An inductor of reactance 100 text{ } Omega, a | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Given: Inductive reactance $X_L = 100 	ext{ } \Omega$, Capacitive reactance $X_C = 50 	ext{ } \Omega$, Resistance $R = 50 	ext{ } \Omega$, Volt

Vedclass · Accepted Answer

$1$

Vedclass · Answer

(A) Given: Inductive reactance $X_L = 100 	ext{ } \Omega$, Capacitive reactance $X_C = 50 	ext{ } \Omega$, Resistance $R = 50 	ext{ } \Omega$, Voltage $V = 10 	ext{ V}$.
First, calculate the impedance $Z$ of the $LCR$ series circuit:
$Z = \sqrt{R^2 + (X_L - X_C)^2}$
$Z = \sqrt{50^2 + (100 - 50)^2} = \sqrt{50^2 + 50^2} = \sqrt{2 	imes 50^2} = 50\sqrt{2} 	ext{ } \Omega$.
The current in the circuit is $I = \frac{V}{Z} = \frac{10}{50\sqrt{2}} = \frac{1}{5\sqrt{2}} 	ext{ A}$.
The average power dissipated in an $AC$ circuit is given by $P = I^2 R$.
$P = \left(\frac{1}{5\sqrt{2}}ight)^2 	imes 50 = \frac{1}{25 	imes 2} 	imes 50 = \frac{50}{50} = 1 	ext{ W}$.

An inductor of reactance $100 \text{ } \Omega$, a capacitor of reactance $50 \text{ } \Omega$, and a resistor of resistance $50 \text{ } \Omega$ are connected in series with an $AC$ source of $10 \text{ V}$, $50 \text{ Hz}$. Average power dissipated by the circuit is (in $\text{ W}$)

Similar Questions

$A$ circuit has three elements: a resistance of $11 \Omega$,a coil of inductive reactance $120 \Omega$,and a capacitive reactance of $120 \Omega$ in series,connected to an $A.C.$ source of $110 \, V, 60 \, Hz$. Which of the three elements has the minimum potential difference?

In a series $LCR$ circuit, the voltages across $L, C$, and $R$ are $50 \,V, 20 \,V$, and $40 \,V$ respectively. The $A.C.$ voltage applied across the combination of $LCR$ is: (in $\,V$)

In the circuit diagram shown,$X_C = 100 \, \Omega$,$X_L = 200 \, \Omega$,and $R = 100 \, \Omega$. The source voltage is $V = 200 \sin(\omega t) \, \text{V}$. The effective $(RMS)$ current through the source is:

In a series $LCR$ circuit,the voltages across $R, L$ and $C$ are shown in the figure. The voltage of the applied source is ........ $V$. (in $, V$)

$A$ capacitor and an inductance coil are connected in separate $AC$ circuits with a bulb glowing in both the circuits. The bulb glows more brightly when

Vedclass Test Series

Exam Paper Generator

Online Exam Module