A 79 O resistor is connected in series with a 26 µF capacitor and a generator ha

Question

A 79 O resistor is connected in series with a 26 µF capacitor and a generator having a maximum voltage of 1.25 102 V and operating at 60.0 Hz. Find the following.
(a) capacitive reactance of the circuit



Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. O

(b) impedance of the circuit
O

(c) maximum current in the circuit
A

(d) Does the voltage lead or lag the current? (Enter the phase angle of the circuit. Use a negative number if the voltage lags behind the current.)
°

How will putting an inductor in series with the existing capacitor and resistor affect the current? (Select all that apply.)
the frequency will change
the voltage will change
the current will change
nothing will change
the resistance will change
the impedance will change

Explanation / Answer

Given data Resistance, R = 79 Capcitance, C = 26 F                        = (26 F) (10-6 F / 1F)                        = 26 *10-6 F Voltage, Vmax = 1.25 *102 V                       = 125 V Frequency , f = 60 Hz Solution: (a) Capacitive reatance is,                       XC = 1/2 f C                             = 1/2 (60 Hz) (26 *10-6 F)                             = 102 ----------------------------------------------------------- (b) Impedamce of the circuit is,                       Z = R2 + ( XC  )2                          = (79 )2 + (102 )2                          = 129 ------------------------------------------------------------ (c) Maximu current in the circuit is,                      Imax = Vmax / Z                             = 125 V / 129                             = 0.96 A ------------------------------------------------------------- (d) Phase angle, = tan-1 (- XC / R)                             = - tan -1 (102 / 79 )                             = - 52.24o Voltage lags behind the current. ------------------------------------------------------------- On putting an inductor in series with the existing capcitor and resistor, then there will be change in the frequency, Current, and impedance Voltage lags behind the current. ------------------------------------------------------------- On putting an inductor in series with the existing capcitor and resistor, then there will be change in the frequency, Current, and impedance

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