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Physics / Fundamentals of Physics 10 / Chapter 27 / Problem 39

Fundamentals of Physics | 10th Edition | ISBN: 9781118230725 | Authors: David Halliday; Robert Resnick; Jearl Walker

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In Fig. 27-50, two batteries with an emf V and an internal

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QUESTION:

In Fig. 27-50, two batteries with an emf V and an internal resistance r ! 0.300 0 are connected in parallel across a resistance R. (a) For what value of R is the dissipation rate in the resistor a maximum? (b) What is thatmaximum?+ rrRFigure 27-50 39and 40

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QUESTION:

In Fig. 27-50, two batteries with an emf V and an internal resistance r ! 0.300 0 are connected in parallel across a resistance R. (a) For what value of R is the dissipation rate in the resistor a maximum? (b) What is thatmaximum?+ rrRFigure 27-50 39and 40

ANSWER:

Problem 39

In Fig. 27-50, two batteries with an emf and an internal resistance are connected in parallel across a resistance R. (a) For what value of R is the dissipation rate in the resistor a maximum? (b) What is that maximum?

Step by Step Solution

Step 1 of 3

The emf is .

The internal resistance is .

The resistance is R.

(a)

In order to determine the resistance, we need t0 apply the loop rule to the loop containing a battery and resistance R.

The expression of power dissipated is,

For, .

Therefore,

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