Part a of the drawing shows a resistor and a charged capacitor wired in series.
ID: 2145144 • Letter: P
Question
Part a of the drawing shows a resistor and a charged capacitor wired in series. When the switch is closed, the capacitor discharges as charge moves from one plate to the other. Part b shows the amount q of charge remaining on each plate of the capacitor as a function of time. In part c of the drawing, the switch has been removed and an ac generator has been inserted into the circuit. The circuit elements in the drawing have the following values: R=16.0 ?, Vrms = 24.0 V for the generator, and f = 380 Hz for the generator. The time constant for the circuit in part a is ? = 3 x10-4 s. What is the rms current in the circuit in part c?
Part a of the drawing shows a resistor and a charged capacitor wired in series. When the switch is closed, the capacitor discharges as charge moves from one plate to the other. Part b shows the amount q of charge remaining on each plate of the capacitor as a function of time. In part c of the drawing, the switch has been removed and an ac generator has been inserted into the circuit. The circuit elements in the drawing have the following values: R=16.0 ?, Vrms = 24.0 V for the generator, and f = 380 Hz for the generator. The time constant for the circuit in part a is ? = 3 x10-4 s. What is the rms current in the circuit in part c?Explanation / Answer
? = 3.0 10-4 s
3.0 10-4=RC
C=3.0*10-4/16
=1.875*10^-5
X(c)=1/2?*380*1.875*10^-5
=22.3488657951?
R =16 ?
X(RC)=?16 ^2+22.3488657951^2
=27.4858473096?
I(rms)=24/27.4858473096
= 0.87317664722A