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
masha68 [24]
4 years ago
12

A thermistor is placed in a 100 °C environment and its resistance measured as 20,000 Ω. The material constant, β, for this therm

istor is 3,650 °C. Find: If the thermistor is then used to measure a particular temperature, and its resistance is measured as 500 Ω, determine the thermistor temperature.
Physics
1 answer:
Karo-lina-s [1.5K]4 years ago
4 0

Answer:

the thermistor temperature = 325.68 \ ^0 \ C

Explanation:

Given that:

A thermistor is placed in a 100 °C environment and its resistance measured as 20,000 Ω.

i.e Temperature

T_1 = 100^0C\\T_1 = (100+273)K\\\\T_1 = 373\ K

Resistance of the thermistor R_1 = 20,000 ohms

Material constant \beta = 3650

Resistance of the thermistor R_2 = 500 ohms

Using the equation :

R_1 = R_2  \ e^{\beta} (\frac{1}{T_1}- \frac{1}{T_2})

\frac{R_1}{ R_2} =   \ e^{\beta} (\frac{1}{T_1}- \frac{1}{T_2})

Taking log of both sides

In \ \frac{R_1}{ R_2} = In \  \ e^{\beta} (\frac{1}{T_1}- \frac{1}{T_2})

In \ \frac{R_1}{ R_2} = {\beta} (\frac{1}{T_1}- \frac{1}{T_2})

\frac{ In \ \frac{R_1}{ R_2}}{ {\beta}} = (\frac{1}{T_1}- \frac{1}{T_2})

\frac{1}{T_2} =   \frac{1}{T_1}  -          \frac{ In \ \frac{R_1}{ R_2}}{ {\beta}}

{T_2} =  \frac{\beta T_1}{\beta - In (\frac{R_1}{R_2})T}

Replacing our values into the above equation :

{T_2} =  \frac{3650*373}{3650 - In (\frac{20000}{500})373}

{T_2} =  \frac{1361450}{3650 - 3.6888*373}

{T_2} =  \frac{1361450}{3650 - 1375.92}

{T_2} =  \frac{1361450}{2274.08}

{T_2} = 598.68 \ K

{T_2} = 325.68 \ ^0 \ C

Thus, the thermistor temperature = 325.68 \ ^0 \ C

You might be interested in
Which detail in the first text do you better understand because of the details in the second text?
anzhelika [568]

Answer:

tourette syndrom

Explanation:

in the 2nd they go into detail about tourette syndrome and in the 2nd they dont talk about any of the other options

5 0
3 years ago
Read 2 more answers
who needs more friends on here go to my profile and hit thank you button and friend request and whoever do it first get brianlis
qwelly [4]

Answer:

BET SHORTY

Explanation:

THX

7 0
3 years ago
Read 2 more answers
If the initial velocity of an object was -2 meters per second
Shalnov [3]
A :-) for this question , we should apply
a = v - u by t
Given - u = -2 m/s
v = -10 m/s
t = 16 sec
Solution -
a = v - u by t
a = -10 - -2 by 16
a = -12 by 16
( cut 12 and 16 because 2 x 6 = 12 and
2 x 8 = 16 )
( cut 6 and 8 because 2 x 3 = 6 and
2 x 4 = 8 )
a = 3 by 4
a = 0.75 m/s^2

.:. The acceleration is 0.75 m/s^2.
3 0
3 years ago
As the distance of a sound wave from its source quadruples, how is the intensity changed?
timurjin [86]
Through the 1/r law, it was concluded that for the sound intensity or pressure is directly proportional to distance or radius. That is,
                                 p = k/r 
where k is the proportionality constant. If the distance of a sound wave is quadrupled then, the intensity of the sound is decreased to 1/4 of its original value. 
8 0
3 years ago
Read 2 more answers
What is Laminar flow??​
barxatty [35]

Answer:

Explanation:

Laminar Flow is a very important topic discussed in physics in the subject of fluid dynamics. Basically, it explains how fluid particles behave at lower velocities. In such cases and when the viscosity of the fluid is low, the fluid particles flow smoothly in perfectly perpendicular layers that do not collide or cross each other. Unlike turbulent flow, which is the opposite. An example of Laminar flow can be seen when you open up a water hose with little pressure, the water simply flows out of the hose and looks very clear and smooth.

8 0
3 years ago
Other questions:
  • A cubical box measuring 1.29 m on each side contains a monatomic ideal gas at a pressure of 2.0 atm How much thermal energy do t
    7·1 answer
  • The given function represents the position of a particle traveling along a horizontal line. s(t) = 2t3 − 3t2 − 12t + 6 for t ≥ 0
    11·1 answer
  • According to the concept of length contraction, what happens to the length of an object as it approaches the speed of ligh and t
    8·2 answers
  • Students performed several trials using the laboratory setup shown.
    14·1 answer
  • What type of galaxy is this?
    8·1 answer
  • Theophylline, an asthma medicine, is to be prepared from an elixir with a drug concentration of 5 mg/mL and a cherry-flavored sy
    15·1 answer
  • Ice melts in your<br> glass of water. What method of heat transfer causes this?
    7·1 answer
  • 23
    9·1 answer
  • What is the critical angle for light traveling from crown glass (n = 1.52) into water (n = 1.33)?
    13·2 answers
  • What is time dilation and how does it effect aging in life around the universe.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!