In the circuit shown below, the supply voltage is $10\mathrm{sin}\left(1000t\right)$ volts. The peak value of the steady state current through the 1 Ω resistor, in amperes,

The circuit below is excited by a sinusoidal source. The value of R, in Ω, for which the admittance of the circuit becomes a pure conductance at all frequencies is _____________.

In the balanced 3-phase, 50 Hz, circuit shown below, the value of inductance (L) is 10 mH. The value of the capacitance (C) for which all the line currents are zero, in millifarads, is ___________.

A series RLC circuit is observed at two frequencies. At ω_{1}=1 krad/s, we note that source voltage ${V}_{1}=100\angle {0}^{o}V$ results in a current ${I}_{1}=0.03\angle {31}^{o}A$. At ${\omega}_{2}=2$ krad/s, the source voltage ${V}_{2}=100\angle {0}^{o}V$ results in a current ${I}_{1}=2\angle {31}^{o}A$. The closest values for R,L,C out of the following options are

The R-L-C series circuit shown in figure is supplied from a variable frequency voltage source. The admittance - locus of the R-L-C network at terminals AB for increasing frequency $\omega $ is