In the circuit shown below, the node voltage V_{A} is ___________ V.
$v\left(t\right)=100\mathrm{sin}\left(\omega t\right)$ ,
$i\left(t\right)=10\mathrm{sin}\left(\omega t-{60}^{\xb0}\right)+2\mathrm{sin}\left(3\omega t\right)+5\mathrm{sin}\left(5\omega t\right)$
The average power consumed by the load, in W, is___________.
The voltages developed across the 3 Ω and 2 Ω resistors shown in the figure are 6V and 2V respectively, with the polarity as marked. What is the power (in Watt) delivered by the 5V voltage source?
For the given circuit the Thevenin equivalent is to be determined. The Thevenin voltage,${V}_{Th}$(in volt), seen from terminal AB is _________.
An inductor is connected in parallel with a capacitor as shown in the figure.
As the frequency of current i is increased, the impedance (Z) of the network varies as
The self inductance of the primary winding of a single phase, 50 Hz, transformer is 800 mH, and that of the secondary winding is 600 mH. The mutual inductance between these two windings is 480 mH. The secondary winding of this transformer is short circuited and the primary winding is connected to a 50 Hz, single phase, sinusoidal voltage source. The current flowing in both the winding is less than their respective rated currents. The resistance of both windings can be neglected. In this connection, what is the effective inductance (in mH) seen by the source?
The circuit shown in the figure has two sources connected in series. The instantaneous voltage of the AC source (in volt) is given by v(t) = 12 sint. If the circuit is in steady-state, then the rms value of the current (in Ampere) flowing in the circuit is ______.
In a linear two-port network, when 10 V is applied to Port 1, a current of 4 A flows through Port 2 when it is short-circuited. When 5 V is applied to Port1, a current of 1.25 A flows through a 1$\mathrm{\Omega}$ resistance connected across Port 2. When 3 V is applied to Port 1, then current (in Ampere) through a 2$\mathrm{\Omega}$ resistance connected across Port 2 is _________.
In the given circuit, the parameter k is positive, and the power dissipated in the 2$\mathrm{\Omega}$ resistor is 12.5 W. The value of k is________.
A series RL circuit is excited at t = 0 by closing a switch as shown in the figure. Assuming zero initial conditions, the value of $\frac{{\mathrm{d}}^{2}i}{\mathrm{d}{t}^{2}}$ at t = ${0}^{+}$ is
The current i (in Ampere) in the 2 $\mathrm{\Omega}$ resistor of the given network is ____ .
Find the transformer ratios a and b that the impedance (${\mathrm{Z}}_{in}$) is resistive and equal 2.5$\mathrm{\Omega}$ when the network is excited with a sine wave voltage of angular frequency of 5000 rad/s.
In the given network ${V}_{1}=100\angle {0}^{\xb0}$0°V, ${V}_{2}=100\angle -{120}^{\xb0}$V, ${V}_{3}=100\angle +{120}^{\xb0}$V. The phasor current i (in Ampere) is
Two identical coils each having inductance L are placed together on the same core. If an overall inductance of $\alpha$L is obtained by interconnecting these two coils, the minimum value of $\alpha$ is ________.
The three circuit elements shown in the figure are part of an electric circuit. The total power absorbed by the three circuit elements in watts is __________.
C_{0} is the capacitance of a parallel plate capacitor with air as dielectric (as in figure (a)). If, half of the entire gap as shown in figure (b) is filled with a dielectric of permittivity ${\mathit{\in}}_{r}$, the expression for the modified capacitance is
A combination of 1 µF capacitor with an initial voltage${\nu}_{c}\left(0\right)=-2\nu $ in series with a 100 O resistor is connected to a 20 mA ideal dc current source by operating both switches at t = 0 s as shown. Which of the following graphs shown in the options approximates the voltage v_{s} across the current source over the next few seconds?
An incandescent lamp is marked 40 W, 240V. If resistance at room temperature (26°C) is 120 Ω, and temperature coefficient of resistance is 4.5x10^{-3}/°C, then its ‘ON’ state filament temperature in °C is approximately _______
In the figure, the value of resistor R is (25 + I/2) ohms, where I is the current in amperes. The current I is ______
The following four vector fields are given in Cartesian co-ordinate system. The vector field which does not satisfy the property of magnetic flux density is
(C) ${x}^{2}{\mathbf{a}}_{x}+{y}^{2}{\mathbf{a}}_{y}+{z}^{2}{\mathbf{a}}_{z}$
Two identical coupled inductors are connected in series. The measured inductances for the two possible series connections are 380 μH and 240 μH. Their mutual inductance in μH is ________
The switch SW shown in the circuit is kept at position ‘1’ for a long duration. At t = 0+, the switch is moved to position ‘2’. Assuming |V_{o2}| > |V_{o1}|, the voltage v_{c}(t) across the capacitor is
A parallel plate capacitor consisting two dielectric materials is shown in the figure. The middle dielectric slab is placed symmetrically with respect to the plates.
If the potential difference between one of the plates and the nearest surface of dielectric interface is 2 Volts, then the ratio ε_{1} : ε_{2} is
Assuming an ideal transformer, the Thevenin’s equivalent voltage and impedance as seen from the terminals x and y for the circuit in figure are
The voltage across the capacitor, as shown in the figure, is expressed as
${V}_{c}\left(t\right)={A}_{1}\mathrm{sin}\left({\omega}_{1}t-{\theta}_{1}\right)+{A}_{2}\mathrm{sin}\left({\omega}_{2}t-{\theta}_{2}\right)$
The values of A _{1}and A _{2} respectively, are
The total power dissipated in the circuit, shown in the figure, is 1 kW.
The voltmeter, across the load, reads 200 V. The value of X_{L} is ___________.
The magnitude of magnetic flux density $\left(\overrightarrow B\right)$ at a point having normal distanced meters from an infinitely extended wire carrying current of I A is$\frac{{\mu}_{0}I}{2\pi d}$ (in SI units). An infinitely extended wire is laid along the x-axis and is carrying current of 4 A in the +ve x direction. Another infinitely extended wire is laid along the y-axis and is carrying 2 A current in the +ve y direction. ${\mu}_{0}$ is permeability of free space. Assume $\widehat i$, $\widehat j$, $\widehat k$ to be unit vectors along x, y and z axes respectively
Assuming right handed coordinate system, magnetic field intensity, $\overrightarrow H$ at coordinate (2,1,0) will be
The line A to neutral voltage is A10∠15^{o}V for a balanced three phase star-connected load with phase sequence ABC. The voltage of line B with respect to line C is given by
The driving point impedance Z(s) for the circuit shown below is
A non-ideal voltage source V_{s} has an internal impedance of Z_{s}. If a purely resistive load is to be chosen that maximizes the power transferred to the load, its value must be
The Norton’s equivalent source in amperes as seen into the terminals X and Y is _______.
The power delivered by the current source, in the figure, is ________.
A series RLC circuit is observed at two frequencies. At ω_{1}=1 krad/s, we note that source voltage ${V}_{1}=100\angle {0}^{o}V$ results in a current ${I}_{1}=0.03\angle {31}^{o}A$. At ${\omega}_{2}=2$ krad/s, the source voltage ${V}_{2}=100\angle {0}^{o}V$ results in a current ${I}_{1}=2\angle {31}^{o}A$. The closest values for R,L,C out of the following options are
A source ${\nu}_{s}\left(t\right)=V\mathrm{cos}100\pi t$ has an internal impedance of $(4+j3)\mathrm{\Omega}$.If a purely resistive load connected to this source has to extract the maximum power out of the source, its value in $\mathrm{\Omega}$ should be
The flux density at a point in space is given by $\mathbf{B}\mathbf{=}4x{\mathbf{a}}_{\mathrm{x}}+2ky{\mathbf{a}}_{\mathbf{y}}+8{\mathbf{a}}_{\mathbf{z}}$ Wb/m^{2}. The value of constant k must be equal to
Consider a delta connection of resistors and its equivalent star connection as shown below. If all elements of the delta connection are scaled by a factor k, k > 0, the elements of the corresponding star equivalent will be scaled by a factor of
In the circuit shown below, if the source voltage ${V}_{s}=100\angle 53.13\xb0\mathrm{V}$ then Thevenin’s equivalent voltage in Volts as seen by the load resistance R_{L} is
Three capacitors C_{1}, C_{2}, and C_{3}, whose values are 10μF, 5μF, and 2μF respectively, have breakdown voltages of 10V, 5V, and 2V respectively. For the interconnection shown, the maximum safe voltage in Volts that can be applied across the combination and the corresponding total charge in μC stored in the effective capacitance across the terminals are respectively
Two magnetically uncoupled inductive coils have Q factors q_{1} and q_{2} at the chosen operating frequency. Their respective resistances are R_{1} and R_{2}. When connected in series, their effective Q factor at the same operating frequency is
The following arrangement consists of an ideal transformer and an attenuator which attenuates by a factor of 0.8. An ac voltage V_{WX1} = 100V is applied across WX to get an open circuit voltage V_{YZ1} across YZ. Next, an ac voltage V_{YZ2} = 100V is applied across YZ to get an open circuit voltage V_{WX2} across WX. Then, V_{YZ1}/V_{WX1},V_{WX2}/V_{YZ2} are respectively,
In the circuit shown below, the current through the inductor is
The impedance looking into nodes 1 and 2 in the given circuit is
A two-phase load draws the following phase currents: ${i}_{1}\left(t\right)={I}_{m}\mathrm{sin}\left(\omega t-{\Phi}_{1}\right)$, ${i}_{2}\left(t\right)={I}_{m}\mathrm{cos}\left(\omega t-{\Phi}_{2}\right)$.These currents are balanced if ${\Phi}_{1}$ is equal to
The average power delivered to an impedance (4-j3)$\Omega $ by a current $5\mathrm{cos}\left(100\pi t+100\right)A$ is
In the following figure, C_{1} and C_{2} are ideal capacitors. C_{1} has been charged to 12 V before the ideal switch S is closed at t = 0. The current i(t) for all t is
If V_{A}-V_{B}=6V, then V_{C}-V_{D} is
Assuming both the voltage sources are in phase, the value of R for which maximum power is transferred from circuit A to circuit B is
With 10 V dc connected at port A in the linear nonreciprocal two-port network shown below, the following were observed:
(i) 1Ω$$ connected at port B draws a current of 3 A (ii) 2.5Ω$$ connected at port B draws a current of 2 A
For the same network, with 6 V dc connected at port A, 1Ω connected at port B draws 7/3 A. If 8 V dc is connected to port A, the open circuit voltage at port B is
With 10 V dc connected at port A, the current drawn by 7Ω connected at port B is
In the circuit shown, the three voltmeter readings are V_{1}=220V , V_{2}=122V , V_{3}=136V .
The power factor of the load is
If R_{L}=5Ω, the approximate power consumption in the load is
The r.m.s value of the current i (t) in the circuit shown below is
The voltage applied to a circuit is 100 $\sqrt{2}$ cos (100$\pi $t) volts and the circuit draws a current of 10 $\sqrt{2}$ sin (100$\pi $t + $\pi $ / 4) amperes. Taking the voltage as the reference phasor, the phasor representation of the current in amperes is