**1) An electric field strength of 10 µV/m is to be measured at an observation point θ = π/2, 500 km from a λ/4 monopole antenna operating in air at 50 MHz.**

**(a) What is the length of the dipole?****(b) Calculate the current that must be fed to the antenna.****(c) Find the average power radiated by the antenna.****(d) If a transmission line with Z**_{o}= 75 Ω is connected to the antenna, determine the standing wave ratio. --- For Solution CLICK HERE.

**2) Calculate the directivity of**

**The Hertzian Monopole.****The quarter-wave Monopole.****--- For Solution CLICK HERE.**

**3) A certain antenna with an efficiency of 95% has maximum radiation intensity of 0.5 W/sr. Calculate its directivity when**

(a) The input power is 0.4 W

(b) The radiated power is 0.3 W

(a) The input power is 0.4 W

(b) The radiated power is 0.3 W

**--- For Solution CLICK HERE.**

**4) Evaluate the directivity of an antenna with normalized radiation intensity**

**5) Determine the maximum effective area of a Hertzian dipole of length 10 cm operating at 10 MHz. If the antenna receives 3 µW of power, what is the power density of the incident wave?**

**--- For Solution CLICK HERE.**

**6) An antenna in air radiates a total power of 100 kW so that maximum radiated electric field strength of 12 mV/m is measured 20 km from the antenna.**

Find its:

(a) Directivity in dB

(b) Maximum power gain if η

Find its:

(a) Directivity in dB

(b) Maximum power gain if η

_{r}= 98%.

**--- For Solution CLICK HERE.**

**7) A C-band radar with an antenna 1.8 m in radius transmits 60 kW at a frequency of 6000 MHz. If the minimum detectable power is 0.26 mW, for a target cross section of 5 m**

^{2}, calculate the maximum range in nautical miles and the signal power density at half this range. Assume unity efficiency and that the effective area of the antenna is 70% of the actual area.

**--- For Solution CLICK HERE.**

**8) The magnetic vector potential at point P(r, θ, φ) due to a small antenna located at the origin is given by**

**where r**

^{2}= x^{2}+ y^{2}+ z^{2}. Find E(r, θ, φ, t) and H(r, θ, φ, t) at the far field.

**--- For Solution CLICK HERE.**

**9) A Hertzian dipole at the origin in free space has dl = 20 cm and I = 10 cos2π10**

^{7}t A, find |E_{θs}| at the distant point (100, 0, 0).

**--- For Solution CLICK HERE.**

10) A 2-A source operating at 300 MHz feeds a Hertzian dipole of length 5 mm situated at the origin. Find E

_{s}and H

_{s}at (10, 30°, 90°).

**--- For Solution CLICK HERE.**

**11) An antenna can be modeled as an electric dipole of length 5 m at 3 MHz. Find the radiation resistance of the antenna assuming a uniform current over its length.**

**--- For Solution CLICK HERE.**

12) A half-wave dipole fed by a 50 Ω transmission line, calculate the reflection coefficient and the standing wave ratio.

**--- For Solution CLICK HERE.**

**13) A 1-m-long car radio antenna operates in the AM frequency of 1.5 MHz. How much current is required to transmit 4 W of power?**

**--- For Solution CLICK HERE.**

**14) An antenna located on the surface of a flat earth transmits an average power of 200 kW. Assuming that all the power is radiated uniformly over the surface of a hemisphere with the antenna at the center, calculate**

(a) The time-average Poynting vector at 50 km, and

(b) The maximum electric field at that location.

(a) The time-average Poynting vector at 50 km, and

(b) The maximum electric field at that location.

**--- For Solution CLICK HERE.**

**15) A 100-turn loop antenna of radius 20 cm operating at 10 MHz in air is to give a 50 mV/m field strength at a distance 3 m from the loop. Determine**

(a) The current that must be fed to the antenna

(b) The average power radiated by the antenna

(a) The current that must be fed to the antenna

(b) The average power radiated by the antenna

**--- For Solution CLICK HERE.**

**16) Sketch the normalized E-field and H-field patterns for**

a. A half-wave dipole

b. A quarter-wave monopole.

a. A half-wave dipole

b. A quarter-wave monopole.

**--- For Solution CLICK HERE.**

**17) In free space, an antenna has a far zone field given by**

**Determine the radiated power?**

**--- For Solution CLICK HERE.**

**18) At the far field, the electric field produced by antenna is**

**--- For Solution CLICK HERE.**

Sketch the vertical pattern of the antenna. Your plot should include as many points as possible.

Sketch the vertical pattern of the antenna. Your plot should include as many points as possible.

**19) At the far field, an antenna produces**

Calculate the directive gain and the directivity of the antenna?

Calculate the directive gain and the directivity of the antenna?

**--- For Solution CLICK HERE.**

**20) For a thin dipole λ/16 long, find the**

**a) Directive gain**

b) Directivity

c) Effective area

d) Radiation resistance

b) Directivity

c) Effective area

d) Radiation resistance

**--- For Solution CLICK HERE.**