GATE EE 2016 Question Paper (06-Feb-2016) (Shift 2)

Consider the following circuit which uses a 2–to–1 multiplexer as shown in the figure below. The Boolean expression for output F in terms of A and B is

A transistor circuit is given below. The Zener diode breakdown voltage is 5.3 V as shown. Take base to emitter voltage drop to be 0.6 V. The value of the current gain β is _________.

In cylindrical coordinate system, the potential produced by a uniform ring charge is given by $\varphi =f\left(r,z\right)$, where $f$ is a continuous function of $r$ and $z$. Let $\vec{E}$ be the resulting electric field. Then the magnitude of $\nabla \times \vec{\mathrm{E}}$

A soft-iron toroid is concentric with a long straight conductor carrying a direct current I. If the relative permeability μᵣ of soft-iron is 100, the ratio of the magnetic flux densities at two adjacent points located just inside and just outside the toroid, is _______.

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?