Instantaneous current in a reisistor, capacitor and inductor

[lisanoir]

Homework Statement

a resistor, a capacitor and an inductor are connected in parallel to a source of oscillating EMF of frequency 955hz and amplitude of 1.0x10^3 V. the resistance of the resistor is 200Ω. what is the maximal instantaneous current in the resistor? if we want to make a maximum instantaneous currents in the capacitor and in the inductor equal to that in the resistor, what values of the capacitance and the inductance must we select?

Homework Equations

Irms= ΔVrms/(R^2+(xl-xc)^2)^(1/2)
Irms= Imax/(2)^(1/2)= 0.707Imax
xl=wl
xc=1/wc
frequency= 955hz (2∏f)

The Attempt at a Solution

amplitude is given, therefore, we can consider this Vmax

Irms= 1.0x10^3V/ (200^2+(xl-xc)^2)^(1/2)

 

[gneill]

For instantaneous values you won't need to deal with rms values. You'll want the instantaneous peaks of the voltages and/or currents.

If the input voltage is 1000V*cos(ωt), what's the maximum voltage that can appear across the resistor?