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
Paha777 [63]
3 years ago
6

Suppose you want to determine the resistance of a resistor that is nominally 100 . You should be able to apply 10 V across the r

esistor and measure about 100 mA. Since there are variations in your resistor values, the resistor you chose is not exactly 100 . First, you measure y1 = 102 mA. Then, you ask a friend to measure, and she gets y2 = 97 mA. a. What do you get for the resistance value if you use the two measurements separately (two values)? b. Set it up as a linear system with measurement y = [y1y2]T and a single resistance value x.
Physics
1 answer:
Butoxors [25]3 years ago
3 0

Answer:

a) For y = 102 mA, R = 98.039 ohms

For y = 97 mA, R = 103.09 ohms

b) Check explanatios for b

Explanation:

Applied voltage, V = 10 V

For the first measurement, current y_{1} = 102 mA = 0.102 A

According to ohm's law, V = IR

R = V/I

Here, I = y_{1}

R = \frac{V}{y_{1} } \\R = \frac{10}{0.102} \\R = 98.039 ohms

For the second measurement, current y_{2} = 97 mA = 0.097 A

R = \frac{V}{y_{2} }

R = \frac{10}{0.097} \\R = 103 .09 ohms

b) y = \left[\begin{array}{ccc}y_{1} &y_{2} \end{array}\right] ^{T}

y = \left[\begin{array}{ccc}y_{1} \\y_{2} \end{array}\right]

y = \left[\begin{array}{ccc}102*10^{-3} \\97*10^{-3}  \end{array}\right]

A linear equation is of the form y = Gx

The nominal value of the resistance = 100 ohms

x = \left[\begin{array}{ccc}100\end{array}\right]

\left[\begin{array}{ccc}102*10^{-3} \\97*10^{-3}  \end{array}\right] =  \left[\begin{array}{ccc}G_{1} \\G_{2}  \end{array}\right] \left[\begin{array}{ccc}100\end{array}\right]\\\left[\begin{array}{ccc}G_{1} \\G_{2}  \end{array}\right] =  \left[\begin{array}{ccc}102*10^{-5} \\97*10^{-5}  \end{array}\right]

You might be interested in
Hey guys, i'm at 10 grade at school i have a physics question about stress tension and young modulus ? Please this is my questio
makvit [3.9K]
Use the eq. of Young modulus Y=(F/A)/(∆l/lo)
dimana ∆l is the elongation of wire, lo is its initial length.
So ∆l = (F/A)lo/Y.
∆l = (1000N/(6.5 × 10^-7 m^2))×(2.5m)/(2.0 × 10^-11 N/m^2)
Use calculator to finish it.
5 0
3 years ago
An object is projected horizontally at 18.4 m/s from the top of a 162.7 meter cliff.
miskamm [114]

Answer:

  106.03 meters  

Explanation:

The height is given by the formula for motion under the influence of gravity.

  h = -4.9t^2 +162.7

Height is 0 when ...

  0 = -4.9t^2 +162.7

  4.9t^2 = 162.7

  t^2 = 162.7/4.9

  t = √(162.7/4.9)

The horizontal distance traveled in that time is ...

  (18.4 m/s)√(162.7/4.9) s ≈ 106.03 m

The object will strike the ground about 106.03 meters from the base of the cliff.

5 0
2 years ago
When potential energy is converted into Kinetic energy, some of that kinetic energy is always in the form of
Paraphin [41]

Answer: thermal energy

Explanation: Thermal energy is the conversion of kinetic energy

7 0
3 years ago
What effect does increased blood flow have on the body when performing exercises? A. delivers more sugar to organs B. delivers m
denis23 [38]
The answer is C!
Good luck!
5 0
3 years ago
star a and star b have measured stellar parallax of 0.58 arc second and 0.73 arc second, respectively. which star is closer?
goldenfox [79]

Star B is closer than star A, because 1/ 0.58 = 1.72 pc, while 1/.73 = 1.36 pc.

<h3>What is stellar parallax and distance measurement using stellar parallax?</h3>

To calculate the distances to nearby stars, astronomers employ a phenomenon known as parallax. The apparent displacement of an object due to a change in the viewer's point of view is known as parallax. The distances between close stars can be calculated using this phenomenon. A nearer star will seem to move against the farther-off background stars as the Earth revolves around the Sun. By measuring a star's position once, then again six months later, astronomers can establish the apparent shift in location of that star. The apparent motion of the star is referred to as stellar parallax.

A straightforward correlation exists between the distance of a star and parallax angle:

d=\frac{1}{p}

The distance d and parallax angle p are both measured in parsecs and arcseconds, respectively.

Stellar parallax of star A= 0.58 arcseconds

Stellar parallax of star B= 0.73 arcseconds

So, on applying the formula,

The distance of the star A= 1.72pc

And the distance of the star B= 1.36pc

Therefore, star B is closer than star A.

To know more about stellar parallax, visit:

brainly.com/question/29352944

#SPJ4

3 0
1 year ago
Other questions:
  • A scientist prepares a colloidal solution and pours it into a glass tank. She then flashes a beam of white light into one end of
    7·2 answers
  • Why can an object still be seen when it is at absolute zero?
    5·1 answer
  • Referring to the above diagram, how high will the ball rise on the right-hand incline?
    8·1 answer
  • Nutritionists use the ______ to measure how much energy we get from foods.
    9·2 answers
  • I’m carbon cycle, CO2 is mainly stored in
    14·1 answer
  • Neurons that deliver sensory information from sensory receptors to the spinal cord are called __________.
    8·2 answers
  • 12. A runner at the start of a race generates 250 W of power as he accelerates to 5 m/s. If the runner has a mass of
    12·1 answer
  • What material would you use to build countertops
    9·2 answers
  • A room has a heater on one side and
    7·1 answer
  • Blake stands in a canoe in the middle of a lake. The canoe is stationary. Blake holds an anchor mass of 15 kg, then throws it we
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!