Page 209 - WCS - Electrical
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WORKSHOP CALCULATION & SCIENCE  - CITS





















           Therefore Work = P x t    = 182 Watts x 12 hours
                                                    = 2184 Watt hour.
           4  An adjustable resistor bears the following label: 1.5 k Ohms/0.08 A.  What is its rated power?
               Given: R = 1.5 k Ohms; I = 0.08 A
               Find: P

               V = R x I = 1500 Ohms.0.08 A = 120 volts
               P = V x I = 120 volts.0.08 A = 9.6 W alternatively:
               P = 12.R = (0.08 A)2.1500 Ohms = 9.6  W.
           5   Find the current and power consumed by an electric iron having 110W resistance when feed from a 220
 Example      v supply                           V
 Example                     Current (I)     V  =  R
 1 Calculate  the  power  rating  of  the  lamp  in  the
 circuit, if 0.25 amperes of current flows and the
 1 Calculate  the  power  rating  of  the  lamp  in  the  Current (I)  =  R  220
 voltage is 240 volts.
 circuit, if 0.25 amperes of current flows and the  =   2 amperes
                                          220
                                               110
 voltage is 240 volts.       Power (w)  =  110 = V x I
                                               2 amperes
 P = V x I
 P = V x I             Power (w)      = V x I
 V = 240 Volts
                                            = 220 x 2
 V = 240 Volts                        = 220 x 2
   = 0.25 Amperes
 I
                                            = 440 watts
 I    = 0.25 Amperes  6 Find  the  total  power  if    four  1000  W,  180  volt
                                      = 440 watts
 Therefore  Power = 240 Volts x 0.25 Amperes
 Therefore  Power = 240 Volts x 0.25 Amperes  6   Find the total power if  four 1000 W, 180 volt heaters are connected in series across 240 V supply and
           6 Find  the  total  power  if    four  1000  W,  180  volt240  V
                    heaters  are  connected  in  series  across
   = 60 Volts Ampere
                    supply and current carrying capacity is 15 amp.
   = 60 Volts Ampere  current carrying capacity is 15 amp.  Find the total power.
              heaters  are  connected  in  series  across  240  V
 But 1 Watt = 1 Volt x 1 Amphere
                    Find the total power.
 But 1 Watt = 1 Volt x 1 Amphere  supply and current carrying capacity is 15 amp.
                                            Series
                       Connection
                                     =
 Therefore Power = 60 Watts
              Find the total power.
                                     =
                       Connection
 Therefore Power = 60 Watts        Connection  =  Series Series
                       No. of heaters  =
                                            4
 2 A current of 15 amperes flow through a resistance
                                         4
                                     =
                           heaters
 of  10  Ohms.    Calculate  the  power  in  kilowatts
 2 A current of 15 amperes flow through a resistance     Heater power (W)  =  4 =   1000 watts
                     heaters
 consumed.
 of  10  Ohms.    Calculate  the  power  in  kilowatts    (W)  =    watts
                       Heater voltage  =

                       Heater voltage
                                     =
                                         180 V
 consumed.       (W)           =     watts 180 V
 Given that R = 10   and I = 15A
                                            240 V
                       Supply voltage
                       Supply voltage  =  =
 Given that R = 10   and I = 15A  2        Heater voltage  =  180 V  240 V
 Power = V x I = I x R x I = I  x R
 Power = V x I = I x R x I = I  x R  Supply voltage =  240 V    V  2
 2
 Therefore Power = 15  x 10 = 2250 Watts = 2.25 kW
 2
                 Heater resistance (R)
 Therefore Power = 15  x 10 = 2250 Watts = 2.25 kW  Heater resistance (R) =    V 2 =  W
 2
 3 At a line voltage of 200 Volts a bulb consumes a
 current of 0.91 ampheres.  If the bulb is on for 12
 3 At a line voltage of 200 Volts a bulb consumes a  W  180   x   180  324
                                     =
 hour calculate the work in Wh to find the
 current of 0.91 ampheres.  If the bulb is on for 12 work  180   x   180 1000 324 =  10
 given that V = 200 Volts.
                                              =
 hour calculate the work in Wh to find the work  =  = 1000   ohms
                                                10
 given that V = 200 Volts.     =     ohms
 I   = 0.91 Amps.
                                         32.4 x 4 = 129.6 ohms
                    Total resistance
                                     =
 I   = 0.91 Amps.  Total resistance  =  32.4 x 4 = 129.6 ohms
 t    = 12 hours
 t    = 12 hours    Total current (I)     =     V
              Total current (I)  =  V     R
                                    R     240
                                     =
                                    240 129.6  = 1.85 amperes
                               =          = 1.85 amperes
                        (W)        129.6 V  x  I
                                     =
                  (W)          =   V  x  I  240 x 1.85 = 444 watts
                                     =
                                                           196
                                   240 x 1.85 = 444 watts
                               =
                 7 If a 40 watt fluorescent lamp draws a current of
                                           CITS : WCS - Electrical - Exercise 18
                    0.10 ampere.  How much voltage will be required
           7 If a 40 watt fluorescent lamp draws a current of
                    to illuminate it?
              0.10 ampere.  How much voltage will be required
              to illuminate it?      =     watt
                   (W)
 Therefore  Power=V x I = 200 Volts x 0.91 Amps    (W)  =    watt 0.10 ampere
                    Current (I)
                                     =
 Therefore  Power=V x I = 200 Volts x 0.91 Amps  Current (I)  =  0.10 ampere
  = 182 Watts
                                          W
                                     =
  = 182 Watts
 Therefore Work = P x t    = 182 Watts x 12 hours  Voltage (V)  W  I
 Therefore Work = P x t    = 182 Watts x 12 hours  Voltage (V)  =  I  40
                             = 2184 Watt hour.
                                     =
                             = 2184 Watt hour.  40  0.1   = 400 volts
 4 An adjustable resistor bears the following label:
                                         = 400 volts
                               =
                                    0.1
 1.5 k Ohms/0.08 A.  What is its rated power?
 4 An adjustable resistor bears the following label:  8 Find the cost of running 15 HP motor for 15 days @
 1.5 k Ohms/0.08 A.  What is its rated power?  8 Find the cost of running 15 HP motor for 15 days @
 Given: R = 1.5 k Ohms; I = 0.08 A
                    6 hrs per day and the cost of energy is Rs. 3 per unit.
 Given: R = 1.5 k Ohms; I = 0.08 A  6 hrs per day and the cost of energy is Rs. 3 per unit.
 Find: P
                 Motor power (w)
                                        = 15 HP
 Find: P V = R x I = 1500 Ohms.0.08 A = 120 volts  Motor power (w)  = 15 HP
                                        = 15 x 746 = 11,190 watts
 V = R x I = 1500 Ohms.0.08 A = 120 volts  Consumption per day  = 11,190 x 6
                                  = 15 x 746 = 11,190 watts
 P = V x I = 120 volts.0.08 A = 9.6 W alternatively:
 P = 1 .R = (0.08 A) .1500 Ohms = 9.6  W.
 2
 2
 P = V x I = 120 volts.0.08 A = 9.6 W alternatively:  Consumption per day  = 11,190 x 6  67.14 KWH
                                        = 67140 =
 P = 1 .R = (0.08 A) .1500 Ohms = 9.6  W.  = 67140 =  67.14 KWH
 2
 2
 5 Find  the  current  and  power  consumed  by  an
 electric iron having 110   resistance when
 5 Find  the  current  and  power  consumed  by  an feed  Consumption for 15 days = 67.14 x 15
           Consumption for 15 days = 67.14 x 15
 from a 220 v supply
 electric iron having 110   resistance when feed  = 1007 KWH (or) unit
 from a 220 v supply   Cost per unit  = 1007 KWH (or) unit
                                        = Rs. 3
 Resistance of electric iron (R) = 110 ohms
 Resistance of electric iron (R) = 110 ohms  Cost per unit  = Rs. 3  = Rs. 3021
                 Cost for total energy
                                        = 3 x 1007
 = 220 volts
 Voltage (V)
 Voltage (V)  = 220 volts  Cost for total energy  = 3 x 1007  = Rs. 3021
 112  Workshop Calculation & Science : (NSQF) Exercise 1.7.36
 112  Workshop Calculation & Science : (NSQF) Exercise 1.7.36
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