GATE EC 2019 Question Paper (09-Feb-2019) (Shift 1)

Two identical copper wires W1 and W2, placed in parallel as shown in the figure, carry currents I and 2I, respectively, in opposite directions. If the two wires are separated by a distance of 4r, then the magnitude of the magnetic field B between the wires at a distance r from W1 is

The dispersion equation of a waveguide, which relates the wavenumber k to the frequency ω, is $k\left(\omega \right)=\left(1/c\right)\sqrt{{\omega }^2-{\omega }_o^2}$ where the speed of light c = 3 × 10⁸ m/s, and ωₒ is a constant. If the group velocity is 2 × 10⁸ m/s, then the phase velocity is

In the circuit shown, the breakdown voltage and the maximum current of the Zener diode are 20 V and 60 mA, respectively. The values of R₁ and R${}_L$ are 200 Ω and 1 kΩ, respectively. What is the range of Vᵢ that will maintain the Zener diode in the ‘on’ state?

The state transition diagram for the circuit shown is

In the circuits shown, the threshold voltage of each nMOS transistor is 0.6 V. Ignoring the effect of channel length modulation and body bias, the values of Vₒᵤₜ₁ and Vₒᵤₜ₂, respectively, in volts, are