First slide

Phasors and Phasor Diagrams

Question

A resistor and an inductor are connected in series to a 220 volt AC supply. If the potential difference across resistor is 132 volt, then the potential difference across the terminals of the inductor is

Easy

A

88 volt
B

352 volt
C

176 volt
D

$\sqrt{220 \times 132} volt$

Solution

$V_{L} = \sqrt{220^{2} - 132^{2}} volt$
$= \sqrt{(220 + 132) (220 - 132)}$
$= \sqrt{352 \times 88} volt = \sqrt{30976} volt = 176 volt.$

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