FE ELECTRICAL AND COMPUTER EXAM COMPLETE QUESTIONS
AND VERIFIED ANSWERS LATEST UPDATED 2026/2027
Q1. What is the Laplace transform of a unit step function u(t)?
ANSWER : 1/s
Q2. What is the inverse Laplace transform of 1/(s+a)?
ANSWER : e^(−at)
Q3. What is Euler's formula?
ANSWER : e^(jθ) = cos θ + j sin θ
Q4. What is the Fourier transform of a time-domain signal x(t)?
ANSWER : X(f) = ∫x(t)e^(−j2πft)dt
Q5. What does the convolution theorem state?
ANSWER : Convolution in time domain equals multiplication in frequency
domain.
Q6. What is the Z-transform of a unit impulse δ[n]?
ANSWER : 1
Q7. What is the determinant of a 2×2 matrix [[a,b],[c,d]]?
ANSWER : ad − bc
Q8. What is the dot product of vectors A and B?
ANSWER : A·B = |A||B|cos θ
Q9. What is the cross product magnitude of A × B?
ANSWER : |A||B|sin θ
Q10. State the final value theorem for Laplace transforms.
ANSWER : lim(t→∞) f(t) = lim(s→0) sF(s)
Q11. State the initial value theorem.
ANSWER : lim(t→0+) f(t) = lim(s→∞) sF(s)
Q12. What is a unit impulse function δ(t)?
Page 1
, ANSWER : A function that is 0 everywhere except at t=0, with integral of 1.
Q13. What is the Laplace transform of cos(ωt)?
ANSWER : s/(s² + ω²)
Q14. What is the Laplace transform of sin(ωt)?
ANSWER : ω/(s² + ω²)
Q15. What is the Taylor series expansion of e^x?
ANSWER : 1 + x + x²/2! + x³/3! + ...
Q16. What is the eigenvalue equation?
ANSWER : Av = λv, where A is a matrix, v is eigenvector, λ is eigenvalue.
Q17. Define a matrix rank.
ANSWER : The number of linearly independent rows (or columns) in the
matrix.
Q18. What is the Parseval's theorem?
ANSWER : The total energy of a signal in time domain equals total energy in
frequency domain.
Q19. What does the gradient vector ∇f represent?
ANSWER : The direction and magnitude of maximum rate of increase of f.
Q20. What is the divergence theorem?
ANSWER : ∮F·dA = ∫∇·F dV — relates surface flux to volume divergence.
Circuit Analysis
Q21. State Kirchhoff's Voltage Law (KVL).
ANSWER : The sum of all voltages around any closed loop is zero.
Q22. State Kirchhoff's Current Law (KCL).
ANSWER : The sum of currents entering a node equals the sum leaving.
Q23. What is Ohm's Law?
ANSWER : V = IR, where V is voltage, I is current, R is resistance.
Q24. What is the impedance of an inductor at frequency ω?
ANSWER : Z_L = jωL
Q25. What is the impedance of a capacitor at frequency ω?
ANSWER : Z_C = 1/(jωC)
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, Q26. What is Thevenin's theorem?
ANSWER : Any linear network can be replaced by a voltage source V_th in
series with R_th.
Q27. What is Norton's theorem?
ANSWER : Any linear network can be replaced by a current source I_N in
parallel with R_N.
Q28. How do you find the Thevenin resistance?
ANSWER : Remove all independent sources (voltage→short, current→open)
and find equivalent resistance.
Q29. What is superposition principle?
ANSWER : In a linear circuit, the response is the sum of responses due to
each independent source alone.
Q30. What is the time constant of an RC circuit?
ANSWER : τ = RC
Q31. What is the time constant of an RL circuit?
ANSWER : τ = L/R
Q32. Define resonance frequency for an LC circuit.
ANSWER : ω₀ = 1/√(LC)
Q33. What is quality factor Q of a series RLC circuit?
ANSWER : Q = ω₀L/R = 1/(Rω₀C)
Q34. What is average power in an AC circuit?
ANSWER : P = V_rms × I_rms × cos φ, where φ is the phase angle.
Q35. What is reactive power Q in an AC circuit?
ANSWER : Q = V_rms × I_rms × sin φ, measured in VAR.
Q36. What is apparent power S?
ANSWER : S = V_rms × I_rms, measured in VA.
Q37. What is the power factor?
ANSWER : PF = cos φ = P/S
Q38. What is the voltage divider rule?
ANSWER : V_R = V_in × R/(R₁+R₂)
Q39. What is the current divider rule?
ANSWER : I₁ = I_total × R₂/(R₁+R₂)
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AND VERIFIED ANSWERS LATEST UPDATED 2026/2027
Q1. What is the Laplace transform of a unit step function u(t)?
ANSWER : 1/s
Q2. What is the inverse Laplace transform of 1/(s+a)?
ANSWER : e^(−at)
Q3. What is Euler's formula?
ANSWER : e^(jθ) = cos θ + j sin θ
Q4. What is the Fourier transform of a time-domain signal x(t)?
ANSWER : X(f) = ∫x(t)e^(−j2πft)dt
Q5. What does the convolution theorem state?
ANSWER : Convolution in time domain equals multiplication in frequency
domain.
Q6. What is the Z-transform of a unit impulse δ[n]?
ANSWER : 1
Q7. What is the determinant of a 2×2 matrix [[a,b],[c,d]]?
ANSWER : ad − bc
Q8. What is the dot product of vectors A and B?
ANSWER : A·B = |A||B|cos θ
Q9. What is the cross product magnitude of A × B?
ANSWER : |A||B|sin θ
Q10. State the final value theorem for Laplace transforms.
ANSWER : lim(t→∞) f(t) = lim(s→0) sF(s)
Q11. State the initial value theorem.
ANSWER : lim(t→0+) f(t) = lim(s→∞) sF(s)
Q12. What is a unit impulse function δ(t)?
Page 1
, ANSWER : A function that is 0 everywhere except at t=0, with integral of 1.
Q13. What is the Laplace transform of cos(ωt)?
ANSWER : s/(s² + ω²)
Q14. What is the Laplace transform of sin(ωt)?
ANSWER : ω/(s² + ω²)
Q15. What is the Taylor series expansion of e^x?
ANSWER : 1 + x + x²/2! + x³/3! + ...
Q16. What is the eigenvalue equation?
ANSWER : Av = λv, where A is a matrix, v is eigenvector, λ is eigenvalue.
Q17. Define a matrix rank.
ANSWER : The number of linearly independent rows (or columns) in the
matrix.
Q18. What is the Parseval's theorem?
ANSWER : The total energy of a signal in time domain equals total energy in
frequency domain.
Q19. What does the gradient vector ∇f represent?
ANSWER : The direction and magnitude of maximum rate of increase of f.
Q20. What is the divergence theorem?
ANSWER : ∮F·dA = ∫∇·F dV — relates surface flux to volume divergence.
Circuit Analysis
Q21. State Kirchhoff's Voltage Law (KVL).
ANSWER : The sum of all voltages around any closed loop is zero.
Q22. State Kirchhoff's Current Law (KCL).
ANSWER : The sum of currents entering a node equals the sum leaving.
Q23. What is Ohm's Law?
ANSWER : V = IR, where V is voltage, I is current, R is resistance.
Q24. What is the impedance of an inductor at frequency ω?
ANSWER : Z_L = jωL
Q25. What is the impedance of a capacitor at frequency ω?
ANSWER : Z_C = 1/(jωC)
Page 2
, Q26. What is Thevenin's theorem?
ANSWER : Any linear network can be replaced by a voltage source V_th in
series with R_th.
Q27. What is Norton's theorem?
ANSWER : Any linear network can be replaced by a current source I_N in
parallel with R_N.
Q28. How do you find the Thevenin resistance?
ANSWER : Remove all independent sources (voltage→short, current→open)
and find equivalent resistance.
Q29. What is superposition principle?
ANSWER : In a linear circuit, the response is the sum of responses due to
each independent source alone.
Q30. What is the time constant of an RC circuit?
ANSWER : τ = RC
Q31. What is the time constant of an RL circuit?
ANSWER : τ = L/R
Q32. Define resonance frequency for an LC circuit.
ANSWER : ω₀ = 1/√(LC)
Q33. What is quality factor Q of a series RLC circuit?
ANSWER : Q = ω₀L/R = 1/(Rω₀C)
Q34. What is average power in an AC circuit?
ANSWER : P = V_rms × I_rms × cos φ, where φ is the phase angle.
Q35. What is reactive power Q in an AC circuit?
ANSWER : Q = V_rms × I_rms × sin φ, measured in VAR.
Q36. What is apparent power S?
ANSWER : S = V_rms × I_rms, measured in VA.
Q37. What is the power factor?
ANSWER : PF = cos φ = P/S
Q38. What is the voltage divider rule?
ANSWER : V_R = V_in × R/(R₁+R₂)
Q39. What is the current divider rule?
ANSWER : I₁ = I_total × R₂/(R₁+R₂)
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