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ECET 2026 ECE

Day 5 ECET 2026 ECE – Antennas Introduction, Formulas & Basics

Concept Notes

1. What is an Antenna?

  • An antenna is a device that converts electrical signals (current/voltage) into electromagnetic waves (radiation) for transmission, and vice versa for reception.
  • In simple terms: Transmitter end → antenna radiates; Receiver end → antenna collects.

2. Basic Principle

  • Antenna works on reciprocity theorem:
    • If it can transmit effectively, it can also receive effectively.
  • Based on Maxwell’s equations, a time-varying current produces radiation.

3. Important Parameters of Antennas

  1. Radiation Pattern
    • Spatial distribution of power radiated.
    • Main lobe → strongest radiation direction.
  2. Radiation Intensity (U):

 U = \frac{P_{rad}}{4 \pi}

Gain (G):
 G = \eta \times D
where  \eta = efficiency,  D = directivity.

Directivity (D):

 D = \frac{U}{U_{avg}}

Efficiency (η):

 \eta = \frac{P_{rad}}{P_{in}}

Effective Aperture (Ae):

 A_e = \frac{\lambda^2 G}{4 \pi}

Bandwidth of Antenna: range of frequencies over which antenna works effectively.

Polarization: orientation of electric field vector (linear, circular, elliptical).

Input Impedance (Zin):
 Z_{in} = R_r + R_l + jX
where  R_r = radiation resistance,  R_l = loss resistance.


4. Types of Antennas

  • Wire antennas: Dipole, Monopole, Loop.
  • Aperture antennas: Horn antennas.
  • Array antennas: Yagi-Uda, Phased Array.
  • Reflector antennas: Parabolic dish.
  • Microstrip antennas: Patch antennas (used in mobiles, satellites).

5. Examples

Example 1:
A transmitting antenna has  G = 10 and operates at  \lambda = 0.1 m . Find effective aperture.

 A_e = \frac{\lambda^2 G}{4 \pi} = \frac{(0.1)^2 \times 10}{4 \pi} = 0.00796 , m^2

Example 2:
If antenna efficiency = 0.8 and directivity = 5, then gain =

 G = \eta \times D = 0.8 \times 5 = 4


⚙️ Key Formulas

Radiation Intensity:

 U = \frac{P_{rad}}{4 \pi}

Directivity:

 D = \frac{U}{U_{avg}}

Gain:

 G = \eta \times D

Effective Aperture:

 A_e = \frac{\lambda^2 G}{4 \pi}

Efficiency:

 \eta = \frac{P_{rad}}{P_{in}}

Input Impedance:

 Z_{in} = R_r + R_l + jX


🔟 10 MCQs

Q1. The function of an antenna is to:
a) Amplify signal
b) Convert AC to DC
c) Convert electrical signals to EM waves
d) Filter frequencies

Q2. The antenna property that defines directional concentration of radiation is:
a) Gain
b) Bandwidth
c) Polarization
d) Efficiency

Q3. Effective aperture formula is:
a)  A_e = \frac{G}{\lambda^2}
b)  A_e = \frac{\lambda^2 G}{4 \pi}
c)  A_e = \lambda G
d)  A_e = \pi G \lambda^2

Q4. Reciprocity theorem in antennas states:
a) Antenna can only transmit
b) Antenna can only receive
c) Transmission and reception characteristics are same
d) None

Q5. If  G = 8 ,  \lambda = 0.2 m , effective aperture is:
a)  0.025 m^2
b)  0.0127 m^2
c)  0.0079 m^2
d)  0.5 m^2

Q6. Antenna efficiency is defined as:
a)  \eta = P_{in} / P_{rad}
b)  \eta = P_{rad} / P_{in}
c)  \eta = G / D
d)  \eta = D / G

Q7. A dipole antenna is a type of:
a) Wire antenna
b) Aperture antenna
c) Reflector antenna
d) Patch antenna

Q8. Gain is product of:
a) Efficiency × Polarization
b) Efficiency × Directivity
c) Aperture × Bandwidth
d) None

Q9. Polarization refers to:
a) Orientation of electric field
b) Orientation of magnetic field
c) Orientation of radiation pattern
d) Antenna resistance

Q10. Bandwidth of antenna is defined as:
a) Range of frequencies over which antenna resonates
b) Range of frequencies over which antenna works effectively
c) Minimum frequency antenna works at
d) Maximum frequency antenna works at


✅ Answer Key

Q NoAnswer
Q1c
Q2a
Q3b
Q4c
Q5b
Q6b
Q7a
Q8b
Q9a
Q10b

🧠 Explanations

  • Q1: Antenna converts electrical energy ↔ EM waves.
  • Q2: Directionality = Gain.
  • Q3: Effective aperture =  A_e = \frac{\lambda^2 G}{4 \pi} .
  • Q4: Reciprocity → Tx and Rx properties are identical.
  • Q5:  A_e = \frac{(0.2)^2 \times 8}{4 \pi} = 0.0127 m^2 .
  • Q6: Efficiency =  P_{rad} / P_{in} .
  • Q7: Dipole = basic wire antenna.
  • Q8: Gain = Directivity × Efficiency.
  • Q9: Polarization = orientation of electric field vector.
  • Q10: Antenna bandwidth = range of frequencies where antenna performs satisfactorily.

🎯 Motivation

Antennas are the backbone of wireless communication – mobiles, satellites, radar, 5G all depend on antenna design.
👉 Mastering parameters (Gain, Directivity, Aperture) is crucial for ECET numericals.


📲 CTA

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