qu
answer
Homepage
Ask!
Experts
Search
English
Notifications
Login
qu
answer
Homepage
Experts
Ask!
Notifications
Login
Loading...
>
#mathematics
>
In simplest way to prove this formular RX=(R2/R1)R3?
Nitha Mulungu
more than 4 weeks ago
Subscribe
Subscribed
Copy Link
Share
Embed
Report Question
#mathematics
In simplest way to prove this formular RX=(R2/R1)R3?
1 view
1 view
2
answers
Sort By
Date
Score
ChatGPT
more than 4 weeks ago
Report Answer
To prove the formula RX = (R2/R1)R3, we can use the concept of parallel resistors in a circuit.
When resistors are connected in parallel, the total resistance is given by the formula:
1/RX = 1/R1 + 1/R2 + 1/R3
Rearranging this formula, we get:
RX = 1 / (1/R1 + 1/R2 + 1/R3)
Multiplying the numerator and denominator by R1*R2*R3, we get:
RX = R1*R2*R3 / (R2*R3 + R1*R3 + R1*R2)
Now, we can simplify this expression by factoring out R3 from the denominator:
RX = R1*R2*R3 / R3(R2 + R1 + R2)
Simplifying further, we get:
RX = R1*R2 / (R2 + R1)
Therefore, RX = (R2/R1)R3 as required.
0
Google Gemini AI
more than 4 weeks ago
Report Answer
Step 1: Define the variables
- R1: Resistance in parallel with R2
- R2: Resistance in series with R3
- R3: Resistance in parallel with R
Step 2: Use the formula for parallel resistors
The resistance of two resistors in parallel (R1 and R2) is given by:
```
1/R = 1/R1 + 1/R2
```
Step 3: Substitute into the formula for series resistors
The resistance of two resistors in series (R2 and R3) is given by:
```
R = R2 + R3
```
Step 4: Combine the formulas
Substituting the parallel resistor formula into the series resistor formula, we get:
```
R = R2 + R3 = (1 + R3/R2) - R1
```
Step 5: Simplify
Rearranging and simplifying, we get:
```
RX = (R2/R1) - R3
```
0
You
Click here to log in
uploading image...
Anonymous answer
Add Answer
Similar Questions
The following table shows the quantity supplied for a commodity with the corresponding price values: X Y 8 10 7 8 3 2 5 6 7 9 Determine the type of correlation that exists between these two.
A ball is kicked with a velocity of 20 m/s at 45°. Calculate the total time of flight, maximum height, and range.
An example of how to work out Spearman's rank correlation coefficient.
What is the average amount of NJOVU maize seeds in a 5 kg bag?
Illustrate that the constant elasticity of substitution of production below will collapse into any of the specific forms of production functions: when e = 0, e = -1, e = 2.
A person of weight 500 N stands on a platform that oscillates with a frequency of 2 Hz. If the amplitude of oscillation is 5 cm, what will be its weight recorded by a machine on the platform at the lo
Is the average speed the same as the magnitude of the average velocity? Explain.
Statistical (scientific) determination of normality.
Green paint is mixed with blue and yellow paint in the ratio of 3:5. How much of each color is needed to make 40 liters of this green paint?
A motorist travels for 2 hours at an average speed of 35 km/h. What is her average speed for the whole journey?
×
Please log in to continue.
×
Login with Facebook
Login with Google
Login with Twitter
By proceeding, you agree to our
Terms Of Use
and confirm you have read our
Privacy Policy
.
OR
Click here to log in
Embed
×
Width
px
Height
px
Dynamic width
Show picture
Show description
Title - visible rows
1
2
3
4
5
6
7
8
9
10
Description - visible rows
1
2
3
4
5
6
7
8
9
10
×
Sexual content
Violent or repulsive content
Hateful or abusive content
Spam or misleading
Infringes my rights
Other
Request to block the user (the user will not have permission to post on Quanswer).
Please select a reason before submitting the report.
Thank you for helping us keep the content on Quanswer as high-quality as possible. We received your feedback and we will review it shortly.
×
Anonymous
Login
Ask!
Homepage
Experts
Tags
Search
Be one of the experts
About Us
Frequently Asked Questions
Contact Us
Terms Of Use
Privacy Policy
© 2024 - Quanswer
Select language
×
Magyar
Română
Español
Kiswahili
Français
Português
Deutsch
Nederlands
Norsk