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212 Determine which elements in the circuit of Figure
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P212 are supplying power and which are dissipating power Also determine the amount of power dissipated and supplied
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+15 V _ B _ 27 V + C
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+ 25 A A + 12 V _
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28 What determines:
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a How much current is supplied (at a constant voltage) by an ideal voltage source b How much voltage is supplied (at a constant current) by an ideal current source
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Figure P212
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213 In the circuit shown in Figure P213, determine the
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terminal voltage of the source, the power supplied to the circuit (or load), and the ef ciency of the circuit Assume that the only loss is due to the internal resistance of the source Ef ciency is de ned as the ratio of load power to source power VS = 12 V RS = 5 k
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+ V _ S
29 Determine the current through R3 in Figure P29 for:
VS = 12V R1 = 2 k RS = 1 k R2 = 4 k R3 = 6 k
RL = 7 k
+ V S _
R1 R2 R3 + VT
Figure P29
Section 2: Electric Power 210 In the block diagram in Figure P210:
I = 420 A
Non-Ideal Source
Figure P213
214 For the circuit shown in Figure P214:
3 V + B 2A
+ A V = 1 kV
D 5 V + C 3A
+ E 10 V
Figure P210
a Which component must be a voltage or current source b What could the other component be Include all possible answers
Figure P214
211 If an electric heater requires 23 A at 110 V,
determine:
a Determine which components are absorbing power and which are delivering power b Is conservation of power satis ed Explain your answer
Part I
Circuits
215 Suppose one of the two headlights in Example 22
has been replaced with the wrong part and the 12-V battery is now connected to a 75-W and a 50-W headlight What is the resistance of each headlight, and what is the total resistance seen by the battery
220 A GE SoftWhite Longlife light bulb is rated as
follows: PR = Rated power = 60 W POR = Rated optical power = 820 lumens (average) Operating life = 1500 h (average) VR = Rated operating voltage = 115 V The resistance of the lament of the bulb, measured with a standard multimeter, is 167 When the bulb is connected into a circuit and is operating at the rated values given above, determine: a The resistance of the lament b The ef ciency of the bulb
216 What is the equivalent resistance seen by the
battery of Example 22 if two 10-W taillights are added to the 50-W (each) headlights
217 For the circuit shown in Figure P217, determine
the power absorbed by the 5
resistor
20 V
15
221 An incandescent light bulb rated at 100 W will
Figure P217
218 With reference to Figure P218, determine:
IT RS
+ V _ S + VT _
dissipate 100 W as heat and light when connected across a 110-V ideal voltage source If three of these bulbs are connected in series across the same source, determine the power each bulb will dissipate
222 An incandescent light bulb rated at 60 W will
Nonideal Source
dissipate 60 W as heat and light when connected across a 100-V ideal voltage source A 100-W bulb will dissipate 100 W when connected across the same source If the bulbs are connected in series across the same source, determine the power that either one of the two bulbs will dissipate
Figure P218
Section 3: Resistance Calculations 223 Use Kirchhoff s current law to determine the
current in each of the 30Figure P223 resistors in the circuit of
a The total power supplied by the ideal source b The power dissipated and lost within the nonideal source c The power supplied by the source to the circuit as modeled by the load resistance d Plot the terminal voltage and power supplied to the circuit as a function of current Calculate for IT = 0, 5, 10, 20, 30 A VS = 12 V RS = 03
60
20
219 In the circuit of Figure P219, if v1 = v/8 and the
power delivered by the source is 8 mW, nd R, v, v1 , and i
2 k i 4 k v
25 A 30 each
+ v1 _
Figure P223
R 8 k
224 Cheap resistors are fabricated by depositing a thin
layer of carbon onto a nonconducting cylindrical substrate (see Figure P224) If such a cylinder has
Figure P219
2
Fundamentals of Electric Circuits
radius a and length d, determine the thickness of the lm required for a resistance R if: a = 1 mm S 1 = = 29 M m R = 33 k d = 9 mm
however, may not be exactly the same; that is, their tolerances are such that the resistances may not be exactly 10 k a If the resistors have 10 percent tolerance, nd the worst-case output voltages b Find these voltages for tolerances of 5 percent
Neglect the end surfaces of the cylinder and assume that the thickness is much smaller than the radius
R1 = 10 k 5V + _ VOUT R2 = 10 k A cs
Figure P226
227 For the circuits of Figure P227, determine the
resistor values (including the power rating) necessary to achieve the indicated voltages 1 Resistors are available in 1 -, 1 -, 2 -, and 1-W ratings 8 4
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