Embibe Experts Solutions for Chapter: Alternating Current, Exercise 1: Uttar Pradesh Board-2018

According to the given figure showing LCR circuit, the frequency of source is equal to the resonant frequency.

find the reading of

$\left(\mathrm{i}\right)$ Voltmeter ${\mathrm{V}}_1$

According to the given figure showing LCR circuit, the frequency of source is equal to the resonant frequency.

find the reading of

$\left(\mathrm{ii}\right)$ Voltmeter ${\mathrm{V}}_2$

According to the given figure showing LCR circuit, the frequency of source is equal to the resonant frequency.

find the reading of

$\left(\mathrm{iii}\right)$ Ammeter $\mathrm{A}$

The equations of current and voltage in an a.c. circuit are $\mathrm{i}=2 \mathrm{sin\omega t}$ ampere and $\mathrm{V}=5 \mathrm{cos\omega t}$ volt respectively. Power loss in the circuit will be

What is meant by wattless current?

The equations of voltage and current in an a.c.circuit are

  $$\begin{gathered} \mathrm{E}=220\sqrt{2}\sin \left(\mathrm{\omega t}+\frac{\mathrm{\pi }}{6}\right) \\ i=15\sqrt{2}\sin \left(\mathrm{\omega t}-\frac{\mathrm{\pi }}{6}\right) \end{gathered}$$

respectively. Calculate phase difference between $\mathrm{E}$ and $\mathrm{i}$ and power loss in the circuit.

Find:

$\left(\mathrm{i}\right)$ the value of the phase difference between the current and the voltage in the given series LCR circuit, $\left(\mathrm{ii}\right)$ if a capacitor ${\mathrm{C}}_1$ is connected in parallel with the capacitor $\mathrm{C}$in order to make the power factor of the circuit unity $\left(1\right)$, then find out the value of the capacitance of ${\mathrm{C}}_1$.

Find:

$\left(\mathrm{ii}\right)$ if a capacitor ${\mathrm{C}}_1$ is connected in parallel with the capacitor $\mathrm{C}$in order to make the power factor of the circuit unity $\left(1\right)$, then find out the value of the capacitance of ${\mathrm{C}}_1$.