First slide

Phasors and Phasor Diagrams

Question

An alternating emf of frequency 50Hz is applied to a series LCR circuit of resistance 20 $Ω$ , an inductance of 100mH and a capacitor of 30mF. The correct statement of the following is

Moderate

A

current leads applied emf
B

current lags emf
C

current and emf are in the same phase
D

The difference between inductive and capacitive reactance is 50 $Ω$

Solution

n = 50Hz $ω = 100 π$
$\begin{array}{l} L ω = 100 \times 10^{- 3} \times 100 π = 10 π \\ \frac{1}{C ω} = \frac{1}{30 \times 10^{- 3} \times 100 π} = \frac{1}{3 π} \\ L ω > \frac{1}{C ω} V_{L} > V_{C} \end{array}$
So voltage leads the current

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