hw10.5 - C X L X L C X C 1 b.) To find Z we can use the...

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HW 10.5 Given: F i n d : 31 R ? L X mH L 51 ? C X F C 10 ? Z V 99 max ? s rad / 3200 ? max I ? 0 The RLC series circuit shown in the diagram has the following parameters: R = 31 , L = 51 mH, C = 10 μF. The sinusoidal generator has an EMF E max = 99 V and its angular frequency is = 3200 rad/s. (a) Calculate the inductive and capacitative reactances at this frequency. (b) Calculate the impedance of the circuit. (c) Calculate the phase angle between the voltage across the generator and the current through it. A positive value means voltage leads current; a negative value means voltage lags current. (d) Calculate the peak current in the circuit. (e) At what value of the angular frequency is the current in the circuit a maximum, holding the generator voltage fixed? Solutions a.) To find L X we can use the following formula:
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Unformatted text preview: C X L X L C X C 1 b.) To find Z we can use the following formula: 2 2 2 2 1 C L R X X R Z C L 2 2 1 C L R Z c.) To find we can use the following formula: R C L R X X C L 1 tan R C L 1 tan 1 d.) To find we can use the following formula: max I Z I max max 2 2 max max max 1 C L R Z I 2 2 max max 1 C L R I e.) To find we can use the following formula LC 1...
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hw10.5 - C X L X L C X C 1 b.) To find Z we can use the...

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