RLC Circuit

The given graph shows variation with time in the source voltage and steady state current drawn by a series RLC circuit. Given curve through origin is the current variation. Which of the following statements "is"//"are" correct ?

Assertion (A) : when capacitive reactance is less than the inductive reactance in a series LCR circuit, e.m.f. leads the current. Reason (R) : The angle by which alternating voltage leads the alternating current in series RLC circuit is given by tan varphi = (X_(L) - X_(C))/(R) .

(a)If the current in a sinusoidally driven series RLC circuit leads the emf , would we increase or decrease the capacitance to increase the rate at which energy is supplied to the resistance ? (b) Would this change bring the resonant angular frequency of the circuit closer to the angular frequency of the emf or put it father away ?

A series RLC circuit is connected to an AC supply 220 V, 50 Hz. The value of R is 10 Omega . The value of capacitive reactance of capacitor and incuctive reactance of inductor are 15 Omega and 20 Omega respectively . Calculate the value of current in the circuit.

A series RLC circuit is in resonance with a source of frequency omega_(0) = 10 MHz. The current amplitude in the circuit is I_(0) . It was found that when a different source of frequency omega=omega_(0)+Deltaomega[Deltaomega=10KHz] was used the current amplitude in the circuit was only 1% of I_(0) . Find the inductance in the circuit if it is known that resistance in the circuit is R = 0.314 Omega .

An RLC circuit includes a 1.6 H inductor and a 250 muF capacitor rated at 400 V. The circuit is connected across a sine - wave generator whose peak voltage is 32 V. What minimum resistace must the circuit have to ensure that the capacitor voltage does not exceed its rated value when the generator is at the resonant frequency? Fill 10 R in OMR sheet.