An electric bulb is rated as 50 W, 220 V. Calculate the energy consumed by the bulb in 20 minutes. Express your answer in commercial units of electric energy.


Power of the bulb, P = 50 W = 501000kW

Time,  t = 20 minutes = 2060 h

Energy consumed = P x t = 501000 kW × 2060 h 

                            = 160 kWh = 0.0167 kWh. 

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A 100 watt electric bulb is lighted for 2 hours daily and four 40 watt bulbs are lighted for 4 hours everyday. Calculate the energy consumed (in kWh) in 30 days.

Energy consumed by the 100 watt bulb everyday working 2 hours

Energy consumed by the 100 watt bulb everyday working 2 hoursEnergy cspace equals space straight P space cross times space straight t space equals space 100 space straight W space cross times space 2 space straight h space equals space 100 over 1000 kW space cross times space 2 space straight h space equals space 0.2 space straight k space Wh
Energy consumed by four 40 watt bulb every day working 4 hours
equals space 4 space cross times space straight P space cross times space straight t space equals space 4 space cross times 40 space straight W space cross times space 4 space straight h space equals space 160 over 1000 space kW space cross times space 4 space straight h space equals space 0.64 space straight k space Wh
Total energy consumed every day
= 0.2 + 0.64 = 0.84 kWh
Total energy consumed in 30 days
= 0.84 x 30 = 25.2 kWh. Ans.

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For a heater rated at 4 kW and 220 V, calculate:
(i) the current;
(ii) the resistance of the heater;
(iii) the energy consumed in 2 hours; and
(iv) the cost if 1 kWh is priced at Rs 1.50.


Power, P = 4 kW = 4000 W
Voltage of the supply, V = 220 V 

(i) Current drawn by the heater, I = PV = 4000220 = 18.1  A 

(ii) Resistance of the heater, R = V2P = 220 × 2204000 = 12.1 Ω.  

(iii) Energy consumed = P x t = 4 kW x 2 h = 8 kWh.

(iv) Cost of energy if 1 kWh is priced at Rs 1.50 = 8 x 1.50 = Rs 12.00. 
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Two lamps, one rated 60 W at 220 V and other 40 W at 220 V, are connected in parallel to electric supply at 220 V.
(a) Draw the circuit diagram to show the connections.
(b) Calculate the current drawn from the electric supply.
(c) Calculate the total energy consumed by the two lamp together when they operate for one hour. 


(a) The required circuit diagram is shown below:

(a) The required circuit diagram is shown below:(b) Total power of t

(b) Total power of the two lamps = 60 + 40 = 100 W
Applied voltage, V = 220 V
Current drawn from the electric supply,
I = straight P over straight V space equals space 100 over 220 space equals space 5 over 11 straight A space equals space 0.45 space straight A

(c) Total energy consumed by the lamps in one hour
= 60 W x 1 h + 40 W x 1 h = 100 Wh = 0.1 kWh. Ans.
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An electrical heater is used on a 220 V supply and takes a current of 5 A
(i) What is its power?
(ii) What is the cost of using the heater for 50 hours if 1 kWh costs Rs 1.50?


(i) Given, 

Potential of electrical supply, V = 220 V

Current drawn by electric heater, I = 5 A

Power, P = VI = 220 x 5 = 1100 W.

(ii)
Power, P = 1100 W = 11001000 kW = 1.1 kW 

  t = 50 h 

Energy consumed = P x t
                            = 1.1 kW x 50 h
                            = 55 kWh 

Cost at the rate of Rs 1.50 per kWh = 55 x 1.50
                                                      = Rs 82.50.


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