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GATE EE Electrical Circuits & Fundamentals — practice questions

Explore 35 free Electrical Circuits & Fundamentals questions in GATE EE Electrical Engineering. Open each question or exercise to read its content, reference answers and available explanation.

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Electrical Circuits & Fundamentals questions and exercises with answers

Showing questions 1–30 of 35.

Ohm's law states:Read the answer and worked solution →Kirchhoff's Voltage Law (KVL):Read the answer and worked solution →For series resistors R1, R2, R3, equivalent resistance is:Read the answer and worked solution →Power dissipated in a resistor under DC:Read the answer and worked solution →Maximum power is transferred from source to load when:Read the answer and worked solution →For a sinusoidal voltage v(t) = V_m sin(ωt), the RMS value is:Read the answer and worked solution →Frequency of Indian AC supply:Read the answer and worked solution →Inductive reactance X_L = ?Read the answer and worked solution →Capacitive reactance X_C = ?Read the answer and worked solution →Impedance of series RLC circuit:Read the answer and worked solution →Series RLC resonance occurs when:Read the answer and worked solution →Quality factor Q of series RLC at resonance:Read the answer and worked solution →Power factor in AC circuit is:Read the answer and worked solution →In a balanced 3-phase 4-wire system (star/Y), line-to-line voltage relates to phase voltage as:Read the answer and worked solution →Nodal analysis is based on:Read the answer and worked solution →Energy stored in a capacitor:Read the answer and worked solution →Energy stored in an inductor:Read the answer and worked solution →Two capacitors C1 and C2 in series. Equivalent capacitance:Read the answer and worked solution →Two capacitors in parallel:Read the answer and worked solution →Magnetic flux Φ in a magnetic circuit:Read the answer and worked solution →Faraday's law of electromagnetic induction:Read the answer and worked solution →Reluctance of magnetic circuit (analogous to electrical resistance):Read the answer and worked solution →1 kWh (kilowatt-hour) equals:Read the answer and worked solution →Power factor of pure resistive load:Read the answer and worked solution →Diode allows current to flow:Read the answer and worked solution →For a half-wave rectifier with input V_m sin(ωt), DC output (avg) is:Read the answer and worked solution →Full-wave bridge rectifier with input V_m sin(ωt), DC output:Read the answer and worked solution →Force on a current-carrying conductor of length l in magnetic field B (perpendicular):Read the answer and worked solution →In a 3-phase transmission line, line voltage rms is 415 V. Phase voltage (Y/star) is:Read the answer and worked solution →Energy density in magnetic field B is:Read the answer and worked solution →

Worked practice questions

Ohm's law states:

  1. V = I/R
  2. V = I² R
  3. V = IR (voltage across a resistor = current × resistance)
  4. V = R/I
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Correct answer: C. V = IR (voltage across a resistor = current × resistance)

**Ohm's law:** V = IR. Linear relation for ohmic resistors. **SI units:** V in volts, I in amperes, R in ohms (Ω). **Power dissipated:** P = VI = I²R = V²/R.

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Kirchhoff's Voltage Law (KVL):

  1. Sum of currents = 0
  2. Energy never conserved
  3. Random
  4. Algebraic sum of voltage drops around any closed loop = 0
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Correct answer: D. Algebraic sum of voltage drops around any closed loop = 0

KVL: ΣV around any closed loop = 0. Based on energy conservation (no net energy created/destroyed in closing the loop). Used in mesh analysis.

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For series resistors R1, R2, R3, equivalent resistance is:

  1. Sum: R_eq = R1 + R2 + R3
  2. Just R1
  3. R1 + R2 only
  4. R1 × R2 × R3
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Correct answer: A. Sum: R_eq = R1 + R2 + R3

**Series:** same current through all; voltages add. R_eq = ΣR_i. **Voltage divider:** V_i = V_total × R_i/R_eq. Series sums resistance; parallel reduces it.

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