Page 683 - 9780077418427.pdf
P. 683

Volume/207/MHDQ243/tiL12214_disk1of1/0073512214/tiL12214_pagefiles
          tiL12214_appe_643-698.indd Page 660  09/10/10  8:37 AM user-f463
          tiL12214_appe_643-698.indd Page 660  09/10/10  8:37 AM user-f463              Volume/207/MHDQ243/tiL12214_disk1of1/0073512214/tiL12214_pagefile






                          since it is not given. The current can be obtained from the      Motor: (0.20 hp)(746 W/hp) = 150 W

                          relationship of Ohm’s law:
                                                                                                 150 J/s
                                                                                              P _  _
                                                                                                         = 1.3 A
                                                                                          I =         =

                             V _                                                             V   120 J/C

                          I =
                             R                                                       Three 100 W bulbs: 3 × 100 W = 300 W
                             _                                                                   300 J/s
                             3.00 V
                                                                                             P _
                           =      V _                                                     I =         =    _


                                                                                                        = 2.5 A

                             15.0                                                            V   120 J/C
                                 A
                                                                                                 600 J/s
                                                                                             P _  _


                                                                                                        = 5.0 A
                           = 0.200 A                                                   Iron  I =         =
                                                                                             V   120 J/C
                                   P = IV
                                                                                 The sum of the currents is 8.0 A + 1.3 A + 2.5 A  +

                                    = (0.200 C/s)(3.00 J/C)
                                                                                 5.0 A = 16.8 A, so the total current is greater than 15.0 amp
                                    =  0.600 W                                   and the circuit breaker will trip.
                               __
                                (watts)(time)(rate)

                    6.10.    cost =                                        6.14.   (a)   V P  = 1,200 V
                                       _
                                       W
                                   1,000
                                       kW                                           N P  = 1 loop
                                            (
                                             $0.10
                                                 )
                                (1,200 W)(0.25 h)     _                             N s  = 200 loops
                               ___                                                  V s  = ?
                                             kWh
                             =           _
                                          W
                                                                                           V P _ _
                                     1,000                                                       =        ∴  V s  =   _
                                                                                                         V P N s
                                                                                               V s





                                         kW
                                                                                           N P  N s       N P
                               __                h   _ _                                                  (1,200 V)(200 loop)
                               (1,200)(0.25)(0.10) W _ _
                                                           kW
                                                      $




                             =                     ×        ×           ×                                __


                                    1,000    1   1   kWh   W                                         V s  =       1 loop
                             =  $0.03  (3 cents)
                                                                                                       =  240,000 V
                                                                                                              V P  I P
                    6.11.   The relationship between power (P), current (I), and voltage                      _

                                                                                 (b) I P  = 40 A    V P  I P  = V s  I s   ∴  I s  =
                          (V) will provide a solution. Since the relationship considers                        V s
                          power in watts, the first step is to convert horsepower to watts.                   __

                                                                                                              1,200 V × 40 A
                                                                                     I s  = ?              I s  =
                          One horsepower is equivalent to 746 watts, so                                         240,000 V
                                                                                                              1,200 × 40 _
                                 (746 W/hp)(2.00 hp) = 1,492 W                                                _         V·A


                                                                                                            =            =
                                               P _                                                             240,000   V

                                P = IV   ∴    I =
                                               V                                                            =  0.2 A
                                                   _ J                                            V P _ _   N P _ _

                                                                                                      V s
                                               1,492                       6.15.   (a)  V s  = 12 V        =       ∴       =
                                                                                                                 V P







                                               _


                                                   s
                                             =      J                                             N P  N s  N s  V s

                                                  _

                                               12.0                                  I s  = 0.5 A
                                                                                                                       10
                                                                                                                 120 V
                                                  C                                                         N P _ _ _



                                                                                    V P  = 120 V                 =           =
                                               _ _ _
                                               1,492 J  C                                                   N s  12 V   1

                                             =                    ×

                                               12.0 s  J                                                                            10 primary to 1 secondary
                                                   C _                                                          _
                                                                                                                V s I s
                                             = 124.3                             (b)  I P  = ?   V P I P  = V s I s   ∴  I P  =
                                                   s                                                             V P
                                                                                                                (12 V)(0.5 A)
                                             =  124 A                                                           __
                                                                                                             I P  =

                                                                                                                   120 V
                    6.12.   (a)  The rate of using energy is joule/s, or the watt. Since                        _ _

                                                                                                                12 × 0.5 V·A
                             1.00 hp = 746 W,                                                                 =
                                                                                                                  120   V
                             inside motor: (746 W/hp)(1/3 hp) = 249 W                                         =  0.05 A
                             outside motor: (746 W/hp)(1/3 hp) = 249 W           (c)  P s  = ?    P s  = I s V s
                             compressor motor: (746 W/hp)(3.70 hp) = 2,760 W                        = (0.5 A)(12 V)
                                                                                                                J
                             249 W + 249 W + 2,760 W =  3,258 W                                             C _ _


                                                                                                    = 0.5 × 12        ×

                                                                                                            s
                                                                                                                C
                                          (
                                              )
                                          $0.10
                             (3,258 W)(1.00 h)     _                                                   _ J

                                           kWh
                            ___                                                                     = 6
                                                                                                       s
                          (b)         _
                                                  = $0.33 per hour
                                       W
                                  1,000                                                             =  6 W
                                       kW
                                                                                                 V P _  V s _  _
                                                                                                              V P N s





                          (c)  ($0.33/h)(12 h/day)(30 day/mo) =  $118.80    6.16.   (a)  V P  = 120 V          =      ∴  V s  =
                                                                                                 N P  N s      N P
                                                                                    N P  = 50 loops


                    6.13.   The solution is to find how much current each device draws                        120 V × 150 loops
                                                                                                              __


                          and then to see if the total current is less or greater than the   N s  = 150 loops   V s  =      50 loops
                          breaker rating.                                            I P  = 5.0 A
                                                                                                                      V·loops
                                                                                                              120 × 150 _
                                                                                                              _

                                         V _ _                                       V s  = ?               =      50      loops
                                             120 V


                                Toaster: I =         =           = 8.0 A
                                         R   15 V/A
                                                                                                             =  360 V
                   660     APPENDIX E  Solutions for Group A Parallel Exercises                                         E-18
   678   679   680   681   682   683   684   685   686   687   688