Formula for resistance in parallel circuit

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SUMMARY

The formula for calculating the equivalent resistance in a parallel circuit is given by the equation 1/Req = 1/R1 + 1/R2 + 1/R3 + ... . To express this using summation notation, it should be written as 1/Req = Σi=1n (1/Ri), where 'n' represents the total number of resistors and 'i' serves as a counter. This notation accurately captures the relationship among multiple resistors in parallel.

PREREQUISITES
  • Understanding of electrical resistance concepts
  • Familiarity with parallel circuit configurations
  • Basic knowledge of mathematical summation notation
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Study the principles of Ohm's Law for better comprehension of resistance
  • Learn about series and parallel circuits in-depth
  • Explore advanced circuit analysis techniques using Kirchhoff's laws
  • Practice problems involving equivalent resistance calculations
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Students studying electrical engineering, physics enthusiasts, and educators teaching circuit theory will benefit from this discussion.

DB
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My science teacher gave me this formula for resistance in parallel circuit.
[tex]\frac{1}{R_{eq}}=\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}+...[/tex]

Thats exactly how he wrote it.
I would like this using the summation sigma

[tex]\frac{1}{R_{eq}}=\sum_{R=\frac{1}{R_n}}^n[/tex]

Is that right? I am sure it's not lol...
 
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DB said:
My science teacher gave me this formula for resistance in parallel circuit.
[tex]\frac{1}{R_{eq}}=\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}+...[/tex]

Thats exactly how he wrote it.
I would like this using the summation sigma

[tex]\frac{1}{R_{eq}}=\sum_{R=\frac{1}{R_n}}^n[/tex]

Is that right? I am sure it's not lol...

Not quite. You should write it as

[tex]\frac{1}{R_{eq}}=\sum_{i=1}}^n \frac{1}{R_i}[/tex]

Zz.
 
[tex]\frac{1}{R_{eq}}=\sum_{i=1}^n \frac{1}{R_i}[/tex]

Where n is the number of resistors and i is just a dummy letter (a counter).
 

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