GATE EE
Electric Circuits
Previous Years Questions

## Marks 1

An inductor having a Q-factor of 60 is connected in series with a capacitor having a Q-factor of 240. The overall Q-factor of the circuit is ________....
The network shown below has a resonant frequency of 150 kHz and a bandwidth of 600 Hz. The Q-factor of the network is _______. (round off to nearest i...
The mean square value of the given periodic waveform f(t) 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 ne...
Find the transformer ratios a and b that the impedance (Zin) is resistive and equal 2.5 Ω when the network is excited with a sine wave voltage of angu...
The average power delivered to an impedance $$\left(4-j3\right)$$ Ω by a current $$5\cos\left(100\mathrm{πt}+100\right)\;A$$ is
A two phase load draws the following phase currents: $$i_1\left(t\right)=I_m\sin\left(\omega t-\phi_1\right)$$, $$i_2\left(t\right)=I_m\cos\le... The r.m.s value of the current i(t) in the circuit shown below is ... The voltage applied to a circuit is$$100\sqrt2\cos\left(100\mathrm{πt}\right)$$volts and the circuit draws a current of$$10\sqrt2\;\sin\left(100\ma...
The value of $$Z$$ in Fig., which is most appropriate to cause parallel resonance at $$500$$ $$Hz$$ is ...
In a series $$RLC$$ circuit at resonance, the magnitude of the voltage developed across the capacitor
A series $$R-L-C$$ circuit when excited by a $$10$$ $$V$$ sinusoidal voltage source of variable frequency, exhibits resonance at $$100$$ $$Hz$$ and ha...
The $$RMS$$ value of half $$-$$ wave rectified symmetrical square wave current of $$2A$$ is
The current in the circuit shown in figure is ...
A sinusoidal source of voltage $$V$$ and frequency $$f$$ is connected to a series circuit of variables resistance, $$R$$ and a fixed reactance, $$X.$$...
A circuit with a resistor, inductor and capacitor in series is resonant at $${f_0}\,\,Hz.$$ If all the component values are now doubled, the new reson...
In the circuit shown in Fig. $$X$$ $$-$$ is an element which always absorbs power. During a particular operation, it sets up a current of $$1$$ $$amp... A series$$R-L-C$$circuit has the following parameter values:$$R = 10\Omega ,\,\,L = 0.01\,H,\,\,C = 100\,\,m\,\,F.$$The$$Q$$factor of the circ... In the circuit of Figure, Ammeter$${A_2}$$reads$$12A$$and$${A_3}$$reads$$9A.{A_1}$$will read ______ ... At resonance, the given parallel circuit constituted by an iron - cored coil and a capacitor behaves like ... In the following circuit (Fig.)$$i(t)$$under steady state is ... The following circuit (Fig.) resonates at ... ## Marks 2 A 0.1 μF capacitor charged to 100 V is discharged through a 1 kΩ resistor. The time in ms (round off to two decimal places) required for the voltage a... In the circuit shown below, the value of capacitor C required for maximum power to be transferred to the load is ... In the circuit shown below, the supply voltage is 10sin(1000t) volts. The peak value of the steady state current through the 1Ω resistor, in amperes, ... The circuit below is excited by a sinusoidal source. The value of R, in Ω, for which the admittance of the circuit becomes a pure conductance at all f... The circuit shown in the figure has two sources connected in series. The instantaneous voltage of the AC source (in volt) is given by v(t) = 12sint. I... In the given network$$V_1=100\angle0^\circ V$$,$$V_2=100\angle-120^\circ V$$,$$V_3=100\angle+120^\circ 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$$L is obtained by interconnect... A symmetrical square wave of 50% duty cycle has amplitude of ±15V and time period of 0.4$$\mathrm\pi$$ms. This square wave is applied across a series... A series RLC circuit is observed at two frequencies. At$$\omega_1$$= 1k rad / s, we note that source voltage$$V_1=100\angle0^\circ V$$results in a... The total power dissipated in the circuit, show in the figure, is 1kW. The ideal voltmeter, across the load, reads 200 V. The value of XL is ________... The voltage across the capacitor, as sown in the figure, is expressed as$$\$V_c\left(t\right)=A_1\sin\left(\omega_1t-\theta_1\right)+A_2\sin\left(\ome...
Two magnetically uncoupled inductive coils have Q factors q1 and q2 at the chosen operating frequency. Their respective resistances are R1 and R2 . Wh...
In the circuit shown, the three voltmeter readings are V1 = 220V, V2 = 122V , V3 = 136V. The power factor of the load is...
In the circuit shown, the three voltmeter readings are V1 = 220V, V2 = 122V , V3 = 136V. If RL=5 Ω , the approximate power consumption in the load is...
An RLC circuit with relevant data is given below. The power dissipated in the resistor R is...
An RLC circuit with relevant data is given below. The current $${\underline I}_C$$ in the figure above is ...
The $$R-L-C$$ series circuit shown is supplied from a variable frequency voltage source. The admittance $$-$$ locus of the $$R-L$$ $$-C$$ network at ...
In the figure given below, all phasors are with reference to the potential at point $$''O''.$$ The locus of voltage phasor $${V_{YX}}$$ as $$R$$ is va...
The resonant frequency for the given circuit will be ...
The circuit shown in the figure is energized by a sinusoidal voltage source $${V_1}$$ at a frequency which causes resonance with a current of $${\rm I... The$$RL$$circuit of the figure is fed from a constant magnitude, variable frequency sinusoidal voltage source$${V_{IN.}}$$At$$100Hz,$$the$$R$$... In Fig. the admittance values of the elements in Siemens are$${Y_R} = 0.5 + j0,{Y_L} = 0 - j\,1.5,{Y_C} = 0 + j\,0.3$$respectively. Th... In the circuit of Fig. the magnitudes of$${V_L}$$and$${V_C}$$are twice that of$${V_R}$$. The inductance of the coil is ... In the circuit shown in Fig. what value of$$C$$will cause a unity power factor at the$$ac$$source? ... A series$$R-L-C$$circuit has$$R = 50\Omega ;L=100\mu H$$and$$C = 1\,\,\mu F.$$The lower half power frequency of the circuit is A first order, low pass filter is given with$$R = 50\,\,\Omega $$and$$C = 5\mu F.$$What is the frequency at which the gain of the voltage tr... In the circuit shown in Fig. it is found that the input$$ac$$voltage$$\left( {{V_i}} \right)$$and current$$i$$are in phase. The coupling coeffi... The impedance seen by the source in the circuit in Fig. is given by ... If an$$ac$$voltage wave is corrupted with an arbitrary number of harmonics, then the overall voltage waveform differs from its fundamental frequency... A fixed capacitor of reactance –$$j0.02\Omega $$is connected in parallel across a series combination of a fixed inductor of reactance$$j0.01$$... The voltage phasor of a circuit is$$10\angle {15^0}\,V$$and the current phasor is$$2\,\,\angle - {45^0}A.$$The active and the reactive powers in ... Two identical coils of negligible resistance when connected in series across a$$200V,50Hz$$source draws, a current of$$10A.$$When t... A coil (which can be modeled as a series$$RL$$circuit) has been designed for high$$-Q$$performance at a rated voltage and a specified frequen... In the given circuit, the voltage$$\overline {{V_L}} $$has a phase angle of ____________ with respect to$$\overline {{V_S}} .$$... ## Marks 5 Determine the resonance frequency and the$$Q-$$factor of the circuit shown in Fig. Data:$$\,\,\,\,\,R = 10\,\Omega ,\,\,\,\,\,\,\,\,\,\,\,\...
A circuit consisting of a single resistor $$R$$ and an inductor $$L$$ in series is driven by a $$25$$ $$V$$ $$rms,$$ $$50$$ $$Hz$$ sinusoidal voltage ...
Determine the impedance seen by the source $${V_s} = 24\angle {0^0}$$ in the network shown in Fig. ...
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