202k views
2 votes
Find the total resistance of three resistors in parallel if their individual resistance are...

Find the total resistance of three resistors in parallel if their individual resistance-example-1
User Deandrea
by
8.1k points

1 Answer

5 votes

Given the expression:


R=(1)/((1)/(R1)+(1)/(R2)+(1)/(R3))

And:

R1 = 2 ohms;

R2 = 3 ohms;

R3 = 3 ohms.

Substitute the values to find R.


R=(1)/((1)/(2)+(1)/(3)+(1)/(3))

Take the least common denominator of 2, 3, 3.

The multiples of 2: 2, 4, 6, 8 ...

Multiples of 3: 3, 6, 9 ...

So, the least common denominator is 6. Then,


\begin{gathered} R=(1)/((3+2+2)/(6)) \\ R=(1)/((7)/(6)) \end{gathered}

To divide 2 fractions, flip the second fraction, then multiply. So,


\begin{gathered} R=1\cdot(6)/(7) \\ R=(6)/(7) \end{gathered}

Answer: The total resistance is 6/7.

User ITurki
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories