First slide

Phasors and Phasor Diagrams

Question

A circuit has a resistance of $11 Ω,$ an inductive reactance of $25 Ω$ and a capacitive resistance of $18 Ω .$ It is connected to an AC source of 260 V and 50 Hz. The current through the circuit (in amperes) is

Moderate

A

11
B

15
C

18
D

20

Solution

$Z = \sqrt{R^{2} + {(X_{L} - X_{C})}^{2}} = \sqrt{(11)^{2} + (25 - 18)^{2}} = 13 Ω$
Current, $i = \frac{260}{13} = 20 A$

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