Representation of AC Current and Voltage By Rotating Vectors-Phasors

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

In the question $44,$ the phase difference between the voltage across the source and current is

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.

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 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