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Assessment Problem #9.4

Assessment Problem #9.4. The voltage across the terminals of the 5uF capacitor is 30cos(4,000t+25 °). Calculate The capacitive reactance; The impedance of the capacitor; The phasor current I; The steady-state expression for i(t). . a) X C = -1/ ω C = -1/(4,000)(5X10 -6 ) = -50 Ω ;

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Assessment Problem #9.4

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  1. Assessment Problem #9.4 • The voltage across the terminals of the 5uF capacitor is 30cos(4,000t+25°). Calculate • The capacitive reactance; • The impedance of the capacitor; • The phasor current I; • The steady-state expression for i(t). ECE 201 Circuit Theory I

  2. a) XC = -1/ωC = -1/(4,000)(5X10-6) = -50Ω; b) ZC = -j50Ω; c) I = jωCV = j(4,000)(5X10-6)(30/25°) = 0.6/(90°+25°) = 0.6/115° A. d) i(t) = 0.6cos(4,000t + 115°) A. ECE 201 Circuit Theory I

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