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
strojnjashka [21]
2 years ago
9

A series L-R-C circuit consists of a 226 Ω resistor, a 27.4 mH inductor, a 11.55 µF capacitor, and an AC source of amplitude 15

V and variable frequency. If the voltage source is set to 5.6 times the resonance frequency, the impedance of this circuit is: Express the answer as a whole number.
Physics
1 answer:
DanielleElmas [232]2 years ago
6 0

Answer: 363 Ω.

Explanation:

In a series AC circuit excited by a sinusoidal voltage source, the magnitude of the impedance is found to be as follows:

Z = √((R^2 )+〖(XL-XC)〗^2) (1)

In order to find the values for the inductive and capacitive reactances, as they depend on the frequency, we need first to find the voltage source frequency.

We are told that it has been set to 5.6 times the resonance frequency.

At resonance, the inductive and capacitive reactances are equal each other in magnitude, so from this relationship, we can find out the resonance frequency fo as follows:

fo  = 1/2π√LC = 286 Hz

So, we find f to be as follows:

f = 1,600 Hz

Replacing in the value of XL and Xc in (1), we can find the magnitude of the impedance Z at this frequency, as follows:

Z = 363 Ω  

You might be interested in
What does force change?
Nonamiya [84]
A force is a push or pull to an object
4 0
3 years ago
Say you want to make a sling by swinging a mass M of 1.9 kg in a horizontal circle of radius 0.042 m, using a string of length 0
padilas [110]

Answer: T= 715 N

Explanation:

The only external force (neglecting gravity) acting on the swinging mass, is the centripetal force, which. in this case, is represented by the tension in the string, so we can say:

T = mv² / r

At the moment that the mass be released, it wil continue moving in a straight line at the same tangential speed that it had just an instant before, which is the same speed included in the centripetal force expression.

So the kinetic energy will be the following:

K = 1/2 m v² = 15. 0 J

Solving for v², and replacing in the expression for T:

T = 1.9 Kg (3.97)² m²/s² / 0.042 m = 715 N

3 0
3 years ago
Two identical 9.10-g metal spheres (small enough to be treated as particles) are hung from separate 300-mm strings attached to t
Musya8 [376]

Answer:

n = 1.266\times 10^{12}

Explanation:

Given data:

mass of sphere is 10 g

Angle between string and vertical axis is \theta = 13 degree

thickness of string  300 mm = 0.3 m

sin\theta =\frac{2}{0.3 m}

r =0.3 sin 13 = 0.067 m

Fe = \frac{ kq_1 q-2}{d^2}

Fe = \frac{kq^2}{(2r)^2} = mg tan\theta

q^2 =  mg tan\theta \frac{(2r)^2}{k}

    = 0.0091 \times 9.8 tan13 \times \frac{(2\times 0.067)^2}{9\times 10^9}

q^2 = 4.10\times 10^{-14}

q = 2.026 \times 10^{-7} C

q = ne

n = \frac{1.6\times 10^{-19}}{2.02\times 10^{-7}}

n = 1.266\times 10^{12}

3 0
2 years ago
In regards to mechanical energy, is energy being conserved ?
xxTIMURxx [149]

If only internal forces are doing work (no work done by external forces), then there is no change in the total amount of mechanical energy. The total mechanical energy is said to be conserved. ... In these situations, the sum of the kinetic and potential energy is everywhere the same.

7 0
2 years ago
An archery bow is drawn a distance d = 0.29 m and loaded with an arrow of mass m = 0.094 kg. The bow acts as a spring with a spr
dezoksy [38]

Answer:

The arrow will leave the bow with a velocity of 10 m/s.

Explanation:

Hi there!

The potential energy stored in the bow can be calculated using the following equation:

U = 1/2 · k · d²

Where

U = elastic potential energy.

k = spring constant.

d = stretched distance of the bow

Then:

U = 1/2 · 112 N/m · (0.29 m)²

U = 4.7 J

When the bow is released, the potential energy is transformed into kinetic energy. Then, the kinetic energy of the arrow when it leaves the bow will be:

KE = 1/2 · m · v² = 4.7J

Where:

KE = kinetic energy.

m = mass of the arrow.

v = velocity of the arrow:

Then:

4.7 J = 1/2 ·0.094 kg · v²

2 · 4.7 J / 0.094 kg = v²

9.4 kg · m²/s² / 0.094 kg = v²

v = 10 m/s

The arrow will leave the bow with a velocity of 10 m/s.

5 0
3 years ago
Other questions:
  • What is the force measured in Newtons between a proton and an electron in the ground state?
    13·1 answer
  • When the point of reference (the observer) is in motion, it flips the "rules" of vector addition (you ADD the vectors going in o
    14·1 answer
  • Newton’s prism experiments showed that white sunlight is made up of ... A-the full electromagnetic spectrum.. B-only blue light.
    8·2 answers
  • The car's motion can be divided into three different stages: its motion before the driver realizes he's late, its motion after t
    12·1 answer
  • There are six books in a stack, and each book weighs 5 N. The coefficient of static friction between the books is 0.2. With what
    9·2 answers
  • ) Continuing on Problem 1, assume a strain gage was bonded to the cylinder wall surface in the direction of the axial strain. Th
    15·1 answer
  • What is gravitational potential energy?
    10·1 answer
  • 10POiNTS!!! SPACE QUESTION!
    8·1 answer
  • Fruit and write your thought about it​
    6·1 answer
  • How does our body get heat ? Explain in short .<br>For class 5 plz bro i need help​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!