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Understanding Power Transmission and Reception of Electromagnetic Waves in Communication

This material covers the transmission and reception of waves, focusing on electromagnetic fields and power flow in communication systems. It provides an example involving the AM radio station KFCC, transmitting 50 kW of power in a hemispherical pattern. Key calculations are presented, including power density and electric field magnitude at a distance of 30 km from the transmitter. The example further explores the received voltage at a monopole antenna defined in specific conditions, illustrating the practical application of electromagnetic theory in real-world scenarios.

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Understanding Power Transmission and Reception of Electromagnetic Waves in Communication

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  1. ECE 1100: Introduction toElectrical and Computer Engineering Spring 2008 David R. Jackson Professor, ECE Dept. Notes 13 Transmission and Reception of Waves

  2. Power In Electromagnetic Wave x Ex [V/m] z power flow Hy [A/m] y “intrinsic impedance of free space”

  3. x Ex z power flow Hy y Power In Electromagnetic Wave (cont.)

  4. Example The AM radio station KFCC (1270 KHz) transmits 50 [kW] of power equally in all directions above the earth (hemisphere pattern). • a) What is the power density 30 [km] away? • What is the magnitude of the electric field 30 [km] away? • Describe mathematically the electric field that an observer would see at this distance. 30 [km] observer

  5. Example (cont.) 30 [km] observer

  6. Example (cont.) Also, So or

  7. Example (cont.) x From previous calculation: Hence we have 30 [km]

  8. Ex Hy Receive Voltage Receive antenna wire is in x direction z = zR z h + v(t) - earth

  9. Ex Hy Receive Voltage (cont.) h For a monopole antenna: + v(t) - earth z = zR

  10. Example Assume that the incident electric field for the AM radio station KFCC has a magnitude of Calculate the received voltage if the vertical antenna wire is 3 meters high. so

  11. Example (cont.) (from previous calculation of  and k) So we have: This is the received voltage at the terminals of the monopole antenna.

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