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GATE EC : Electromagnetics Champion Quiz 3

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Question 1

For a 3- diameter optical fiber with core and cladding indexes of refraction of 1.545 and 1.510, respectively. The cut-off wavelength is

Question 2

For a single mode optical cable with 0.25 dB/km loss, the optical power 100 km from a 0.1 mW source will be

Question 3

In the differential amplifier of Fig. if the source resistance of the current source IEE is infinite, then the common-mode gain is

Question 4

Two infinitely long wires carrying current are as shown in the figure below. One wire is in the y-z plane and parallel to the y-axis. The other wire is in the x-y plane and parallel to the x-axis. Which components of the resulting magnetic field are non-zero at the origin?

Question 5

The block diagram of a system with one Input u and two output y1 and y2 is given below.

A state space model of the above system in terms of the state vector x and the output vector is

Question 6

A lossless transmission line is terminated in a load which reflects a part of the incident power. The measured VSWR is 2. the percentage of the power that is reflected back is

Question 7

If the time-averaged Poynting vector is

Question 8

An infinitely long uniform solid wire of radius a carries a uniform dc current of density.
A hole of radius b(b < a) is now drilled along the length of the wire at a distance d from the center of the wire as shown below.

The magnetic field inside the hole is

Question 9

A parallel plate air-filled capacitor has plate area of 10–4 m2 and plate separation of 10–3 m. It is connected to a 0.5 V, 3.6 GHz source. The magnitude of the displacement current is Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC-ME-17-Mar\GATE-ECE-2004_files\image320.png

Question 10

Consider a vector field . The closed loop line integral can be expressed as
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Feb 7ESE & GATE EC