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
frez [133]
2 years ago
6

When two capacitors are connected in parallel across a 12.3 v rms, 1.46 khz oscillator, the oscillator supplies a total rms curr

ent of 560 ma . when the same two capacitors are connected to the oscillator in series, the oscillator supplies an rms current of 124 ma ?
Physics
1 answer:
Nana76 [90]2 years ago
5 0
3.32µF and 1.64µF    

Since, you haven't actually asked a question, I am going to make a guess on what the question is based upon the data provided. My educated guess is "What are the values of the two capacitors?"    

The formula for the Capacitive reactance is  

X = 1/(2*pi*f*C)  

where  

X = reactance  

f = frequency  

C = capactance    

Let's solve for C  

X = 1/(2*pi*f*C)  

CX = 1/(2*pi*f)  

C = 1/(2*pi*f*X)    

Now with the capacitors in parallel, we have a reactance of:  

I = V/X  

IX = V  

X = V/I  

X = 12.3/0.56  

X = 21.96428571    

So the capacitance is:  

C = 1/(2*pi*f*X)  

C = 1/(2*pi*1460*21.96428571)  

C = 4.96307x10^-6 = 4.96307 µF    

And with the capacitors in series we have a reactance of:  

X = V/I  

X = 12.3/0.124  

X = 99.19354839    

So the capacitance is:  

C = 1/(2*pi*f*X)  

C = 1/(2*pi*1460*99.19354839)  

C = 1.09896x10^-6 = 1.09896 µF    

Now we can setup two equations with 2 unknowns.  

4.96307 = x + y  

1.09896 = 1/(1/x + 1/y)    

y = 4.96307 - x  

1.09896 = 1/(1/x + 1/(4.96307 - x))  

1.09896 = 1/((4.96307 - x)/(x(4.96307 - x)) + x/(x(4.96307 - x)))  

1.09896 = 1/(((4.96307 - x)+x)/(x(4.96307 - x)))  

1.09896 = 1/(4.96307/(x(4.96307 - x)))  

1.09896 = x(4.96307 - x)/4.96307  

5.45422 = x(4.96307 - x)  

5.45422 = 4.96307x - x^2  

0 = 4.96307x - x^2 - 5.45422  

0 = -x^2 + 4.96307x - 5.45422    

We now have a quadratic equation. Use the quadratic formula to solve, getting roots of 3.320460477 and 1.642609523. You may notice that those 2 values add up to 4.96307. This is not coincidence. Those are the values of the two capacitors in µF. Rounding to 3 significant figures gives us 3.32µF and 1.64µF.
You might be interested in
Consider three identical metal spheres, A, B, and C. Sphere A carries a charge of +6q. Sphere B caries a charge of-2q. Sphere C
miskamm [114]
<h2>20. How much charge is on sphere B after A and B touch and are separated?</h2><h3>Answer:</h3>

\boxed{q_{B}=+2q}

<h3>Explanation:</h3>

We'll solve this problem by using the concept of electric potential or simply called potential V, which is <em>the energy per unit charge, </em>so the potential V at any point in an electric field with a test charge q_{0} at that point is:

V=\frac{U}{q_{0}}

The potential V due to a single point charge q is:

V=k\frac{q}{r}

Where k is an electric constant, q is value of point charge and r is  the distance from point charge to  where potential is measured. Since, the three spheres A, B and C are identical, they have the same radius r. Before the sphere A and B touches we have:

V_{A}=k\frac{q_{A}}{r_{A}} \\ \\ V_{B}=k\frac{q_{B}}{r_{A}} \\ \\ But: \\ \\ \ r_{A}=r_{B}=r

When they touches each other the potential is the same, so:

V_{A}= V_{B} \\ \\ k\frac{q_{A}}{r}=k\frac{q_{B}}{r} \\ \\ \boxed{q_{A}=q_{B}}

From the principle of conservation of charge <em>the algebraic sum of all the electric charges in any closed system is constant. </em>So:

q_{A}+q_{B}=q \\ \\ q_{A}=+6q \ and \ q_{B}=-2q \\ \\ So: \\ \\ \boxed{q_{A}+q_{B}=+4q}

Therefore:

(1) \ q_{A}=q_{B} \\ \\ (2) \ q_{A}+q_{B}=+4q \\ \\ (1) \ into \ (2): \\ \\ q_{A}+q_{A}=+4q \therefore 2q_{A}=+4q \therefore \boxed{q_{A}=q_{B}=+2q}

So after A and B touch and are separated the charge on sphere B is:

\boxed{q_{B}=+2q}

<h2>21. How much charge ends up on sphere C?</h2><h3>Answer:</h3>

\boxed{q_{C}=+1.5q}

<h3>Explanation:</h3>

First: A and B touches and are separated, so the charges are:

q_{A}=q_{B}=+2q

Second:  C is then touched to sphere A and separated from it.

Third: C is to sphere B and separated from it

So we need to calculate the charge that ends up on sphere C at the third step, so we also need to calculate step second. Therefore, from the second step:

Here q_{A}=+2q and C carries no net charge or q_{C}=0. Also, r_{A}=r_{C}=r

V_{A}=k\frac{q_{A}}{r} \\ \\ V_{C}=k\frac{q_{C}}{r}

Applying the same concept as the previous problem when sphere touches we have:

k\frac{q_{A}}{r} =k\frac{q_{C}}{r} \\ \\ q_{A}=q_{C}

For the principle of conservation of charge:

q_{A}+q_{C}=+2q \\ \\ q_{A}=q_{C}=+q

Finally, from the third step:

Here q_{B}=+2q \ and \ q_{C}=+q. Also, r_{B}=r_{C}=r

V_{B}=k\frac{q_{B}}{r} \\ \\ V_{C}=k\frac{q_{C}}{r}

When sphere touches we have:

k\frac{q_{B}}{r} =k\frac{q_{C}}{r} \\ \\ q_{B}=q_{C}

For the principle of conservation of charge:

q_{B}+q_{C}=+3q \\ \\ q_{A}=q_{C}=+1.5q

So the charge that ends up on sphere C is:

q_{C}=+1.5q

<h2>22. What is the total charge on the three spheres before they are allowed to touch each other.</h2><h3>Answer:</h3>

+4q

<h3>Explanation:</h3>

Before they are allowed to touch each other we have that:

q_{A}=+6q \\ \\ q_{B}=-2q \\ \\ q_{C}=0

Therefore, for the principle of conservation of charge <em>the algebraic sum of all the electric charges in any closed system is constant, </em>then this can be expressed as:

q_{A}+q_{B}+q_{C}=+6q -2q +0 \\ \\ \therefore q_{A}+q_{B}+q_{C}=+4q

Lastly, the total charge on the three spheres before they are allowed to touch each other is:

+4q

8 0
3 years ago
Ubes have sides of equal lengths. What is the fastest way to measure the volume of a cube-shaped table?
Kryger [21]

The quickest technique to calculate the volume of a cube-shaped table is to use a ruler to measure one side, then multiply that figure by three. Option B is correct.

<h3 /><h3>How do you calculate the volume of a cube?</h3>

Assume the side length of the cube under consideration is L units. The volume of the cube is then equal to L³ cubic units.

The volume of a cube is;

V = L³

Ubes have equal-length sides. The quickest technique to calculate the volume of a cube-shaped table is to use a ruler to measure one side, then multiply that figure by three.

Hence option B is correct.

To learn more about the volume of a cube refer

brainly.com/question/26136041

#SPJ1

7 0
2 years ago
2. A car accelerates uniformly from +10.0 m/s to +50.0 m/s over a distance of 225 m. How long did it take to go that distance? S
artcher [175]
Let's call the constant acceleration a.
At a time t, its speed will thus be v(t)=a*t+v0 where v0 is its initial speed, here 10 m/s. Hence v(t)=a*t+10.

From there we can deduce the position P(t)=a*t^2/2+10t+p0 where p0 is the initial position, here 0.

Hence P(t)=a*t^2/2+10t

Let's call T the time at which it's at 50 m/s, we know that P(T)=225m and that v(T)=50 m/s hence a*T+10=50 thus a=40/T and P(T)=(40/2+10)T=30T

Hence T=225/30=7.5

It took 7.5 seconds


7 0
2 years ago
assuming birdman flies at height of 72m, how fast should he fly to hit bucket at 63m from start of field. gravity is -9.8m/s^2 n
algol [13]

Answer:

.....Birdman?

Explanation:

7 0
3 years ago
A man does 500 J of work pushing a car a distance of 2 m. How much force does he apply? Assume there is no friction.
Dmitry [639]

The correct answer is A. 250N

Work is a product of force and distance.

That is, work done=force×distance

Therefore substituting for the values in the question:

500J=force×2m

force= 500Nm/2m=250N

another unit for work done is Nm as force as the SI unit of force is newtons and distance in meters

6 0
3 years ago
Read 2 more answers
Other questions:
  • 18. Two spaceships are traveling in the same direction. With respect to an inertial frame of reference, spaceship A has a speed
    11·1 answer
  • Calculate the amount of work done if you use a 100 N force to push a 50 kg box 5 m across the kitchen floor.
    13·2 answers
  • In which type of chemical reaction is heat absorbed from the surroundings?
    12·2 answers
  • Can you change the weight of something without changing the mass?
    7·1 answer
  • Which term describes a test that scientist use to answer a question?
    13·1 answer
  • The voltage applied across a given parallel-plate capacitor is doubled. How is the energy stored in the capacitor affected?
    6·1 answer
  • The index of refraction of silicate flint glass for red light is 1.620 and for violet light is 1.660 . A beam of white light in
    11·1 answer
  • Iron (II) hydroxide, whose chemical formula is shown here, is soluble in different solutions. In which solution would the Iron (
    12·1 answer
  • What is the unit for measuring electric current?<br> A.Volt<br> B.ampere<br> C.ohm<br> D.coulomb
    5·2 answers
  • A 12 v battery produces a current of 25 amps. What is the resistance <br>Please help me
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!