Chapter 2.8, Problem 39E

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

If two resistors with resistances
*R,* measured in ohms

If
*R* changing when

To determine

**To find:**

The rate at which R is changing.

Explanation

**1. Concept:**

Using parallel resistors with total resistance formula and differentiation, we can find the rate of change.

**2. Formula:**

i. Total resistance:

ii. Power rule of differentiation:

iii. Chain rule of differentiation:

**3. Given:**

i.

ii.

iii.

**4. Calculations:**

Consider the formula of total resistance

Substituting the values

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