# The simplified form of total resistance R . ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071 ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.4, Problem 101E

(a)

To determine

## To find: The simplified form of total resistance R.

Expert Solution

The simplified form of total resistance R is R1R2R1+R2 .

### Explanation of Solution

Given:

The total resistance R is,

R=11R1+1R2

Calculation:

Combine the terms in denominator into a single fraction.

R=11R1+1R2=1R2+R1R1R2=1R1R2R1+R2(Invertandmultiply)=R1R2R1+R2

Thus, the simplified form of total resistance R is R1R2R1+R2 .

(b)

To determine

### To find: The total resistance R.

Expert Solution

The total resistance R is 6.7 ohms.

### Explanation of Solution

Given:

The resistance R1 is 10 ohms and resistance R2 is 20 ohms.

Calculation:

The total resistance R form part (a) is,

R=R1R2R1+R2

Substitute 10 for R1 and 20 for R2 in the above formula.

R=102010+20=20030=6.7ohms

Thus, the total resistance R is 6.7 ohms.

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