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Chapter 21: Q37PE (page 776)

Apply the loop rule to loop akledcba in Figure 21.52.

Short Answer

Expert verified

The loop rule to loop abcdefghija is:

25.1ΩI1-40.5ΩI2=-24V

Step by step solution

01

Definition of Kirchhoff's law

Kirchhoff's first law defines currents at circuit junctions. It states that the sum of currents flowing into and out of a junction in an electrical circuit equals the sum of currents flowing out of the junction.

02

Given information

R1=5.0Ω,E1=24V,r1=0.10ΩR2=40Ω,E2=48V,r2=0.50ΩR5=20Ω

03

Explanation for the loop akledcba

We go around the loop counter-clockwise, which is the same direction as the current I2but opposite the direction of I1In the direction of decreasing potential, we go through the emf E1.

Therefore, we have

E2-I2r2-I2R2+I1R5+I1r2-E2+I1R1=0E2-E1-I1r1+R1+R5-I2r2+R2=025.1ΩI1-40.5ΩI2=-24V

Hence, only one loop of the entire circuit is subjected to loop analysis, giving the following expression:

25.1ΩI1-40.5ΩI2=-24V

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Most popular questions from this chapter

Suppose you measure the terminal voltage of a 3.200-Vlithium cell having an internal resistance of5.00Ωby placing a1.00-kΩvoltmeter across its terminals. (a) What current flows? (b) Find the terminal voltage. (c) To see how close the measured terminal voltage is to the emf, calculate their ratio.

Suppose you are doing a physics lab that asks you to put a resistor into a circuit, but all the resistors supplied have a larger resistance than the requested value. How would you connect the available resistances to attempt to get the smaller value asked for?

What is the emfxof a cell being measured in a potentiometer, if the standard cell’s emf is 12.0 Vand the potentiometer balances forRx=5.000Ωand Rs=2.500Ω?

There is a voltage across an open switch, such as in Figure 21.43. Why, then, is the power dissipated by the open switch small.

Two resistors, one having a resistance of 145Ω, are connected in parallel to produce a total resistance of 150Ω. (a) What is the value of the second resistance? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?
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