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Electronic measurements and instrumentation miscellaneous

Electronic Measurements And Instrumentation

  1. At the balance condition of the AC bridge shown in the figure, the value of Z4, would be:


    1. 120∠70°Ω
    2. 187·5∠–10°Ω
    3. 187·5∠–70°Ω
    4. 333·3∠–70°Ω
Correct Option: C

Given, Z1 = 200 ∠ 30°Ω
Z2 = 250 ∠ – 40°Ω
Z3 = 150 ∠ 0°Ω
Z4 =?
under the balance condition

Z1
=
Z3
Z2Z4

or
Z4 =
Z2Z3
Z1

=
250 ∠ 40° × 150 ∠ 0°
200 ∠ 30°

=
[250 cos 40° – j250 sin 40°]. cos 150°
200 cos 30° + j200 sin 30°

= 187·5 ∠ – 70° Ω



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