(a) Number Units (b) Number Units (c) Number Units (d) Number Units Chapter 27,

Question

(a)

Number

Units

(b)

Number

Units

(c)

Number

Units

(d)

Number

Units

Chapter 27, Problem 37 Incorrect.

In figure 27-48, the resistances are R1 =1.0 and R2 = 1.9 , and the idealbatteries have emfs 1 = 3.0 V, and2 = 3 = 5.9 V. What are the(a) current (in A) in battery 1,(b) the current (in A) in battery 2 and(c) the current (in A) in battery 3?(d) What is the potential differenceVa - Vb (in V)?



Figure 27-48

(a)

Number

.98305

Units

A

(b)

Number

.491525

Units

A

(c)

Number

Units

A

(d)

Number

4.9661

Units

V Answer a1: the tolerance is +/-2% I don't understand why c is not .491525. Please help mefigure out what Im doing wrong.

Explanation / Answer

Applying the Kirchhoff's voltage law to the lefthand side loop we get            3.0V -(1.0)(I1) - (1.9)(I2) - 5.9V -(1.0)(I1) = 0                   2.0I1 + 1.9I2 = - 2.9 ....................... (1)
Applying the Kirchhoff's voltage law to the righthand side loop we get           5.9V -(1.0)(I3) - (1.9)(I2) -5.9V - (1.0)(I3) = 0                     1.9I2 + 2.0I3 = 0  ........................ (2) Applying the Kirchhoff's junction rule weget                I1 - I2 + I3 = 0 ....................... (3) Solving the eq (1), (2) and (3) we get the valuesof I1, I2 and I3

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