Medium
$A$ resistor of $50 \Omega$,an inductor of self-inductance $(\frac{2}{\pi^2}) \text{ H}$,and a capacitor of unknown capacity are connected in series to an $A$.$C$. source of $100 \text{ V}, 50 \text{ Hz}$. When the voltage and current are in phase,the value of the capacitance is: (in $\mu \text{F}$)
- A$10$
- B$20$
- C$40$
- D$50$
Explore More
Similar Questions
The inductance $L$,capacitance $C$,and resistance $R$ are the values of the components connected in series to an $AC$ source of angular frequency $\omega$. The inductive and capacitive reactances are $X_L$ and $X_C$ respectively. If the circuit is purely resistive,then
When resonance is produced in a series $LCR$ circuit,then which of the following is not correct?
$A$ resistor of resistance $R$, an inductor of inductive reactance $2R$, and a capacitor of capacitive reactance $X_C$ are connected in series to an $A.C.$ source. If the series $LCR$ circuit is in resonance, then the power factor of the circuit and the value $X_C$ are respectively:
What is the $Q$-factor (Quality factor) and on what factors does it depend?
Medium
View SolutionMatch List-$I$ with List-$II$ :
List-$I$ List-$II$ $(a)$ $\omega L > \frac{1}{\omega C}$ $(i)$ Current is in phase with $emf$ $(b)$ $\omega L = \frac{1}{\omega C}$ $(ii)$ Current lags behind the applied $emf$ $(c)$ $\omega L < \frac{1}{\omega C}$ $(iii)$ Maximum current occurs $(d)$ Resonant frequency $(iv)$ Current leads the $emf$
Choose the correct answer from the options given below :
| List-$I$ | List-$II$ |
| $(a)$ $\omega L > \frac{1}{\omega C}$ | $(i)$ Current is in phase with $emf$ |
| $(b)$ $\omega L = \frac{1}{\omega C}$ | $(ii)$ Current lags behind the applied $emf$ |
| $(c)$ $\omega L < \frac{1}{\omega C}$ | $(iii)$ Maximum current occurs |
| $(d)$ Resonant frequency | $(iv)$ Current leads the $emf$ |
Choose the correct answer from the options given below :
Vedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo