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

A – 3 phase balanced load which has a power factor of 0.707 is connected to balanced supply. The power consumed by the load is 5 kW. The power is measured by the two-wattmeter method. The readings of the two watt meters are.

A capacitive voltage divider is used to measure the bus voltage Vbus in a high-voltage 50 Hz AC system as shown in the figure. The measurement capacitors C₁ and C₂ Have tolerances of ±10% on their normal capacitance values. If the bus voltage V${}_{bus}$ is 100 kV RMS, the maximum RMS output voltage Vₒᵤₜ (in kV), considering the capacitor tolerance, is __________

In the following circuit, the input voltage $V_{in}$ is $100sin\left(100\pi t\right)$. For $100\pi RC=50$, the average voltages across $R$ (in volts) under steady-state is nearest to

Two semi-infinite dielectric regions are separated by a plane boundary at y = 0. The dielectric constant of region 1 (y < 0) and region 2 (y > 0) are 2 and 5, Region 1 has a uniform electric field E = 3âx + 4ây + 2âz, where âₓ, â${}_y$, and â${}_z$ are unit vectors along the x, y, and z axes, respectively. The electric field region 2 is

A circular turn of radius 1 m revolves at 60 rpm about its diameter aligned with the x-axis as shown in the figure. The value of μ₀ is 4π × 10⁻⁷ is SI unit. If a uniform magnetic field intensity $\vec{H}=10^7\hat{z}\frac{A}{m}$ is applied, then the peak value of the inducted voltage, V${}_{tum}$ (in volts), is ________.