An electric heater draws a steady 16.0 a current in a circuit with a 120 v power supply. it operates 4.0 h per day for a month (30 days). the electric company charges 10.0 cents per kwh. (i) calculate the power consumed by the heater in watts. (ii) calculate the energy in kwh consumed by the heater in one month. (iii) calculate the total dollar amount charged monthly by the electric company cost

i) 1920 W

ii) 230.4 kWh

iii) $23.04

Explanation:

i = steady current drawn = 16.0 A

V = Voltage of the power supply = 120 Volts

T = Time of operation per day = 4 h

n = number of days = 30

t = total time spent during operation = n T = (30) (4) = 120 h

i)

Power consumed by heater is given as

P = i V

P = (16) (120)

P = 1920 Watt

ii)

Energy consumed is given as

E = P t

E = (1920) (120)

E = 230400 Wh

E = 230.4 kWh

iii)

c = charge per kW of electricity = 10 cents

C = Total cost

Total cost is given as

C = c E

C = (10) (230.400)

C = $23.04

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