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GATE EC 2020: Electromagnetic Theory Quiz 13 (App update required to attempt this test)

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Question 1

Two identical coaxial circular coils carry the same current ‘I’ but in the opposite directions. The magnitude of the magnetic field ‘B’ at a point on the axis midway between the coils is :

Question 2

Light from free space is incident at an angle 0, to the normal of the facet of a step-index large core optical fibre. The core and cladding refractive indices are n1 =1.5 and n2 = 1.4, respectively.

The maximum value of (in degrees) for which the incident light will be guided in the core of the fibre is ______

Question 3

The permittivity of water at optical frequencies is 1.75ε.It is found that an isotropic light source at a distance d under-water forms an illuminated circular area of radius 5m, as shown in the figure. The critical angle is θc.
2.34.JPG
The value of d (in meter) is _____

Question 4

The internal dimensions of a coaxial capacitor are a = 1cm, b = 3cm, c = 30cm. The capacitor contains a homogeneous material inside with = 10-10 F/m, µ = 10-6 H/m, σ = 10-4 mho/m. What will be the quality factor of the capacitor if
?

Question 5

An optical fiber with an attenuation of 0.4 dB/km is 5 Km long . The fiber has

and a diameter of 50 . Find the maximum angle at which rays will enter the fiber and be trapped and the percentage of input power received.

Question 6

A step-index fibre has a core diameter of 80, a core refractive index of 1.62, and a numerical aperture of 0.The number of modes that the fibre can propagate at a wavelength of 0.8 are __
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