Question

A heater rated as220v,880w is the current drown by the neater when connented to a220v DC main? calculate the resistance of the heater.

Answer 1

$\small \underline \bold{For \: a \: heater -}$

$\large \underline \bold{Given :-}$

$\: \: \: \: \:$$\small \bold{power \: (P) = 880 \: W}$

$\: \: \:$$\small \bold{voltage \: (V) = 220 \: volt}$

$\large \underline \bold{To \: Find :-}$

$\small \bold{Calculate \: the \: resistance \: of \: the \: heater \: ?}$

$\small \underline \bold{Usable \: Formula :-}$

$\: \: \: \: \:$$\small \bold{Power \: (P) =\dfrac{V^{2}}{R}}$

$\large \underline \bold{Solution :-}$

$\small \bold{On \: Using \: the \: above \: formula -}$

$\: \: \: \:$$\small \bold{R =\dfrac{V^{2}}{P}}$

$\: \: \: \:$$\small \bold{R =\dfrac{220\times \cancel{220}}{\cancel{880} \: 4}}$

$\: \: \: \:$$\small \bold{R =\dfrac{220}{4}}$

$\: \: \: \:$$\small \bold{R = 55}$ Ω

$\small \bold{The \: heater \: has \: a \: resistance \: of \: 55}$Ω .