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Chapter 28: Q. 8 (page 790)

How much power is dissipated by each resistor in FIGURE $E X 28.8$ ?

Short Answer

Expert verified

$P_{1} = 1.92 W$ and $P_{2} = 2.88 W$

Step by step solution

01

Given information

We need to find the power dissipation by each resistor.

02

simplify

Let us consider the current flowing be $' i'$ :

Then,

$\Rightarrow i = \frac{\in}{R_{1} + R_{2}} i = \frac{12 V}{(12 + 18) Ω} I = \frac{12}{30} A i = 0.4 A$

The power dissipated in $R_{1}$ :

$P_{1} = i^{2} R_{1} P_{1} = {(0.4 A)}^{2} \times 12 Ω P_{1} = 0.16 A \times 12 Ω P_{1} = 1.92 W$

The power dissipated in $R_{2}$ :

$P_{2} = i^{2} R_{2} P_{2} = {(0.4 A)}^{2} \times 18 Ω P_{2} = 16 A \times 18 Ω P_{2} = 2.88 W$

03

Circuit diagram

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Most popular questions from this chapter

The circuit of FIGURE has two resistors, with $R_{1} > R_{2}$ . Which of the two resistors dissipates the larger amount of power? Explain.

What is the equivalent resistance between points a and b in FIGURE EX28.26?

A battery is a voltage source, always providing the same potential difference regardless of the current. It is possible to make a current source that always provides the same current regardless of the potential difference. The circuit in FIGURE P28.56 is called a current divider. It sends a fraction of the source current to the load. Find an expression for $I_{load}$ in terms of $R_{1}, R_{2}$ and $I_{source} .$ You can assume that the load’s resistance is much less than $R_{2} .$

What is the time constant for the discharge of the capacitors in FIGURE EX28.33?

For what emf $ε$ does the $200 Ω$ resistor in $f i g u r e P 28.64$ dissipate no power? Should the emf be oriented with its positive terminal at the top or at the bottom?

See all solutions

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