
3 years ago
When they are far apart, the momentum of a proton is 3.2 ✕ 10−21, 0, 0 kg · m/s as it approaches another proton that is initiall
Rina8888 [55]
<span>(6.0x10^-22, -1.40x10^-21, 0) kg*m/s Momentum is a conserved quantity. The total momentum of the system before and after the interactions will not change. So, let's look at the momentum before the interaction. (3.2x10^-21, 0, 0) kg*m/s and (0,0,0) kg*m/s After the interaction (2.6x10^-21, 1.40x10^-21, 0) kg*m/s and the other proton has to have a momentum that when added to this momentum equal the original value. Since the y and z vectors were initially 0, all we need for the y and x vector values of the result is to negate them. The x vector value will be 3.2x10^-21 - 2.6x10^-21 = 0.6x10^21 = 6.0x10^-22. So the other proton will have a momentum of (6.0x10^-22, -1.40x10^-21, 0) kg*m/s</span>
5 0
3 years ago
Vision is blurred if the head is vibrated at 29 Hz because the vibrations are resonant with the natural frequency of the eyeball
Sidana [21]

Answer:

255.4 N/m

Explanation:

We can consider the system eyeball-attached to the musculature as a mass-spring system in simple harmonic motion, whose frequency of oscillation is given by

f=\frac{1}{2\pi}\sqrt{\frac{k}{m}}

where in this case, we know:

f = 29 Hz is the frequency of oscillation

k is the spring constant, which is unknown

m = 7.7 g = 0.0077 kg is the mass of the eyeball

Solving the equation for k, we find the spring constant of the musculature attached to the eyeball:

k=(2\pi f)^2 m=(2 \pi (29 Hz))^2 (0.0077 kg)=255.4 N/m

6 0
3 years ago
An electric field of 1.65 kV/m and a magnetic field of 0.334 T act on a moving electron to produce no net force. If the fields a
Blizzard [7]

Answer:

4940.12 m/s

Explanation:

For the net force on the moving electron to be zero, the Magnetic force must then match the electric force.

Magnetic force = Electric force

Magnetic force = qvB

Electric force = Eq

qvB = Eq

v = (E/B)

E = Electric field = 1.65 kV/m = 1650 V/m

B = Magnetic field = 0.334 T

v = (1650/0.334)

v = 4940.12 m/s

Hope this helps!!

6 0
3 years ago
Read 2 more answers
A 10-kilogram mass is sliding along a frictionless floor with an acceleration of 5 meters per second squared. What is the magnit
Darina [25.2K]

Answer:

50N

Explanation:

Since the floor is frictionless, the net force = mass × acceleration.

given that,

mass = 10kg

and acceleration is 5 m/s²

Thus,

Force = 10 × 5

Force = 50 N

5 0
2 years ago
Other questions:
  • Which of the following contains the majority of the mass in the solar system?
    11·2 answers
  • Which has more thermal energy, a 5-kg bowling all that has been resting on a hot driveway for 4 hours on a 350C day, or the same
    6·2 answers
  • Your friend of mass 50 kg can just barely float in fresh water.
    5·1 answer
  • Si la aceleración de gravedad en la superficie del planeta Mercurio es de 3,7 m/s2, entonces ¿cuál sería el peso de una persona
    13·1 answer
  • The electric potential inside a parallel-plate capacitor __________. the electric potential inside a parallel-plate capacitor __
    8·1 answer
  • How do scientists use models to make predictions?
    14·1 answer
  • A race car starting from rest accelerates uniformly at a rare of 4.90 meters per second^2. What is the cars speed after it has t
    9·1 answer
  • A stuntman drives a car with a mass of 1500 kg on a drawbridge. The car accelerates with a constant force of 10,000 N. While he
    7·1 answer
  • Which three characteristics of an object are represented by a motion map
    8·1 answer
  • (c)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!