an electric lamp of 100 Ohm,a toaster of resistance 50 Ohm,and a water filter of resistance 500 ohm are connected in parallel to a 220 V source.What is the resistance of an electic iron connected to the same source that takes as much current as all three appliances and what is the current through it
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Explanation:
Therefore total current os 7.04 Ampere
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In a parallel arrangement, the potential difference remain same but electric current is different.
Here, we have R₁ = 100 Ω, R₂ = 50 Ω and R₃ = 500 Ω
Total 1/R = 1/R₁ + 1/R₂ + 1/R₃
Total 1/R = 1/100 Ω + 1/50 Ω + 1/500 Ω
Total 1/R = ( 5 + 10 + 1 )/500
Total 1/R = 16/500
500/16 = Total R
Total Resistance = 500/16 Ω
Since, R = V/i
500/16 = 220/i
i = 220 × 16/500
i = 7.04 A
- Here resistance and electric current used will be same.and therefore answers are :-
- [1] 500/16 Ω OR In Decimal, 31.25 Ω
- [2] 7.04 A
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