5. (a) In a LRC series circuit, suppose R = 300 0, L = 60mH, C=0.50pF, V=50V, and = 10,000 rad/s. Find the reactances XL and XC, the impedance Z, the current amplitude /, the phase angle f, and the voltage amplitude across each circuit element. (b) At what co we should get the maximum current (resonance) (c) Show how you can convert the above circuit to a high pass filter (prove Vout/Vin → 1 as c increases and Vout/Vin → 0 as a decreases) (d) Show how you can convert the above circuit to a low pass filter (prove Vout/Vin → 0 as co increases and Vout/Vin → 1 as o decreases)
5. (a) In a LRC series circuit, suppose R = 300 0, L = 60mH, C=0.50pF, V=50V, and = 10,000 rad/s. Find the reactances XL and XC, the impedance Z, the current amplitude /, the phase angle f, and the voltage amplitude across each circuit element. (b) At what co we should get the maximum current (resonance) (c) Show how you can convert the above circuit to a high pass filter (prove Vout/Vin → 1 as c increases and Vout/Vin → 0 as a decreases) (d) Show how you can convert the above circuit to a low pass filter (prove Vout/Vin → 0 as co increases and Vout/Vin → 1 as o decreases)
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Transcribed Image Text:5. (a) In a LRC series circuit, suppose R = 300 0, L = 60mH, C = 0.50pF, V=50V, and = 10,000
rad/s. Find the reactances XL and XC, the impedance Z, the current amplitude I/, the phase angle
f, and the voltage amplitude across each circuit element.
(b) At what co we should get the maximum current (resonance)
(c) Show how you can convert the above circuit to a high pass filter (prove Vout/Vin → 1 as c
increases and Vout/Vin → 0 as a decreases)
(d) Show how you can convert the above circuit to a low pass filter (prove Vout/Vin → 0 as co
increases and Vout/Vin → 1 as o decreases)
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