$A$ circuit with an electrical load having impedance $Z$ is connected with an $AC$ source as shown in the diagram. The source voltage varies in time as $V(t) = 300 \sin (400 t) \text{ V}$,where $t$ is time in seconds. List-$I$ shows various options for the load. The possible currents $i(t)$ in the circuit as a function of time are given in List-$II$. Choose the option that describes the correct match between the entries in List-$I$ to those in List-$II$.
List-$I$ List-$II$
$(P)$ Resistor $R = 30 \ \Omega$ $(1)$ $i(t) = 5 \sin(400t)$
$(Q)$ Resistor $R = 30 \ \Omega$ and Inductor $L = 100 \text{ mH}$ $(2)$ $i(t) = 6 \sin(400t + 53^{\circ})$
$(R)$ Capacitor $C = 50 \ \mu\text{F}$,Resistor $R = 30 \ \Omega$,and Inductor $L = 25 \text{ mH}$ $(3)$ $i(t) = 10 \sin(400t)$
$(S)$ Capacitor $C = 50 \ \mu\text{F}$,Resistor $R = 60 \ \Omega$,and Inductor $L = 125 \text{ mH}$ $(4)$ $i(t) = 20 \sin(400t - 90^{\circ})$
$(5)$ $i(t) = 6 \sin(400t - 53^{\circ})$

  • A
    $P \rightarrow 3, Q \rightarrow 4, R \rightarrow 2, S \rightarrow 1$
  • B
    $P \rightarrow 1, Q \rightarrow 5, R \rightarrow 2, S \rightarrow 3$
  • C
    $P \rightarrow 3, Q \rightarrow 5, R \rightarrow 2, S \rightarrow 1$
  • D
    $P \rightarrow 1, Q \rightarrow 4, R \rightarrow 2, S \rightarrow 5$

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Similar Questions

Given below are two statements:
Statement-$I$: The reactance of an $ac$ circuit is zero. It is possible that the circuit contains a capacitor and an inductor.
Statement-$II$: In an $ac$ circuit, the average power delivered by the source never becomes zero.
In the light of the above statements, choose the correct answer from the options given below:

The phase angle between $e.m.f.$ and current in an $LCR$ series $ac$ circuit is:

When an inductor of inductance $L = \frac{6}{\pi} \ H$, a capacitor of capacitance $C = \frac{50}{\pi} \ \mu F$ and a resistor of resistance $R$ are connected in series with an $AC$ supply of rms voltage $V_{rms} = 220 \ V$ and frequency $f = 50 \ Hz$, the rms current through the circuit is $I_{rms} = 440 \ mA$. Match the inductive reactance $X_L$, the capacitive reactance $X_C$, the resistance $R$, and the impedance $Z$ of the circuit given in List-$I$ with the corresponding values given in List-$II$.
List-$I$List-$II$
$(A) \ X_L$$(i) \ 200 \ \Omega$
$(B) \ X_C$$(ii) \ 300 \ \Omega$
$(C) \ R$$(iii) \ 500 \ \Omega$
$(D) \ Z$$(iv) \ 600 \ \Omega$

At very high frequencies,the effective impedance of the given circuit will be $.... \Omega$.

In an $AC$ circuit, the instantaneous current is zero when the instantaneous voltage is maximum. In this case, the source may be connected to:
$A$. Pure inductor.
$B$. Pure capacitor.
$C$. Pure resistor.
$D$. Combination of an inductor and capacitor.
Choose the correct answer from the options given below:

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