Filament lamp designed to work at a potential difference 250v has power 100w. what will be the power of this lamp when connected to a 100v supply?
Answers
Answer:
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Answer:
The power of the filament lamp when connected to a 100 volt supply, is 16 watts.
Explanation:
- The total amount of electrical energy required to transfer in a particular unit of time is called electric power.
- The S.I unit used for power is the watt.
- Power is often expressed in two different formulas;
Power (P) = Voltage(V)²÷ Resistance(R)
or,
Power (P) = Current (I)² × Resistance(R)
Step-1
The given filament lamp has,
V = 250 volt
P = 100 watt
we know that, P = V² ÷ R
∴ R = V² ÷ P
R = (250)² ÷ 100
= 625 Ω
Step-2
Now, we have the resistance of the filament lamp and new voltage supply is given as,
V (new) = 100 volt
R = 625 Ω
And we know, P = V² ÷ R
∴ P = 100² ÷ 625 = 16 watt
Thus the power of the filament lamp is 16 watt.