# GATE Questions & Answers of KCL, KVL, Node and Mesh Analysis

## What is the Weightage of KCL, KVL, Node and Mesh Analysis in GATE Exam?

Total 32 Questions have been asked from KCL, KVL, Node and Mesh Analysis topic of Electric Circuits subject in previous GATE papers. Average marks 1.53.

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 statements is TRUE?

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, in calories per second, is _______.

In the given circuit, the current supplied by the battery, in ampere, is _______.

A dc voltage with ripple is given by $v\left(t\right)=\left[100+10\mathrm{sin}\left(\omega t\right)-5\mathrm{sin}\left(3\omega t\right)\right]$ volts. Measurements of this voltage $v\left(t\right)$, made by moving-coil and moving-iron voltmeters, show readings of V1 and V2 respectively. The value of V2V1, in volts, is _________.

In the circuit shown below, the node voltage VA is ___________ V.

The voltage (V) and current (A) across a load are as follows.

$v\left(t\right)=100\mathrm{sin}\left(\omega t\right)$ ,

The average power consumed by the load, in W, is___________.

In the circuit shown below, the voltage and current sources are ideal. The voltage (Vout) across the current source, in volts, 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?

In the given circuit, the parameter k is positive, and the power dissipated in the 2 $\mathrm{\Omega }$ resistor is 12.5W. The value of k is________.

The line A to neutral voltage is A1015oV 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 power delivered by the current source, in the figure, is ________.

In the circuit shown below, the current through the inductor 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

If VA-VB=6V, then VC-VD 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

The input voltage given to a converter is
${v}_{i}=100\sqrt{2}\mathrm{sin}\left(100\pi t\right)\mathrm{V}$

The current drawn by the converter is

The input power factor of the converter is

The input voltage given to a converter is
${v}_{i}=100\sqrt{2}\mathrm{sin}\left(100\pi t\right)\mathrm{V}$

The current drawn by the converter is

The active power drawn by the converter 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 ${\overline{)I}}_{C}$ in the figure above is

As shown in the figure, a 1Ω resistance is connected across a source that has a load line v+ i = 100. The current through the resistance is

If the 12Ω resistor draws a current of 1A as shown in the figure, the value of resistance R is

The current through the 2 kΩ resistance in the circuit shown is

The equivalent capacitance of the input loop of the circuit shown is

For the circuit shown, find out the current flowing through the 2Ω resistance. Also identify the changes to be made to double the current through the 2Ω resistance

The Thevenin’s equivalent of a circuit operation at ω = 5 rads/s, has At this frequency, the minimal realization of the Thevenin’s impedance will have a

Assuming ideal elements in the circuit shown below, the voltage Vab will be

In the circuit shown in the figure, the value of the current i will be given by

The state equation for the current I1 in the network shown below in terms of the voltage Vx and the independent source V, is given by