GATE EE 2015 Question Paper (07-Feb-2015) (Shift 2)

A composite conductor consists of three conductors of radius R each. The conductors are arranged as shown below. The geometric mean radius (GMR) (in cm) of the composite conductor is kR. The value of k is_______.

A 3 – Phase transformer rated for 33 kV/ 11kV is connected in delta/star as shown in figure. The current transformers (CTs) on low land high voltage sides have a ratio of 500/5. Find the current $i_1$ and $i_2$, of the fault current is 300 A as shown in figure

A balanced (positive sequence) three-phase AC voltage source is connected to a balanced, start connected through a star-delta transformer as shown in the figure. The line-to-line voltage rating is 230 V on the star side, and 115 V on the delta side. If the magnetizing current is neglected and ${\bar{I}}_s=100\angle 0^{\circ }A,$ then what is the value of ${\bar{I}}_p$ in Ampere?

In the given network V₁ = 100 ∠0°V, V₂ = 100 ∠-120°V, V3 = 100 ∠+120°V. The phasor current i (in Ampere) is

A symmetrical square wave of 50% duty cycle has an amplitude of ±15V and a time period of $0.4\pi ms$. This square wave is applied across a series RLC circuit with $R=5\Omega ,L=10mH$ and $C=4\mu F$. The amplitude of the 5000 rad/s component of the capacitor voltage (in Volt) is _________.