Impedance in RLC Circuit

Q. For series $L-C-R$, graph between peak current and frequency ($\omega$) shown in the figure below.
The correct order for $R_1,R_{2}and{R}_3$

1. $R_1>R_2>R_3$
2. $R_2>R_1>R_3$
3. $R_3>R_1>R_2$
4. $R_3>R_2>R_1$

Q. For a series LCR circuit, power factor at resonance is equal to -

1. $0.9$
2. $0.5$
3. $0.7$
4. $1$

Q. In the given circuit, peak voltage across the resistor and capacitor are 6V and 8V. At an instant when voltage across capacitor is 4V in magnitude,

1. Voltage across resistance is $-3\sqrt{3}V$
2. Voltage across resistance is $3\sqrt{3}V$
3. Peak source voltage is $5\sqrt{3}$
4. Current in circuit is ahead of source voltage

Q. Solve this:

Q. An inductor coil stores U energy when i current is passed through it and dissipates energy at the rate of P. The time constant of the circuit, when this coil is connected across a battery of zero internal resistance is

$\left(1\right)\frac{4\mathrm{U}}{\mathrm{P}}\left(2\right)\frac{\mathrm{U}}{\mathrm{P}}\left(3\right)\frac{2\mathrm{U}}{\mathrm{P}}\left(4\right)\frac{2\mathrm{P}}{\mathrm{U}}$

Q. A resistor and an inductor are connected to an $\text{AC}$ supply of $120\text{V}$ and $50\text{Hz}$. The current in the circuit is $3\text{A}$. If the power consumed in the circuit is $108W$, then the resistance in the circuit is

1. $12\Omega$
2. $40\Omega$
3. $\sqrt{(52\times 28)}\Omega$
4. $360\Omega$

Q. In a series circuit R = 300 $\Omega$ , L = 0.9 H, C = 2.0 $\mu$F and $\omega$ = 1000 rad/sec. The impendence of the circuit is

1. $1300\Omega$
2. $900\Omega$
3. $500\Omega$
4. $400\Omega$

Q. An alternating voltage, of peak value $283\text{V}$ and of varying frequency, is applied across a series LCR combination in which, $R=3\Omega ,L=25\text{mH}$ and $C=400\mu \text{F}$. The frequency of the source for which the current and voltage are in phase, is -

Q.

A lamp consumes $1000J$ of electrical energy in $10s$. What is its power?

Q. A series R-C combination is connected to an AC voltage of angular frequency $\omega =500rad/s$. If the impedance of the R-C circuit is R $\sqrt{1.25}$, the time constant of the circuit in milliseconds upto two digits after the decimal point is
.