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
zhannawk [14.2K]
3 years ago
5

A 1.50-mF capacitor is connected to a North American electrical outlet (ΔVrms = 120 V, f = 60.0 Hz). Assuming the energy stored

in the capacitor is zero at t = 0, determine the magnitude of the current in the wires at t = 1/171s.
Physics
1 answer:
Murljashka [212]3 years ago
3 0

Answer:

96.10 A

Explanation:

The capacitor is connected to a voltage source defined by the expression,

V(t) = √2 × Vrms×sin2πft

Where V(t)=instantaneous voltage, Vrms= root mean square voltage value, f= frequency, t= time π=pi.

Vrms= 120 V, f= 60.0Hz, t= 1/171s, π= 3.143.

∴ V(t) = √2 × 120 × sin(2×3.143×60×t)

∴V(t) = 169.71 × sin(377.16t)............(1)

using capacitor's equation,

I(t)=C(dv/dt)...................(2)

Note: the differentiation of sin∅ = cos∅

∴ dv/dt=169.71×377.16×cos(377.16t)

  dv/dt = 64109.65× cos(377.16t)

  At time t=1/171s.

 ∴dv/dt=64109.65 × cos(377.16×1/171)

   dv/dt = 64109.65 ×cos(2.21)

   dv/dt = 64109.65 × 0.999

   dv/dt = 64045.54.

    I(t) = C(dv/dt)

   Where C= I.5 mF = 0.0015 F

   ∴ I(t) = 0.0015 × 64045.54

      I(t) = 96.07

      I(t) ≈ 96.10 A

You might be interested in
You are designing an airport for small planes. One kind of airplane that might use this airfield must reach a speed before takeo
ladessa [460]

Explanation:

Given that,

Initial speed of the airfield, u = 0

Final speed, v = 27.8 m/s

Acceleration of the airfield, a=2\ m/s^2

Length of the runway, d = 150 m

Let v' is the speed of the airplane to reach the required speed for takeoff. Finding v' using third equation of motion as :

v'^2-u^2=2ad\\\\v'=\sqrt{2ad} \\\\v'=\sqrt{2\times 2\times 150} \\\\v'=24.49\ m/s

This speed is not enough as the airfield must reach a speed before takeoff of at least 27.8 m/s. Now, the required length of the runways is :

v^2=2ax\\\\x=\dfrac{v^2}{2a}\\\\x=\dfrac{(27.8)^2}{2\times 2}\\\\x=193.21\ m

So, the minimum length of the runways is 193.21 meters.

8 0
3 years ago
8. Humans need oxygen to break down food in order to provide energy for cells. The oxygen needed for this process is delivered b
Marina86 [1]

Answer:

The answer is B. Lungs

7 0
3 years ago
Read 2 more answers
Q.01 When charging a secondary cell, energy is stored within a dielectric material using an electric field. True or False
Nitella [24]

True, when charging a secondary cell, energy can be stored within a dielectric material using an electric field.

<h3>Relationship between dielectric material and electric field</h3>

The electric field in a capacitor separates the negative and positive charges in the dielectric material, this causes an attractive force between each plate and the dielectric.

The dielectric material can store electric energy due to its polarization in the presence of external electric field, which causes the positive charge to store on one electrode and negative charge on the other.

Thus, when charging a secondary cell, energy can be stored within a dielectric material using an electric field.

Learn more about dielectric material here: brainly.com/question/17090590

4 0
2 years ago
Bill and amy want to ride their bikes to school which is 14.4 kilometers away. It takes Amy 49 minutes to get to school and bill
Drupady [299]

3.4m/s

Explanation:

Given parameters:

Distance to school  = 14.4km

Time taken by Amy = 49min

Time taken by bill = 20min after Amy = 20+49 = 69min

Unknown parameters:

How much faster is Amy's average speed = ?

Solution:

Average speed is the rate of change of total distance with total time taken.

 Average speed = \frac{total distance }{total time taken}

convert units to meters and seconds

      1000m = 1km

       60s = 1min

Distance to school  = 14.4 x 1000 = 14400m

Time taken by Amy = 49 x 60 = 2940s

Time taken by Bill = 69 x 60 = 4140s

Average speed of Amy = \frac{14400}{2940}  = 4.9m/s

Average speed of Bill = \frac{4140}{2940}  = 1.4m/s

Differences in speed = 4.9 - 1.5 = 3.4m/s

Amy was 3.4m/s faster than Bill

learn more:

Average speed brainly.com/question/8893949

#learnwithBrainly

5 0
3 years ago
two children having a disagreement pull on a 50N sled in opposite directions. one pulls with a force of 300N east, the other wit
prohojiy [21]
<span>Since forces are vector quantities, we must indicate direction using positive and negative values. East will be assigned positive and west will be negative. Friction will act as a negative force since it impedes action. To calculate the net force we sum the vector quantities, as follows. Net force equals 50n which is derived by the following calculation: 300n-220n-30n.</span>
7 0
3 years ago
Read 2 more answers
Other questions:
  • A Texas rancher wants to fence off his four-sided plot of flat land. He measures the first three sides, shown as A, B, and C in
    14·1 answer
  • SOMEONE HELP ME!!!!!
    11·2 answers
  • An electric dipole generates an electric field in the space around it what do all of the electric field lines have in common?
    15·1 answer
  • An electron enters a region of space containing a uniform 0.0000193-T magnetic field. Its speed is 121 m/s and it enters perpend
    12·1 answer
  • What is the size of filter paper​
    5·2 answers
  • A student carries a backpack for one mile. Another student carries the same backpack for two miles
    12·1 answer
  • HEEEEEEELLLLLPPPPPPP 20 points and Brainliest
    6·1 answer
  • Someone please help me! And I will mark you as brainlist!!
    9·1 answer
  • Which moon phase comes before the phase in this picture?
    11·2 answers
  • 9. Liquid A has greater density than Liquid B. Which liquid will be exerting more pressure on the sides of the container?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!