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A copper microstrip transmission line is to be designed for a 100 Ω characteristic impedance. The substrate is 0.51 mm thick, 𝜀𝑟 = 2.2 and tan δ = 0.001.


At 5 GHz, find:


3.1.1. The guide wavelength on the line (in cm) and;


3.1.2. The total attenuation in dB/cm.

A car starting from rest passes two successive milestones A and B that are 250 m apart. It takes 60 s to pass A and another 60 s to pass from A to B. Find the velocities of the car when it passes milestone A and milestone B. Assume that the acceleration of the car is uniform 


A 150-V battery is connected across two parallel metal plates of area 28.5 cm² and separation 8.20 mmm. A beam of alpha particles (charge +2ê , mass 6.64 x 10-²⁷ kg) is accelerated from rest through a potential difference of 1.75 kV and enters the region between the plates perpendicular to the electric field. What magnitude and direction of magnetic field are needed so that the alpha particles emerge undeflected from between the plates?

A singly charged ion 7 Li (an isotope of lithium) has a mass of 1.16 x 10 –²⁶ kg. It is accelerated through a potential difference of 220 V and then enters a magnetic field with magnitude 0.723 T perpendicular to the path of the ion. What is the radius of the ion's path in the magnetic field?

850v is applied to a 720pF capacitor how much energy is stored


A parallel plate capacitor having a plate area of 0.70 m2 and a plate separation of 1.0 mm is connected to a source with a


voltage of 50 V. Find the capacitance, the charge on the plates, and the energy of the capacitor when there is air


between the plates.

Dry hydrogen is trapped by a pellet of mercury in a uniform capillary tube closed at one end. If the length of the

column of hydrogen at 270oC is 1.0m, at what temperature will the length be 1.20m?


1. Two charges are on the x-axis. Charge q1 = +35 nC is at x = 3.00 cm while charge q2 = -65nC is at x = 6.00 cm. Find the



magnitude and direction of



a) the electric force that q1 exerts on q2; and



b) the electric force the q2 exerts on q1.



2. A positive charge of 10-8 coulombs (C) experiences a force of 0.95 N when located at a certain point in an electric field.



Find the intensity (magnitude) of the electric field at that point.

Two charges Q1=+3.5 nC and Q2=-5.3 nC are separated by 10 cm. Calculate the electric potential at point B

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