$(a)$ Calculate the resistance of the wire using the graph.
$(b)$ How many $176 \,\Omega$ resistors in parallel are required to carry $5\, A$ on a $220\, V$ line ?
$(c)$ Define electric power. Derive relation between power, potential difference and resistance.
$(a)$ Calculate the resistance of the wire using the graph.
$(b)$ How many $176 \,\Omega$ resistors in parallel are required to carry $5\, A$ on a $220\, V$ line ?
$(c)$ Define electric power. Derive relation between power, potential difference and resistance.
$(a)$ The resistance is given by $R = V / I$
$=2 / 0.1=20 \Omega$
$(b)$ Resistance of the circuit with $176 \Omega$ resistors in parallel $R = V / I$
$=220 / 5=44 \Omega$
Let $n$ resistors of $176 \Omega$ be connected in parallel, then
$1 / 44=n / 176$
Hence, $\quad n=176 / 44=4$
$(c)$ The rate at which electric energy is dissipated or consumed in an electric circuit is called electric power.
We know that, $P = W / t .$ Now, $W = V ^{2} t / R$
therefore,
$P=\frac{W}{t}=\frac{V^{2} t}{R t}=\frac{V^{2}}{R}$
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