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GATE EE Electric Circuits — practice questions

Explore 30 free Electric Circuits questions in GATE EE Electrical Engineering. Open each question or exercise to read its content, reference answers and available explanation.

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Electric Circuits questions and exercises with answers

Showing questions 1–30 of 30.

OHM'S LAW states the relationship between voltage $V$, current $I$, and resistance $R$ asRead the answer and worked solution →KIRCHHOFF'S CURRENT LAW (KCL) states that at any nodeRead the answer and worked solution →KIRCHHOFF'S VOLTAGE LAW (KVL) states that around any closed loopRead the answer and worked solution →Three resistors of $10\Omega$, $20\Omega$, $30\Omega$ are connected in SERIES. The total resistance isRead the answer and worked solution →Two resistors of $10\Omega$ each are connected in PARALLEL. The total resistance isRead the answer and worked solution →A $12\,\text{V}$ battery drives a current of $2\,\text{A}$ through a resistor. The POWER dissipated isRead the answer and worked solution →THEVENIN'S THEOREM states that any linear two-terminal network can be REPLACED byRead the answer and worked solution →NORTON'S THEOREM gives an equivalent network asRead the answer and worked solution →For MAXIMUM POWER TRANSFER from a source with internal resistance $R_S$ to a load $R_L$, we needRead the answer and worked solution →Two batteries of $10\,\text{V}$ and $5\,\text{V}$ are connected in series-aiding (same polarity). The combined voltage isRead the answer and worked solution →An ideal AMMETER has internal resistanceRead the answer and worked solution →SUPERPOSITION THEOREM applies toRead the answer and worked solution →A capacitor in a DC circuit, in STEADY STATE, acts asRead the answer and worked solution →An inductor in a DC circuit, in STEADY STATE, acts asRead the answer and worked solution →An AC voltage is described as $v(t) = V_m \sin(\omega t)$. $V_m$ isRead the answer and worked solution →For a sinusoidal AC voltage with peak $V_m$, the RMS value isRead the answer and worked solution →The angular frequency $\omega$ (rad/s) relates to the frequency $f$ (Hz) asRead the answer and worked solution →The IMPEDANCE of a pure capacitor at angular frequency $\omega$ isRead the answer and worked solution →The IMPEDANCE of a pure inductor at angular frequency $\omega$ isRead the answer and worked solution →In a series RLC circuit, RESONANCE occurs at the frequency whereRead the answer and worked solution →The resonant frequency of an LC circuit with $L = 100\,\text{mH}$ and $C = 1\,\mu\text{F}$ is closest toRead the answer and worked solution →POWER FACTOR is defined asRead the answer and worked solution →A purely RESISTIVE AC load has voltage and current that areRead the answer and worked solution →In an AC circuit with a pure INDUCTOR, the currentRead the answer and worked solution →In an AC circuit with a pure CAPACITOR, the currentRead the answer and worked solution →An RMS AC voltage of $230\,\text{V}$ drives a $100\Omega$ RESISTIVE load. The real power dissipated isRead the answer and worked solution →The IMPEDANCE of a series RL circuit at angular frequency $\omega$ isRead the answer and worked solution →The QUALITY FACTOR Q of a series RLC resonant circuit measuresRead the answer and worked solution →Stack equal resistors into one valueRead the answer and worked solution →Drop each trait into Thevenin or NortonRead the answer and worked solution →

Worked practice questions

OHM'S LAW states the relationship between voltage $V$, current $I$, and resistance $R$ as

  1. $V = I + R$
  2. $V = I/R$
  3. $V = I \cdot R$
  4. $V = I - R$
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Correct answer: C. $V = I \cdot R$

1. Ohm's Law: voltage across a resistor equals current times resistance. 2. $V = IR$ — units: $V$ in volts, $I$ in amperes, $R$ in ohms. 3. Rearrangements: $I = V/R$, $R = V/I$. 4. Applies to LINEAR resistors at constant temperature. Real resistors deviate at high power (heating) or high frequency. 5. Other options have wrong dimensional relationships. _Source: Tony Kuphaldt, "Lessons in Electric Circuits — DC", Vol I, Ch 2 (Ohm's Law)._

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KIRCHHOFF'S CURRENT LAW (KCL) states that at any node

  1. the sum of voltages equals zero
  2. sum of currents in = sum of currents out
  3. the resistance is constant
  4. the power equals $V \cdot I$
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Correct answer: B. sum of currents in = sum of currents out

1. KCL is the CONSERVATION OF CHARGE applied to a circuit node. 2. At any node: $\sum I_{\text{in}} = \sum I_{\text{out}}$, or equivalently $\sum I = 0$ with sign convention. 3. Charge cannot accumulate at a node, so what flows in must flow out. 4. Option A is KVL (around a loop). Options C, D are not laws. _Source: Tony Kuphaldt, "Lessons in Electric Circuits — DC", Vol I, Ch 5 (KCL)._

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KIRCHHOFF'S VOLTAGE LAW (KVL) states that around any closed loop

  1. the sum of currents is zero
  2. the resistance is constant
  3. the power is conserved
  4. the algebraic sum of voltages is zero
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Correct answer: D. the algebraic sum of voltages is zero

1. KVL is the CONSERVATION OF ENERGY around a closed loop. 2. $\sum V = 0$ around any loop, with sign convention (drops vs rises). 3. Apply: sources are negative (rise), resistor drops are positive when traversed in the current direction. 4. Together with KCL, KVL is the foundation of all DC circuit analysis. 5. Option A is KCL. Options B, C are not Kirchhoff's laws. _Source: Tony Kuphaldt, "Lessons in Electric Circuits — DC", Vol I, Ch 5 (KVL)._

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