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The question is:

The voltage source in the above circuit is a sinusoidal AC source with constant amplitude and constant phase shift but an adjustable frequency.

Calculate the frequency ω at which the phasor current I will have zero phase shift relative to the

voltage source. In other words, the equivalent impedance across the voltage source behaves like a

pure resistance with zero reactance at the required frequency.

(HINT: Given two complex numbers such that A + jB = C + jD, then A = C and B = D by inspection,

i.e. the real portion must equal the real portion and the imaginary portion must equal the

imaginary portion.)

Attempt:

Since it stated that the reactance is zero, that means Z = R. So Req = (1/100+1/100)^-1 = 50. I converted the v(t) into V (phasors) which become 100. Then I = V/R, so I get 100/50 = 2. I don't know what to do next. Am I even doing it correctly?