An electric iron consumes energy at a rate of $840\, W$ when heating is at the maximum rate and $360\, W$ when the heating is-at the minimum. The voltage is $220\, V$. What are the current and the resistance in each case ?

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We know that the power input is $P=V I$

Thus, the current $I=P / V$

$(a)$ When heating is at the maximum rate,

$I=840 / 220=3.82 A$

and the resistance of the electric iron is

$R = V / I =220 / 3.82=57.60 \Omega$

$(b)$ When heating is at the minimum rate,

$I=360 / 220=1.64 A$

and the resistance of the electric iron is

$R = V / I =220 / 1.64=134.15 \Omega$

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