Elements of Electromagnetics 7th. Edition by Matthew N. O. Sadiku | 9780190698614 | 0190698616 | Holooly

Electromagnetics

Elements of Electromagnetics [EXP-19785]

147 SOLVED PROBLEMS

Question: 6.5

(a) Determine the potential function for the region inside the rectangular trough of infinite length whose cross section is shown in Figure 6.7. (b) For Vo = 100 V and b = 2a, find the potential at x = a/2, y = 3a/4.

Verified Answer:

(a) The potential V in this case depends on x and ...

Question: 11.9

A 75 Ω transmission line of length 60 m is terminated by a 100 Ω load. If a rectangular pulse of width 5 μs and magnitude 4 V is sent out by the generator connected to the line, sketch I(0, t) and I(ℓ, t) for 0 < t < 15 μs. Take Zg = 25 Ω and u = 0.1c.f

Verified Answer:

In the previous example, the switching on of a bat...

Question: 11.10

A certain microstrip line has fused quartz (εr = 3.8) as a substrate. If the ratio of line width to substrate thickness is w/h = 4.5, determine (a) The effective relative permittivity of the substrate (b) The characteristic impedance of the line (c) The wavelength of the line at 10 GHz

Verified Answer:

(a) For

w/h=4.5

, we have a wide str...

Question: 11.3

A certain transmission line 2 m long operating at ω = 10^6 rad/s has α = 8 dB/m, β = 1 rad/m, and Zo = 60 + j40 Ω. If the line is connected to a source of 10∠0° V, Zg = 40 Ω and terminated by a load of 20 + j50 Ω, determine (a) The input impedance (b) The sending-end current (c) The current

Verified Answer:

(a) Since

1 Np=8.686 dB

\alp...

Question: 4.15

A charge distribution with spherical symmetry has density ρv = [(ρo, 0≤ r ≤ R), (0, r >R), Determine V everywhere and the energy stored in region r < R.

Verified Answer:

The D field has already been found in Section 4.6D...

Question: 4.9

A charge distribution with spherical symmetry has density ρv = {(ρor/R, 0 ≤ r ≤ R), (0, r > R) Determine E everywhere.

Verified Answer:

The charge distribution is similar to that in Figu...

Question: 8.3

A charged particle moves with a uniform velocity 4ax m/s in a region where E = 20 ay V/m and B = Boaz Wb/m^2. Determine Bo such that the velocity of the particle remains constant.

Verified Answer:

If the particle moves with a constant velocity, it...

Question: 8.1

A charged particle of mass 2 kg and charge 3 C starts at point (1, -2, 0) with velocity 4ax + 3az m/s in an electric field 12ax + 10ay V/m. At time t = 1 s, determine, (a) The acceleration of the particle, (b) Its velocity, (c) Its kinetic energy, (d) Its position

Verified Answer:

(a) This is an initial-value problem because initi...

Question: 8.2

A charged particle of mass 2kg and 1C starts at the origin with velocity 3ay m/s and travels in a region of uniform magnetic field B = 10az Wb/m^2. At t = 4s, do the following. (a) Calculate the velocity and acceleration of the particle. (b) Calculate the magnetic force on it. (c) Determine its

Verified Answer:

(a)

F=m\frac{du}{dt}=Qu\times B

[la...

Question: 7.3

A circular loop located on x^2 + y^2 = 9, z = 0 carries a direct current of 10 A along aφ. Determine H at (0, 0, 4) and (0, 0, -4)

Verified Answer:

Consider the circular loop shown in Figure 7.8(a)....

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