Representation of AC Current and Voltage By Rotating Vectors-Phasors

Given below are two statements:
Statement-I: In an ac circuit, the current through a capacitor leads the voltage across it.
Statement-II: In a.c. circuits containing pure capacitance only, the phase difference between the current and the voltage is $\pi$In the light of the above statements, choose the most appropriate answer from the options given below:
 

Given below are two statements:

Statement-I: In an ac circuit, the current through a capacitor leads the voltage across it.

Statement-II: In a.c. circuits containing pure capacitance only, the phase difference between the current and the voltage is $\mathrm{\pi }$

In the light of the above statements, choose the most appropriate answer from the options given below:

Select the correct phasor diagram of the circuit having only resistance.

Discuss the phasor diagram of an a.c circuit with a pure resistance only.

An A.C source supply voltage, $E=200 \sin 314\mathrm{t}$ is applied to a pure resistance circuit containing resistance $200 \mathrm{\Omega }$. Calculate the peak value of current.

If in ac circuit there is no leading or lagging between supplied voltage and current then ac circuit is named as

In a certain circuit, $E=200 \cos (314 \mathrm{t})$ and $I=\sin (314 \mathrm{t}+\mathrm{\pi }/4)$. Their vector representation is

In a circuit made up of resistance $4 \mathrm{\Omega }$, and inductance $0.01 \mathrm{H}$, an alternating emf $200 \mathrm{V}$ at $50 \mathrm{Hz}$ is connected, then the phase difference between the current and the emf in the circuit is:

$200 \mathrm{\Omega }$ resistance and $1 \mathrm{H}$ inductance are connected in series with an $\mathrm{AC}$ circuit. The frequency of the source is $\frac{200}{2\pi } \mathrm{Hz}$. Then phase difference in between $\mathrm{V}$ and $\mathrm{I}$ will be :-

In series $\mathrm{LCR}$ circuit, the phase angle between supply voltage and current is

Voltage and current in an AC circuit are given by $V=5\sin \left(100 \pi t-\frac{\pi }{6}\right)$ and $I=4\sin \left(100\pi t+\frac{\pi }{6}\right)$

For the equation $\mathrm{y}\left(\mathrm{t}\right)=5\left(\mathrm{cm}\right)\left[\sin \left(3\mathrm{\pi t}\right)+\sqrt{3}\cos \left(3\mathrm{\pi t}\right)\right]$ where $\mathrm{t}$ is in seconds, find amplitude and time period.

If the input voltage $V_{\mathrm{i}}$ to the circuit below is given by $V_{\mathrm{i}}\left(t\right)=A\cos \left(2\pi ft\right)\text{,}$ the output voltage is given by $V_{\mathrm{o}}\left(t\right)=B\cos \left(2\pi ft+\varphi \right)$.

Which one of the following four graphs best depict the variation of $\varphi$ vs $f$?

In an A.C. circuit, the resistance $\left(R\right)$ is connected in series with an inductor of self-inductance $\left(L\right)$. If phase angle between voltage and current be ${45}^o$ , the value of inductive reactance $\left(X_L\right)$ will be equal to.....

In an L.C.R. series a.c. circuit, the current

The circuit given in figure has a resistanceless choke coil $L$ and a resistance $R$. The voltage across $R$ and $L$ are given in figure. The virtual value of the applied voltage is

In a series LCR circuit the rms voltages across the inductance, capacitance and resistance are respectively $4 \mathrm{V}$, $8 \mathrm{V}$ and $5 \mathrm{V}$. The RMS voltage of the AC source in the circuit is

In a circuit $L\mathit{,}C$ and $R$ are connected in series with an alternating voltage source of frequency $f$. The current leads the voltage by $45°$. The value of $C$ is

If a circuit made up of a resistance $1\Omega$ and inductance 0.01 H, an alternating emf 200 volt at 50 Hz is connected, then find the phase difference between the current and the emf in the circuit