**ELE370 — Engineering Electromagnetics — Summer 2017**

**Exam 6**

**Problem [1] <10 points>**

An electromagnetic wave is propagating in a low loss medium in +z direction, The magnitude of the electric

field is measured as 10 V/m at z0rn, and it is measured as **1 **‘Vlm at Calculate the skin depth c5 in this

medium

**Problem [2] <10 points>**

Conductivity of copper is *a = *5.8 x10^{7}. A copper wire with square cross-section has length 50 meters and 1 MITI thickness, Calculate the DC resistance of this wire

**Problem ****[3] ****<10 points>**

Consider the copper wire in Problem 2. Calculate the AC resistance of this wire at 20 **Gilz.**

Problem [4J <10 points>

The electric field propagating in *R *direction in free space is given as ,,,,The magnetic field can

Problem [5] <10 points>

Consider the electromagnetic wave in Problem 4. ^{–}The Poynting vector can he given as ,75

Problem [6] <10 points>

The Poynting vector in free space is given as S =100____ *R. *Calculate total power passim?, through a spherical *R ^{2 }*co-centered at the origin of the coordinate system. The radius of the sphere is 5 meters

Problem [7] <10 points>

Figure shows a parallel plate transmission line with following parameters

*=3mtn,h =1.mm,c _{r}= *3,p,

*=1,a = 0a*.

*=*0, . Calculate the characteristic impedance of this transmission line

Problem [8] <10 points>

The wavelength on a transmission line is measured as lm at 100 MHz, The characteristic impedance is 500 Calculate the per unit length inductance

Problem [9] <10 points>

A 15 volts voltage source generates an incident voltage wave of 10 Volts on a transmission line. Calculate the source resistance

Problem [10] <10 points>

Consider the circuit in Problem 9. The accompanying incident current wave is 0.1 Amps. Calculate the reflected current wave from a 50 Ohms load

## 1 Answer