An electric bulbis marked 250W, 230V
i) How much energy in joules does it consume in 1 hour?
ii) how long would this lamp take to use 1kWh energy when connected to 230 V mains?
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Answer:
Power (P) = 250 W
Voltage (V) = 230 V
(i) We know that,
W (energy consumed) = P×t
Given, t= 1h
Covert the hour into seconds since Joule = watt×sec
t=60×60 seconds
= 3600 seconds.
Now,
W= P×t
= 250×3600
= 9 × 100000 J
(ii) we know,
Energy (in kWh) = (V×Ixt)/1000
We don't have I (Ampere), therefore
I = P/V
= 250/230 A
= (Lets just keep it this way) 25/23 A
Now, given energy = 1 kWh
1 kWh= (230×25xt)/1000×23
=> (1000×23)/230×25= t
=> 4 hours = t
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