PYQs Based test 2: Electric Circuits

RA and RB are the input resistances of circuits as shown below. The circuits extend infinitely in the direction shown. Which one of the following statements is TRUE?

In the circuit shown below, the supply voltage is 10 sin (1000 t) volts. The peak value of the steady-state current through the 1Ω resistor, in amperes, is ______.

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 _____________.

A three-phase load is connected to a three-phase balanced supply as shown in the figure. If Vₐₙ= 100∠ 0° V, V${}_{bn}$ = 100∠ - 120° V and V${}_{cn}$ =100∠-240° V (angles are considered positive in the anti-clockwise direction), the value of R for zero current in the neutral wire is ___________Ω (up to 2 decimal places).

A three-phase balanced voltage is applied to the load shown. The phase sequence is RYB. The ratio $\frac{|I_B|}{|I_R|}$ is ______.