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Figure P224
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50 V + _
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VOUT = 20 V Ra
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225 The resistive elements of fuses, light bulbs, heaters,
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etc, are signi cantly nonlinear, ie, the resistance is dependent on the current through the element Assume the resistance of a fuse (Figure P225) is given by the expression: R = R0 [1 + A(T T0 )] with T T0 = kP ; T0 = 25 C; A = 07[ C] 1 ; C k = 035 ; R0 = 011 ; and P is the power W dissipated in the resistive element of the fuse Determine: a The rated current at which the circuit will melt and open, ie, blow Hint: The fuse blows when R becomes in nite b The temperature of the element at which this occurs
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VOUT = 225 V R2 = 270
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VOUT = 283 V R4 = 27 k
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Fuse
Figure P225
226 The voltage divider network of Figure P226 is
expected to provide 25 V at the output The resistors,
Figure P227
Part I
Circuits
228 For the circuit shown in Figure P228, nd
2 i 6V + _ 6 + v _ 1 R1 = 4
232 Find the equivalent resistance between terminals a
and b in the circuit of Figure P232
_ v2 + a
12 4
Figure P228
a b c d e
The equivalent resistance seen by the source The current, i The power delivered by the source The voltages, v1 , v2 The minimum power rating required for R1
4 2
229 Find the equivalent resistance of the circuit of
Figure P229 by combining resistors in series and in parallel
14 Req 12 5
Figure P232
233 For the circuit shown in Figure P233:
7 4 2
14 V
6 5
Figure P229
230 Find the equivalent resistance seen by the source
and the current i in the circuit of Figure P230
1 i 50 V + _ 90 4 4 4 22 8
Figure P233
a Find the equivalent resistance seen by the source b How much power is delivered by the source
234 In the circuit of Figure P234, nd the equivalent
resistance looking in at terminals a and b if terminals c and d are open and again if terminals c and d are shorted together Also, nd the equivalent resistance looking in at terminals c and d if terminals a and b are open and if terminals a and b are shorted together
Figure P230
231 In the circuit of Figure P231, the power absorbed
by the 15resistor is 15 W Find R
R 4 6 25 V + _ 24 15 4 4 a b
360 c d
180
540
540
Figure P234
235 Find the currents i1 and i2 , the power delivered by
the 2-A current source and by the 10-V voltage source, and the total power dissipated by the circuit of Figure P235 R1 = 32 , R2 = R3 = 6 , and R4 = 50
Figure P231
R1 R3 i2 2A i1
2
Fundamentals of Electric Circuits
R2 10 V + _
load is attached, the voltage drops to 25 V a Determine vS and RS for this nonideal source b What voltage would be measured at the terminals in the presence of a 10- load resistor c How much current could be drawn from this power supply under short-circuit conditions
Figure P235
239 A 120-V electric heater has two heating coils
which can be switched such that either can be used independently, or the two can be connected in series or parallel, yielding a total of four possible con gurations If the warmest setting corresponds to 1500-W power dissipation and the coolest corresponds to 200 W, determine: a The resistance of each of the two coils b The power dissipation for each of the other two possible arrangements
236 Determine the power delivered by the dependent
source in the circuit of Figure P236
10 5 R 3i
+ 10 V _
25
240 At an engineering site which you are supervising, a
Figure P236
237 Consider the circuit shown in Figure P237
1-horsepower motor must be sited a distance d from a portable generator (Figure P240) Assume the generator can be modeled as an ideal source with the voltage given The nameplate on the motor gives the following rated voltages and the corresponding full-load current: VG = 110 V VM min = 105 V IM FL = 710 A VM max = 117 V IM FL = 637 A If d = 150 m and the motor must deliver its full rated power, determine the minimum AWG conductors which must be used in a rubber insulated cable Assume that the only losses in the circuit occur in the wires
Conductors IM
IL R1 RL V1 Load Battery #1
I2 R2 V2
I1 R1
IL RL V1
+ VL
+ V G _
_ Load Battery #2 Battery #1 d Cable
Figure P237
a If V1 = 100 V, R1 = 005 , and RL = 045 , nd the load current IL and the power dissipated by the load b If we connect a second battery in parallel with battery 1 that has voltage V2 = 10 V and R2 = 01 , will the load current IL increase or decrease Will the power dissipated by the load increase or decrease By how much