Alternating CurrentMedium
Question
To an ac power supply of 220 V at 50 Hz , a resistor of $20\Omega$, a capacitor of reactance $25\Omega$ and an inductor of reactance $45\Omega$ are connected in series. The corresponding current in the circuit and the phase angle between the current and the voltage is, respectively
Options
A.7.8 A and $30^{\circ}$
B.7.8 A and $45^{\circ}$
C.15.6 A and $30^{\circ}$
D.15.6 A and $45^{\circ}$
Solution
$X_{L} = 45\text{ }W,X_{C} = 25\text{ }W,R = 20\text{ }W$
$$\begin{matrix} & I = \frac{220}{\sqrt{\left( X_{L} - X_{C} \right)^{2} + R^{2}}} = \frac{220}{\sqrt{(45 - 25)^{2} + 20^{2}}} \\ & \ = \frac{220}{2\sqrt{2}} = \frac{11}{\sqrt{2}} = 7.779\text{ }A \\ & tan\phi = \frac{X_{L} - X_{C}}{R} = \frac{45 - 25}{20} = 1 \\ & f = 45^{\circ} \end{matrix}$$
Create a free account to view solution
View Solution FreeMore Alternating Current Questions
Quantity that remains unchanged in a transformer is:-...In a resistance of 25 Ω A.C. is passed to produce heat of the rate of 250 watt. The value of current in the resista...In order to avoid eddy currents in the core of a transformer :-...If the frequency of the source e.m.f. in an AC circuit is n, the power varies with a frequency :...The inductance of the oscillatory circuit of a radio station is 10 milli henry and its capacitance is 0.25μF. Takin...