GATE EE
Electric Circuits
Network Elements
Previous Years Questions

## Marks 1

In the circuit shown below, the magnitude of the voltage V1 in volts, across the 8 k$$\Omega$$ resistor is ________. (round off to nearest integer). ...
In the given circuit, for voltage Vy to be zero, the value of β should be ______. (Round off to 2 decimal places). ...
Currents through ammeters A2 and A3 in the figure are 1∠10° and 1∠70°, respectively. The reading of the ammeter A1 (rounded off to 3 decimal places) i...
The current I flowing in the circuit shown below in amperes (round off to one decimal place) is ________. ...
The power supplied by the 25 V source in the figure shown below is ________W. ...
The equivalent resistance between the terminals A and B is ______ Ω. ...
In the portion of a circuit shown, if the heat generated in 5 Ω resistance is 10 calories per second then heat generated by the 4 Ω resistance, the ca...
RA and RB are the input resistances of circuits as shown below. The circuits extend infinitely in the direction shown. Which one of the following stat...
The voltages developed across the 3Ω and 2Ω resistors shown in the figure are 6V and 2V respectively, with the polarity as marked. What is the power (...
Two identical coupled inductors are connected in series. The measured inductances for the two possible series connections are 380 μH and 240 μH. Their...
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 ___...
C0 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 fi...
Consider a delta connection of resistors and it's equivalent star connection as shown below. If all elements of the delta connection are scaled by a f...
As shown in the figure, a 1 Ω resistance is connected across a source that has a load line v + i = 100. The current through the resistance is ...
If the electrical circuit of figure (b) is an equivalent of the coupled tank system of figure (a), then ...
How many 200 W/200 V incandescent lamps connected in series would consume the same total power as a single 100 W/200 V incandescent lamp?
The current through the $$2\,\,k\Omega$$ resistance in the circuit shown in Fig. is ...
The Thevenin's equivalent of a circuit operating at $$\omega = 5\,\,rad/s\,\,{V_{oc}} = 3.71\angle - {15.9^ \circ }$$ and $${Z_0} = 2.38 - j0.667\Om... In the figure given below the value of$$R$$is ... A segment of a circuit is shown in figure.$${v_R} = 5\,\,V,\,\,{v_C} = 4\sin 2t.$$The voltage$${V_L}$$is given by ... Fig. shows the waveform of the current passing through an inductor of resistance$$1\,\Omega $$and inductance$$2H.$$The energy absorbed by the... Given two coupled inductors$${L_1}$$and$${L_2}$$, their mutual inductance$$M$$satisfies Two incandescent light bulbs of$$40W$$and$$60W$$rating are connected in series across the mains. Then A voltage wafeform$$v\left( t \right) = 12\,{t^2}$$is applied across a$$1H$$inductor for$$t \ge 0,$$with initial current through it being ... For the circuit shown in Figure, the capacitance measured between terminals$$B$$and$$Y$$will be ... In the circuit shown in Figure, it is desired to have a constant direct current$$i(t)$$through the ideal inductor$$L.$$The nature of the voltage s... Energy stored in a capacitor over a cycle, when excited by an$$a.c.$$source is The v - i characteristic as seen from the terminal pair (A,B) of the network of Fig.(1) is shown in Fig.(2). If an inductance of value 6 mH is connect... All the resistances in the circuit of Fig. are of 1$$\Omega$$each. The value of current 'I' is ... Resistances in the circuit of fig. are of R$$\Omega$$each. The switch is initially open. What happens to the lamp's intensity when the switch is clo... ## Marks 2 The current i (in Ampere) in the 2 Ω resistor of the given network is _________. ... In the given circuit, the parameter k is positive, and the power dissipated in the 2 Ω resistor is 12.5 W. The value of k is ________. ... The power delivered by the current source, in the figure, is ________ W. ... An incandescent lamp is marked 40W, 240V. If resistance at room temperature$$\left(26^\circ\mathrm C\right)\;\mathrm{is}\;120\mathrm\Omega$$and temp... In the figure, the value of resistor R is$$\left(25+\frac{\mathrm I}2\right)\mathrm\Omega$$, where I is the current in amperes. The current I is ____... Three capacitors C1, C2 and C3 whose values are 10μF, 5μF and 2μF respectively, have breakdown voltages of 10V, 5V and 2V respectively. For the interc... If the 12 Ω resistor draws a current of 1A as shown in the figure, the value of resistance R is ... The equivalent capacitance of the input loop of the circuit shown in below ... For the circuit shown, find out the current flowing through the$$2\Omega $$resistance. Also identify the changes to be made to double the current t... Assuming ideal elements in the circuit shown below, the voltage$${V_{ab}}$$will be ... In the circuit shown in the figure, the value of the current$$i$$will be given by ... A$$3Vdc$$supply with an internal resistance of$$2\Omega $$supplies a passive non-linear resistance characterized by the relation ... In Fig., the value of the source voltage is ... In Fig.,$${R_a},\,\,{R_b},$$and$${R_c}$$are$$20\,\Omega ,\,\,10\,\Omega $$and$$10\,\Omega $$respectively. The resistances$${R_1},\,\,{R_2}$$... In Fig., the value of resistance$$R$$in$$\Omega $$is ... In Fig. the value of$$R$$is ... Consider the star network shown in Fig. The resistance between terminals$$A$$and$$B$$with$$C$$open is$$6\,\Omega ,$$between terminals$$B$$a... The circuit shown Fig. is equivalent to a load of ... When a periodic triangular voltage peak amplitude$$1V$$and frequency$$0.5Hz$$is applied to a parallel combination of$$1\,\Omega $$resi... When a resistor$$R$$is connected to a current source, it consumes a power of$$18W.$$when the same$$R$$is connected to a voltage source havi... Currents$${{\rm I}_1},\,{{\rm I}_2}$$and$${{\rm I}_3}$$meet at a junction (node) in a circuit. All currents are marked as entering the node. If$$...
The effective inductance of the circuit across the terminals $$A,B$$ in the Figure shown below is ...
A $$10$$ $$V$$ battery with an internal resistance of $$1\,\Omega$$ is connected across a nonlinear load whose $$V-1$$ characteristic is given by $$7... The value of$$E$$and$${\rm I}$$for the circuit shown in Figure, are .....$$V$$and ......$$A.$$... The voltage and current waveforms for an element are shown in Figure. The circuit element is .......... and its value is ......... ... The equivalent inductance seen at terminals$$A-B$$in Fig. is ....................$$H.$$... ## Marks 5 In the resistor network shown in Fig. all resistor values are$$1\,\,\Omega .A$$current of$$1A$$passes from terminal$$a$$to terminal$$b,$$... Solve the circuit shown in Fig. using the mesh method of analysis and determine the mesh currents$${{\rm I}_1},\,{{\rm I}_2},$$and$${{\rm I}_3}. ...
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