Test13Solution

Test13Solution - Solution of ECE 300 Test 13 F09 1 With...

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Unformatted text preview: Solution of ECE 300 Test 13 F09 1. With reference to the two coupled inductors below, find the numerical magnitudes and angles of V 1 and V 2 . L 1 = 50 mH , L 2 = 30 mH , M = 25 mH I 1 = 3 ∠ 20 ° , I 2 = 2 ∠ 90 ° , ω = 400 V 1 = j ω L 1 I 1 + j ω MI 2 V 2 = − j ω L 2 I 2 − j ω MI 1 ⇒ V 1 = j 20 × 3 ∠ 20 ° + j 10 × 2 ∠ 90 ° V 2 = − j 12 × 2 ∠ 90 ° − j 10 × 3 ∠ 20 ° ⇒ V 1 = 60 ∠ 110 ° + 20 ∠ 180 ° V 2 = 24 ∠ ° + 30 ∠− 70 ° ⇒ V 1 = 69.43 ∠ 125.7 ° V V 2 = 44.37 ∠− 39.45 ° V 2. With reference to the ideal transformer circuit below, find the numerical magnitudes and angles of the currents I s and I C . V s = 120 ∠ ° , Z R = 400 Ω a = 3 , Z C = − j 2000 Ω I s = V s Z R + Z C / a 2 = 120 ∠ ° 400 − j 2000 / 9 = 0.262 ∠ 29.05 ° A ⇒ I C = I s / a = 0.0874 ∠ 29.05 ° A L 1 L 2 V 1 V 2 I 1 I 2 M V s R 1: a C I s I C Solution of ECE 300 Test 13 F09 1. With reference to the two coupled inductors below, find the numerical magnitudes and angles of...
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Test13Solution - Solution of ECE 300 Test 13 F09 1 With...

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