Difficult
$A$ series $LCR$ circuit contains inductance $5 \ mH$,capacitance $2 \ \mu F$,and resistance $10 \ \Omega$. If the frequency of the $A.C.$ source is varied,what is the frequency at which maximum power is dissipated?
- A$ \frac{10^{5}}{\pi} \ Hz $
- B$ \frac{10^{-5}}{\pi} \ Hz $
- C$ \frac{2}{\pi} \times 10^{5} \ Hz $
- D$ \frac{5}{\pi} \times 10^{3} \ Hz $
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Similar Questions
The output voltage (taken across the resistance) of an $L-C-R$ series resonant circuit falls to half its peak value at a frequency of $200 \,Hz$ and again reaches the same value at $800 \,Hz$. The bandwidth of this circuit is ............. $\,Hz$.
What is resonance in an $LCR$ series circuit?
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 :
In a series $LCR$ circuit,a resistor of $300 \ \Omega$,a capacitor of $25 \ \text{nF}$ and an inductor of $100 \ \text{mH}$ are used. For maximum current in the circuit,the angular frequency of the ac source is $. . . . \times 10^4 \ \text{rad s}^{-1}$.
$A$ circuit containing resistance $R_1$,inductance $L_1$,and capacitance $C_1$ connected in series resonates at the same frequency $f_r$ as another circuit containing $R_2$,$L_2$,and $C_2$ in series. If the two circuits are connected in series,then the new frequency at resonance is
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