Two impedances Z₁ = 3 + j4 Ω and Z₂ = 3 - j4 Ω are connected in parallel. Determine their equivalent impedance.
Options

Question

Two impedances Z₁ = 3 + j4 Ω and Z₂ = 3 − j4 Ω are connected in parallel. Determine their equivalent impedance.

G1 Physics · Accepted Answer

Z(eq) = Z₁Z₂/(Z₁+Z₂). Here Z₁Z₂ = 3²+4² = 25 and Z₁+Z₂ = 6. Therefore Z(eq)=25/6 Ω, which is purely resistive.