JAMB Physics 1995 Question 48

Question 48

Alternating Current Circuits

An alternating source is connected in series to a capacitor of capacitive reactance of 103√3 Ω and a resistor of resistance 103 Ω. The impedance of the circuit is

  1. A.2000√3 Ω
  2. B.2000 Ω
  3. C.1000√3 Ω
  4. D.1000 Ω
Show the answer and explanation

Answer: B (2000 Ω)

Explanation

Z = √(R2 + X2) = √(106 + 3 × 106) = √(4 × 106) = 2000 Ω.