Discussion
Expressed in polar form, the balance of an alternating bridge requires that the magnitudes multiply equally and that
Answer: C
With each impedance written as a magnitude at an angle, the two products give \( |Z_1||Z_4| = |Z_2||Z_3| \) together with \( \theta_1 + \theta_4 = \theta_2 + \theta_3 \). The second condition explains why a purely resistive arm cannot balance a purely reactive one.
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