"GATE EC 2022:EMFT Quiz 10"

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Question 1

A steel pipe is constructed of a material for which _r=200 and =5x10⁶ mho/m. The outer and inner radii are 8 and 6 mm respectively and the length is 80m. If the total current carried by the pipe is 2cos10⁴t A, Then the skin depth will be

• A0.225x10^-3m
• B0.300x10^-3m
• C0.352x10^-3m
• D0.125x10^-3m

Question 2

The half-power beam width (HPBW) of an antenna in the two orthogonal planes are 120° and 40° respectively. The directivity of the antenna is approximately equals to

• A10 dB
• B6.5 dB
• C12 dB
• D8.5 dB

Question 3

A parallel plate air-filled capacitor has plate area of and plate separation of It is connected to a 2 V, 1.8 GHz source. The magnitude of the displacement current is

• A200 mA
• B20 mA
• C20 A
• D2 mA

Question 4

The electric field component of a time harmonic plane EM wave traveling in a non-magnetic lossless dielectric medium has amplitude of 2V/m. If the relatives permittivity of the medium is 4, the magnitude of the time-average power density vector (W/m²) is

• A
• B
• C
• D

Question 5

A square waveguide carries TE₁₁ mode whose axial magnetic field is given by H_z = H₀ cos(x/) cos(y/) A/m, where waveguide dimensions are in cm. What is the cut-off frequency of the mode?

• A5.5 GHz
• B6.5 GHz
• C7.5 GHz
• D8.5 GHz

Question 6

A lossless T-junction two way power divider has a source impedance, input transmission line impendence and o/p port load impendence of 50. Find the output characterization impedances so that the input power is divided in a 2:1 ratio.

• Az₁= 150, z₂ = 75
• Bz₁ = 50, z₂= 100
• Cz₁= 60, z₂= 120
• Dz₁ = 30, z₂= 60

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