Question #55903

14 Electrical energy is sold by PHCN in units of kilowatt-hour (kWh). The lighting of a house is done with five 60W bulbs which are swithed on for approximately three hours per day. What is the lighting bill for the household over a period of 30days at the rate of N1.20 per kilowatt-hour?
N1.50
N25.30
N32.40
N52.20

15 A battery has emf 13.2V and internal resistance
24mΩ
. If the load current is 20.0A, find the terminal voltage o f the battery
12.7V
14.5V
16.8V
17.7V
1

Expert's answer

2016-02-20T00:00:58-0500

Answer on Question#55903 - Physics - Electromagnetism

14. Electrical energy is sold by PHCN in units of kilowatt-hour (kWh). The lighting of a house is done with five W0=60WW_{0} = 60\mathrm{W} bulbs which are switched on for approximately three hours per day. What is the lighting bill for the household over a period of 30 days at the rate of N1.20 per kilowatt-hour?

N1.50

N25.30

N32.40

N52.20

15. A battery has emf ε=13.2V\varepsilon = 13.2\mathrm{V} and internal resistance r=24mΩr = 24\mathrm{m}\Omega. If the load current is I=20.0AI = 20.0\mathrm{A}, find the terminal voltage of the battery

12.7V

14.5V

16.8V

17.7V

Solution:

14. The total power of 5 bulbs is


W=5W0=560W=300WW = 5 W _ {0} = 5 \cdot 6 0 W = 3 0 0 W


They are switched on for t=303h=90t = 30 \cdot 3\mathrm{h} = 90 hours over the period of 30 days. Therefore the total waste of energy over this period is given by


E=Wt=27kWhE = W \cdot t = 2 7 \mathrm {k W h}


This will cost the following sum for the household


S=27N1.20=N32.40S = 2 7 \cdot N 1. 2 0 = N 3 2. 4 0


15. The terminal voltage of the battery is given by the difference between its emf and the voltage drop in the internal resistance:


V=εIr=13.2V20A24mΩ=12.7VV = \varepsilon - I \cdot r = 1 3. 2 V - 2 0 A \cdot 2 4 m \Omega = 1 2. 7 V

Answer:

14. N32.40

15. 12.7V

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