$(a)$ State $Ohm's$ law. Express it mathematically.

$(b)$ Write symbols used in electric circuits to represent

$(i)$ variable resistance.

$(ii)$ voltmeter.

$(c)$ An electric bulb is rated $220, V$ and $100\, W$ When it is operated on $110\, V ,$ what will be the power consumed ?

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$(a)$ See Chapter at a Glance.

$(b)$ $\quad$ $(i)$ Variable resistance

$(c)$ Given $P=100\, W, V=220 \,V$

$V _{1}=110 V$

The resistance of the bulb is given by

$R =\frac{ V ^{2}}{ P }=\frac{(220)^{2}}{100}=484 \Omega$

Now, power at $110\, V$ is

$P=\frac{V^{2}}{R}=\frac{(110)^{2}}{484}=25 W$

1091-s196

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