hw10.8 - rms I Z I rms rms R R Z I rms rms rms rms cos cos...

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HW 10.8 Given: F i n d : 40 R ? Z H 5 . 2 m L ? rms I V 11 rms ? C L X X Hz f . 3400 ? C 39 A coil of wire with resistance R = 40 and inductance L = 2.5 mH is connected in series with an unknown capacitance C and a variable frequency AC generator with E rms = 11 V. With the generator set at f = 3400 Hz, the current leads the generator voltage by 39°. (a) Calculate the impedance of the circuit. (b) Calculate the rms current. (c) Calculate the reactance of the circuit at this frequency. Include proper algebraic sign with your answer. (d) Calculate the capacitance. Solutions a.) To find Z we can use the following formula: cos R Z
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b.) To find we can use the following formula:
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Unformatted text preview: rms I Z I rms rms R R Z I rms rms rms rms cos cos R I rms rms cos c.) To find L X we can use the following formula: C X R X X C L tan tan R X X C L d.) To find C we can use the following formula: fL L X L 2 fC C X C 2 1 1 tan 2 1 2 R fC fL tan 2 2 1 R fL fC C R fL f tan 2 2 1 tan 2 2 1 tan 2 2 1 R fL f R fL f C tan 2 2 1 R fL f C...
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hw10.8 - rms I Z I rms rms R R Z I rms rms rms rms cos cos...

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