Antennas written test Questions & Answers on “Aperture Antenna – Beamwidths”.
1. Half-power Beamwidth is given by ____
a) 70λ/D
b) 70D/λ
c) 35λ/D
d) 35D/λ
Answer: a
Clarification: The area the power is radiated is given by Beamwidth. Half power Beamwidth is the area at which the power is radiated 50% of peak power. The half-power beamwidth is given by70λ/D.
2. If the antenna dimension is two times the wavelength of the signal then the half power beam width will be _____
a) 35
b) 140
c) 70
d) 280
Answer: a
Clarification: The half-power beamwidth is given by70λ/D.
⇨ (frac{70lambda}{D}=frac{70}{2}=35.)
3. For a circular aperture the FNBW is ______
a) 140λ/D
b) 70λ/D
c) 140D/λ
d) 70D/λ
Answer: a
Clarification: The area the power is radiated is given by Beam-width. The beam-width between the first nulls is the FNBW. For circular aperture the FNBW is given by 140λ/D. The half-power beam width is given by 70λ/D.
4. If the antenna dimension is two times the wavelength of the signal then the First null beam width will be _____
a) 35
b) 140
c) 70
d) 280
Answer: c
Clarification: The first null beam-width is given by 140λ/D.
⇨ (frac{140lambda}{D} = frac{140}{2}=70.)
5. For a rectangular aperture of a*b the first null in E-plane occur at _______
a) sin-1(λ/b)
b) sec-1(λ/b)
c) cos-1(λ/a)
d) sin-1(λ/a)
Answer: a
Clarification: The area the power is radiated is given by Beam-width. The beam-width between the first nulls is the FNBW. (frac{kb}{2}) sinθ=nπ
⇨ θ= sin-1(nλ/b)
⇨ For first null n=1 θ= sin-1(λ/b).
6. The first null beam width in the E-plane of a rectangular aperture of a×b is given by _______________
a) 2sin-1(λ/b)
b) sin-1(λ/a)
c) 2sec-1(λ/b)
d) 2cos-1(λ/a)
Answer: a
Clarification: The area the power is radiated is given by Beam-width. The beam-width between the first nulls is the FNBW. (frac{kb}{2}) sinθ=nπ
θ= sin-1((frac{nlambda}{b}))
Therefore, the FNBW in E-plane is given by FNBW=2 θ = sin-1((frac{lambda}{b})).
7. Larger the size of the aperture, the narrower is the Beam-widths.
a) True
b) False
Answer: a
Clarification: The FNBW in E-plane is given by FNBW=2 θ = sin-1((frac{nlambda}{b})). As the dimension of the antenna aperture increases, the FNBW will decrease. Thereby, beam-width becomes narrower.
8. Half-power Beam width in E-plane for a rectangular aperture antenna of a×b is given by ____
a) 0.886λ/b
b) 0.443λ/b
c) 0.5λ/b
d) λ/b
Answer: a
Clarification: By equating the field in E-plane to half power point
(frac{sin(0.5kbsintheta)}{0.5kbsintheta} = frac{1}{sqrt 2} => theta = arcsin(frac{0.443
lambda}{b}))
Now HPBW = 2 arcsin((frac{0.443lambda}{b}))≈0.886λ/b.
9. Find the HPBW of the uniform rectangular aperture antenna with 4λ×2λ in the E-plane?
a) 0.443
b) 0.886
c) 0.25
d) 0.5
Answer: a
Clarification: HPBW = 2 arcsin((frac{0.443lambda}{b}))≈0.886λ/b=0.886/2=0.443.
10. The value at which the second null occurs in H-plane of rectangular aperture of a*b is given by ____
a) sin-1(2λ/a)
b) sin-1(λ/a)
c) sin-1(a/2λ)
d) sin-1(a/λ)
Answer: a
Clarification: The area the power is radiated is given by Beam-width. The beam-width between the first nulls is the FNBW. For H-plane (frac{ka}{2}) sinθ=nπ
⇨ θ= sin-1(nλ/a)
⇨ For null n=2 θ= sin-1(2λ/a).
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