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Chapter 28: Q. 52 (page 792)

The ammeter in FIGURE P28.52 reads $3.0 A$ . Find $I_{1}, I_{2},$ and $ε .$

Short Answer

Expert verified

The value of

$I_{1} = 5 A I_{2} = 8 A ε = 14 V .$

Step by step solution

01

Given information

We have given,

Ammeter reading = $3 A$

We have to find the value of $I_{1}, I_{2}, ε .$

02

Simplify

Using the Kirchhoff voltage law in the upper loop

$- 9 V + 3 Ω \times I_{1} = 2 Ω \times 3 A I_{1} = \frac{9 + 6}{3} I_{1} = 5 A$

Using Kirchhoff current rule at the node and substitute the value of $I_{1} .$

localid="1649416745087" $I_{2} = I_{1} + 3 A I_{2} = 5 A + 3 A = 8 A$

Using Kirchhoff voltage rule in the lower loop

localid="1649416765380" $(2 Ω \times 3 A) - ε + (1 Ω \times I_{2}) = 0 ε = 6 + 8 ε = 14 V$

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Most popular questions from this chapter

A 12 V car battery dies not so much because its voltage drops but because chemical reactions increase its internal resistance. A good battery connected with jumper cables can both start the engine and recharge the dead battery. Consider the automotive circuit of FIGURE P28.65.

a. How much current could the good battery alone drive through the starter motor?

b. How much current is the dead battery alone able to drive through the starter motor?

c. With the jumper cables attached, how much current passes through the starter motor?

d. With the jumper cables attached, how much current passes through the dead battery, and in which direction?

You have a $2.0 Ω$ resistor, a $3.0 Ω$ resistor, a $6.0 Ω$ resistor, and a $6.0 V$ battery. Draw a diagram of a circuit in which all three resistors are used and the battery delivers 9.0 W of power.

A circuit you’re building needs an ammeter that goes from $0 mA$ to a full-scale reading of $50 mA$ . Unfortunately, the only ammeter in the storeroom goes from $0 μA$ to a full-scale reading of only $500 μA$ . Fortunately, you’ve just finished a physics class, and you realize that you can make this ammeter work by putting a resistor in parallel with it, as shown in FIGURE P28.57. You’ve measured that the resistance of the ammeter is $50 Ω$ , not the $0 Ω$ of an ideal ammeter.

a. What value of R must you use so that the meter will go to full scale when the current I is $50 mA$ ?

b. What is the effective resistance of your ammeter?

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

What are the emf and internal resistance of the battery in FIGURE P28.46?

See all solutions

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