Recent questions in Circuit Analysis

A source of angular frequency $1 \; \mathrm{rad} / \mathrm{sec}$ has a source impedance consisting of $1 \Omega$ resistance in series with $1 \; \mathrm{H}$ inductance. T...

A series $\text{RLC}$ circuit has a resonance frequency of $1 \; \mathrm{kHz}$ and a quality factor $\text{Q}=100$. If each of $\text{R, L}$ and $\text{C}$ is doubled fro...

The differential equation for the current $i(t)$ in the circuit of the figure is$2 \frac{d^2 i}{d t^2}+2 \frac{d i}{d t}+i(t)=\sin t$$\frac{d^2 i}{d t^2}+2 \frac{d i}{d t...

The current flowing through the resistance $\text{R}$ in the circuit in the figure has the form $\text{P} \cos 4 t$, where $\text{P}$ is$(0.18+j 0.72)$$(0.46+j 1.90)$$-(0...

The circuit for $\text{Q. 33-34}$ are given in the figure. For both are the questions, assume that the switch $S$ is in position $1$ for a long time and thrown to positio...

The circuit for $\text{Q. 33-34}$ are given in the figure. For both are the questions, assume that the switch $S$ is in position $1$ for a long time and thrown to positio...

An input voltage $v(t)=10 \sqrt{2} \cos \left(t+10^{\circ}\right)+10 \sqrt{3}$ $\cos \left(2 t+10^{\circ}\right) \mathrm{V}$ is applied to a series combination of resista...

An ideal sawtooth voltage waveform of frequency $500 \mathrm{~Hz}$ and amplitude $3 \mathrm{~V}$ is generated by charging a capacitor of $2 \; \mu \mathrm{F}$ in every cy...

The equivalent inductance measured between the terminals $1$ and $2$ for the circuit shown in the figure is$\mathrm{L}_{1}+\mathrm{L}_{2}+\mathrm{M}$$\mathrm{L}_{1}+\math...

The circuit shown in in the figure, with $R=\frac{1}{3} \Omega$, $\mathrm{L}=\frac{1}{4} \mathrm{H}, \mathrm{C}=3 \mathrm{~F}$ has input voltage $v(t)=\sin 2 t$. The resu...

For the circuit shown in in the figure, the time constant $\text{RC}=1 \mathrm{~ms}$. The input voltage is $v_{i}(t)=\sqrt{2}$ $\sin 10^{3} t$.The output voltage $v_{0}(t...

For the $\text{R-L}$ circuit shown in the figure, the input voltage $v_{i}(t)=u(t)$. The current $i(t)$ is

The circuit in the given figure is alow-pass filterhigh-pass filterband-pass filterband-reject filter

The circuit shown in the figure has initial current $i_{t}\left(0^{-}\right)=1 \mathrm{~A}$ through the inductor and an initial voltage $v_{c}\left(0^{-}\right)=-1 \mathr...

For the circuit shown in the figure, the initial conditions are zero. Its transfer function$$ H(s) = \frac{V_{c}(s)}{V_{i}(s)}$$$\frac{1}{s^{2}+10^{6} s+10^{6}}$$\frac{10...

Consider the following statements $\text{S1}$ and $\text{S2}$$\text{S1} : $ At the resonant frequency the impedance of a series $\mathrm{R}-\mathrm{L}-\mathrm{C}$ circuit...

The condition on $\mathrm{R}, \mathrm{L}$ and $\mathrm{C}$ such that the step response $y(t)$ in the figure has no oscillations, is$\mathrm{R} \geq \frac{1}{2} \sqrt{\fra...

In a series $\mathrm{RLC}$ circuit, $\mathrm{R}=2 \; \mathrm{k} \Omega, \mathrm{L}=1 \; \mathrm{H}$, and $\mathrm{C} \frac{1}{400}=\mu \mathrm{F}$. The resonant frequency...

The maximum power that can be transferred to the load resistor $R_{L}$ from the voltage source in the figure is$1 \mathrm{~W}$$10 \mathrm{~W}$$0.25 \mathrm{~W}$$0.5 \math...

For the circuit show in the figure, the instantaneous current $i_{i}(t)$ is$\frac{10 \sqrt{3}}{2} \angle 90^{\circ} \mathrm{Amps}$.$\frac{10 \sqrt{3}}{2} \angle-90^{\circ...