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The ac bridge shown in the figure is used to measure the impedance Z. If the bridge is balanced for oscillator frequency f = 2 kHz, then the impedance Z will be

1. (260 + j0) a9
2. (0 + j200) a9
3. (260 - j200) a9
4. (260 + j200) a9

Correct answer: (260 + j200) a9

Solution

In an AC bridge, balance conditions relate the product of opposite arms. Using the given balance at 2 kHz, the unknown impedance resolves to a positive resistance and positive reactance. Hence Z = (260 + j200) a9.

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