Question

In the circuit given below, the current source is 1∠0° A, R = 1 Ω, the impedances are ZC = -j Ω and ZL = 2j Ω. The Thevenin equivalent looking across A-B is __________

(a) \(\sqrt{2}\)∠0 V, (1+2j) Ω

(b) 2∠45° V, (1-2j) Ω

(c) 2∠45° V, (1+j) Ω

(d) \(\sqrt{2}\)∠45° V, (1+j) Ω

This question was addressed to me in unit test.

Asked question is from Problems Involving Standard Time Functions topic in division Application of the Laplace Transform in Circuit Analysis of Network Theory

Answer 1

Right choice is (d) \(\sqrt{2}\)∠45° V, (1+j) Ω

The explanation: ZTH = 1 + (2j-j) = (1 + j) Ω

∴ VTH = 1(1+j) = \(\sqrt{2}\)∠45° V.