A hot plate of an electric oven connected to a $220\, V$ line has two resistors $A$ and $B$ each of $22\, \Omega$ resistance. These resistors may be used separately, in series or in parallel. Find the current flowing in all the three cases.
A hot plate of an electric oven connected to a $220\, V$ line has two resistors $A$ and $B$ each of $22\, \Omega$ resistance. These resistors may be used separately, in series or in parallel. Find the current flowing in all the three cases.
$(a)$ Separately : Current $I=\frac{V}{R}=\frac{220}{22}=10 A$.
$(b)$ In series: $R = R _{1}+ R _{2}=22+22=44 \Omega$
$\therefore$ $I=\frac{V}{R}=\frac{220}{44}=5 A$
$(c)$ In parallel $:$ $\frac{1}{R}=\frac{1}{R_{1}}+\frac{1}{R_{2}}=\frac{1}{22}+\frac{1}{22}$
$=\frac{1}{11}$
$\therefore \quad R=11 \Omega$
$I =\frac{ V }{ R }=\frac{220 A }{11 \Omega}=20 A$
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