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An electric lamp of \(100\ Ω\), a toaster of resistance \(50\ Ω\), and a water filter of resistance \(500\ Ω\) are connected in parallel to a \(220\ V\) source. What is the resistance of an electric iron connected to the same source that takes as much current as all three appliances, and what is the current through it?
The equivalent resistance of the resistors is
According to Ohm's law, the current is given as
On substituting the known values, we get the current drawn by the electric iron box as .
The resistance is calculated as
Therefore, the resistance of the electric iron box is .
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