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
miv72 [106K]
3 years ago
5

A 10-mh inductor has a parasitic series resistance of rs = 0.5 ω, as shown below. If the current is given by i(t) = 0.1 sin(20t)

a, find vr(t) , vl(l), and v(t).
Mathematics
1 answer:
k0ka [10]3 years ago
4 0

v_r(t)=r\cdot i(t)=(0.5\,\Omega)(0.1\sin{(20t)\,A})=0.05\sin{(20t)}\,V\\\\v_l(t)=l\cdot \dfrac{d}{dt}(i(t))=(0.010\,H)(20\cdot 0.1\cos{(20t)\,A/s})=0.02\cos{(20t)\,V}

Then the total voltage is ...

v(t)=(0.05\sin{(20t)}+0.02\cos{(20t)})\,V\approx 0.05385\sin{(20t+0.3805)\,V}

The magnitude of the resultant voltage is √(.02²+.05²); the angle is arctan(.02/.05).

You might be interested in
Answer plz asap.......<br><br><br><br><br><br><br>​
dangina [55]
Im not sure but I’ll go with c :)
5 0
2 years ago
An airplane travels 6903 kilometers against the wind in 9 hours and 8613 kilometers with the wind in the same amount of time. Wh
Rzqust [24]

Answer:

The rate of the plane is 862 miles per hour

Step-by-step explanation:

An airplane travels 6903 kilometers against the wind in 9 hours.

Speed = distance / time

Speed of the airplane while travelling against the wind is

6903/9 = 767 miles per hour

The airplane travelled 8613 kilometers with the wind in the same amount of time. This means that the speed while travelling with the wind will be

8613/9 = 957 miles per hour

Let x = speed of the airplane

Let y = speed of the wind

While travelling against the wind,

x - y = 767 - - - - - -- 1

While travelling with the wind,

x + y = 957 - - - - - - -2

Subtracting equation 2 from equation 1,

-y - y = 767 - 957

-2y = -190

y = -190/-2

y = 95 miles per hour

x = 957 - y

x = 957 - 95

x = 862 miles per hour

4 0
3 years ago
Sergio got 80% on a test. He answers 24 questions right. How many questions are on the test?
miskamm [114]
24 divided by 80= 0.3
24/30 there were 30 questions on the test and he got 24 right
8 0
3 years ago
CALCULUS EXPERT WANTED
Vlad [161]

a. Use the mean value theorem. 16 falls between 12 and 20, so

v'(16)\approx\dfrac{v(20)-v(12)}{20-12}=\dfrac{240-200}8=5

(Don't forget your units - 5 m/min^2)

b. v(t) gives the Johanna's velocity at time t. The magnitude of her velocity, or speed, is |v(t)|. Integrating this would tell us the total distance she has traveled whilst jogging.

The Riemann sum approximates the integral as

\displaystyle\int_0^{40}|v(t)|\,\mathrm dt=12\cdot200+8\cdot240+4\cdot220+16\cdot150=7600

If you're not sure how this is derived: we're given 5 sample points, so we can cut the interval [0, 40] into 4 subintervals. The lengths of each subinterval are 12, 8, 4, and 16 (the distances between each sample point), and the height of the rectangle approximating the area under the plot of |v(t)| is determined by the value of v(t) at each sample point, 200, 240, |-220| = 220, and 150.

c. Bob's velocity is given by B(t), so his acceleration is given by B'(t). We have

B'(t)=3t^2-12t

and at t=5 his acceleration is B'(5)=15 m/min^2.

d. Bob's average velocity over [0, 10] is given by the difference quotient,

\dfrac{B(10)-B(0)}{10-0}=\dfrac{700-300}{10}=40 m/min

6 0
3 years ago
Rezolvati 1) -2x+1= -7 2) 6+3x= -54+x 3) 2x+9= 7 +x 4) 3-2x= -x -6 5) -3(x+1) = -6 6) -4 (x -2)=12 7) -7(x-3)= -14
Natalija [7]
<span>Răspunsurile sunt

1. x= 4
2. x = -30
3. x = -2
4. x = 9
5. x = 1
6. x = -1
7. x = 5
</span>
3 0
3 years ago
Other questions:
  • Each point on the edge of a circle is equidistant from the center of the circle. The center of a circle is located at (6,3). Whi
    14·2 answers
  • What is the inverse of y = x+3/4 ?<br><br> a. y=x-3/4<br> b. y=4x-3<br> c. y=4x+3<br> d. y= x-3/-4
    5·2 answers
  • 11 out of 25 as a percentage
    5·2 answers
  • How do I solve 923÷4 using the standard or quotient method
    9·1 answer
  • there are 15 rafts available for people to use on the adventure river ride. each raft holds 12 people. the park runs this ride 3
    5·1 answer
  • The quotient of two numbers is negative. It must be true that _____.
    12·2 answers
  • PLEASE HURRY IF YOU ANSWER AND IT'S RIGHT YOU GET BRAINLYEST
    12·2 answers
  • Rodell wants to find the favorite gaming app among the students at his school. He decides to poll the thirty students on his foo
    14·1 answer
  • 4(4q + 8r) <br><br> marked as BRAINLIEST:)
    8·1 answer
  • Solve for X. Geometry
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!