AC Circuits (Chapt 33). circuits in which the currents vary in time differential equations. AC Voltage. The current in any AC circuit is driven by an AC source. This alternating current varies sinusoidally with time: Δ v = Δ V max sin ω t * Δ v is the instantaneous voltage
The current in any AC circuit is driven by an AC source.This alternating current varies sinusoidally with time:Δv = ΔVmax sin ωt* Δv is the instantaneous voltage
* ΔVmax is the maximum output voltage of the source* ω is the angular frequency of the AC voltage
ΔvR = ImaxR sin ωt
Show that the RMS values for a sinusoidal function are 0.707 of the max.
An AC power supply produces a maximum voltage ΔVmax = 100 V. This power supply is connected to a 24.0-Ω resistor, and the current and resistor voltage are measured with an ideal AC ammeter and voltmeter, as shown below. What does each meter read? Note that an ideal ammeter has zero resistance and that an ideal voltmeter has infinite resistance.
In the simple AC circuit shown, R = 70.0 Ω and Δv = ΔVmax sin ωt. a) If ΔvR= 0.250 ΔVmax for the first time at t = 0.010 0 s, what is the angular frequency of the source? b) What is the next value of t for which ΔvR= 0.250 ΔVmax?
Show that the rms value for the sawtooth voltage shown in the figure is ΔVmax /√3.