# Surface Waves on Grounded Di-electric Sheet MCQ’s

This set of RF & Microwave Circuit Design Multiple Choice Questions & Answers (MCQs) focuses on “Surface Waves on Grounded Di-electric Sheet”.

1. Because of the presence of the dielectric, the phase velocity of a surface wave is:

a) Greater than that in vacuum

b) Lesser than that in vacuum

c) Independent of the presence of dielectric

d) Insufficient data

2. For wave propagation on grounded dielectric sheet, the equation to be satisfied by Ez , in the region of presence of dielectric 0≤x≤d for the propagation to be in Z direction

a) (∂^{2}/∂x^{2} + ∈_{r}k_{0}^{2}– β^{2}) e^{Z(x,y)}=0

b) (∂^{2}/∂x^{2} + k_{0}^{2}– β^{2}) e^{Z(x,y)}=0

c) (∂^{2}/∂x^{2} – k_{0}^{2}+β^{2}) e^{Z(x,y)}=0

d) (∂^{2}/∂x^{2} + ∈_{r}k_{0}^{2}) e^{Z(x,y)}=0

3. Surface waves are typical by a field that decays ______away from the dielectric surface, with most of the field contained in or near the dielectric.

a) Linearly

b) Exponentially

c) Cubical

d) Field remains a constant

4. The cut off wavenumber for the region of dielectric in a grounded dielectric sheet is:

a) kC^{2}= ∈_{r}k_{0}^{2}-β^{2}

b) kC^{2}= ∈_{r}k_{0}^{2}+β^{2}

c) h^{2}= -k_{0}^{2}+β^{2}

d) kC^{2}= k^{2} + β^{2}

5. The cutoff frequency in TM1 mode for the propagation of EM waves on dielectric slab of relative permittivity 2.6 and thickness 20 mm is:

a) 6.5 GHz

b) 5.92 GHz

c) 4 GHz

d) 2 GHz

6. Cutoff frequency f_{C} for TEM mode of propagation is:

a) Fc= (2n-1)c/4d√εr -1

b) Fc= (2n-c)/2d(√εr-1)

c) Fc= (2n-1)/4d(√εr)

d) Fc= (2n-1)/8d√εr – 1

7. For surface waves on a dielectric sheet the cutoff frequency of the TM mode can be given as:

a) f_{C} = nC/2d√(ϵr-1)

b) f_{C} = C/2nd√(ϵr-1)

c) f_{C} = C/2nd√ϵr

d) f_{C} = 2C/nd√ϵr

8. In TE of propagation, HZ must obey the below equation for wave propagation in the region of presence of dielectric:

a) (∂^{2}/∂x^{2} + kc^{2}) hZ(x,y)=0

b) (∂^{2}/∂x^{2}– h^{2})hZ(x,y)=0

c) (∂^{2}/∂x^{2} – Kc^{2})hZ(x,y)=0

d) (∂^{2}/∂x^{2} +h^{2})hZ(x,y)=0

9. What is the cutoff frequency of TE₁ mode of propagation if the relative permittivity of the slab is 3.2 and the thickness of the slab is 45 mm?

a) 2.24 GHz

b) 4 GHz

c) 1.12 GHz

d) 8 GHz

10. The first propagating mode on a grounded dielectric is:

a) TMO mode

b) TM1 mode

c) TM2 mode

d) TM3 mode