Peak and Rms Value of Alternating Current Or Voltage

Phase diffⁿ between voltage and current in a capacitor in A.C Circuit is.

The rms value of current in an ac circuit is 10 A. What is the peak current?

If `|vec"A" xx vec"B"| = sqrt3 vec"A" . vec"B"` then the value of  is `|vec"A" xx vec"B"|` is

A capacitor of capacitance 10 μF is connected to an oscillator with output voltage ε = (10 V) sin ωt. Find the peak currents in the circuit for ω = 10 s⁻¹, 100 s⁻¹, 500 s⁻¹ and 1000 s⁻¹.

When a voltage measuring device is connected to AC mains, the meter shows the steady input voltage of 220V. This means ______.

A coil of inductance 5.0 mH and negligible resistance is connected to the oscillator of the previous problem. Find the peak currents in the circuit for ω = 100 s⁻¹, 500 s⁻¹, 1000 s⁻¹.

In a series LCR circuit connected to an ac source of variable frequency and voltage ν = v_m sin ωt, draw a plot showing the variation of current (I) with angular frequency (ω) for two different values of resistance R₁ and R₂ (R₁ > R₂). Write the condition under which the phenomenon of resonance occurs. For which value of the resistance out of the two curves, a sharper resonance is produced? Define Q-factor of the circuit and give its significance.

Can a hot-wire ammeter be used to measure a direct current of constant value? Do we have to change the graduations?