Find the reading of the ammeter when the voltmeter across the 3 ohm re

1.	Find the reading of the ammeter when the voltmeter across the 3 ohm resistor in the circuit of Fig. reads 45 V.
Answer» Obviously I₁ = 45/3 = 15A. If we take it as reference quantity, I₁ = 3 ∠0º Now, Z₁ = 3 −j3 = 4.24 ∠− 45º. Hence, V = I₁Z₁ = 15 ∠0º × 4.24 ∠−45º = 63.6 ∠−45º I₂= V/Z₂ = (63.6 ∠ -45º)/(5 + j2) = (63.6 ∠-45º)/(5.4 ∠ 21.8º) = 11.77 ∠ − 66.8º = 4.64 − j10.8 I = I₁ + I₂ = 19.64 −j10.8 = 22.4 ∠28.8º

Find the reading of the ammeter when the voltmeter across the 3 ohm resistor in the circuit of Fig. reads 45 V.

Answer»

Obviously I₁ = 45/3 = 15A. If we take it as reference quantity, I₁ = 3 ∠0º

Now, Z₁ = 3 −j3 = 4.24 ∠− 45º.

Hence, V = I₁Z₁ = 15 ∠0º × 4.24 ∠−45º = 63.6 ∠−45º

I₂= V/Z₂ = (63.6 ∠ -45º)/(5 + j2) = (63.6 ∠-45º)/(5.4 ∠ 21.8º)

= 11.77 ∠ − 66.8º = 4.64 − j10.8

I = I₁ + I₂ = 19.64 −j10.8 = 22.4 ∠28.8º

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Find the reading of the ammeter when the voltmeter across the 3 ohm resistor in the circuit of Fig. reads 45 V.

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