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The general balance condition of a four-arm alternating current bridge with arms \( Z_1 \), \( Z_2 \), \( Z_3 \) and \( Z_4 \) taken in order is

  • A.\( Z_1 / Z_2 = Z_3 / Z_4 \)
  • B.\( Z_1 Z_4 = Z_2 Z_3 \)
  • C.\( Z_1 Z_2 = Z_3 Z_4 \)
  • D.\( Z_1 + Z_4 = Z_2 + Z_3 \)

Answer: B

It is the same rule as for the Wheatstone bridge with impedances in place of resistances: the products of the opposite arms are equal. Written in polar form it separates at once into equal magnitude products and equal sums of phase angles.

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