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(a) Show from the definition of the electromagnetic field te...

(a) Show from the definition of the electromagnetic field tensor that Zikt = + = 0. (b) Show that ZikKis antisymmetric in all three indices. (c) Show that Zikt is non-zero only when all three indices are different. (d) What 4 equations for E and H components are obtained by setting i=0,1,2,3 in ...

2. (20 points) A heat engine having two kilomoles of an idea...

2. (20 points) A heat engine having two kilomoles of an ideal monatomic gas as the working substance undergoes a reversible cycle of operations made up of the four steps shown in the figure. Here (T1, V1) = (300 K, 2m³), (T2, V2) = (400K,2m3), (T3, V3) = (400 K, 10m3), (T4, V4) = (300 K, 10m...

1. -/5 pointsKatzPSE1 24.P.061. A total charge Q is distrib...

1. -/5 pointsKatzPSE1 24.P.061. A total charge Q is distributed uniformly on a metal ring of radius R. (Use any variable or symbol stated above along with the following as necessary: K. Assume Q is positive.) y A R R O X (a) What is the m agnitude of the electric field in the center of the ...

Deadnne. - a. b 1. Rectangular waveguide has dimensions 2...

Deadnne. - a. b 1. Rectangular waveguide has dimensions 2 cm by 1 cm. With the frequency of 20 GHz, what TE modes can propagate in this waveguide? 2. Work out the theory of TM modes for a rectangular waveguide. Find the cutoff frequencies and the phase and group velocities. A J 3. Find the...

An infinitely long cylindrical charged body with a radius of...

An infinitely long cylindrical charged body with a radius of 2 mm has a volume charge density of Pv = αp C/m³. The electric flux density at 10 mm is equal to 12 C/m². (a) Please find the electric flux density for 0 V P V 10 mm (b) The charge per unit legnth stored inside the cylind...

Exercise 8.1 - 10 marks In the circuit below, use the super...

Exercise 8.1 - 10 marks In the circuit below, use the superposition principle to determine (a) the magnitude of the current flowing in capacitor C (5 marks), (b) the voltage across R2 (3 marks), and (c) the total power dissipated in the circuit (2 marks). C R1 R4 V1 = 60 2 0° V V2 = 20 2...

1. An electron in a certain region of space experiences a fo...

1. An electron in a certain region of space experiences a force of 8.0x10-15. N due East from the electric field there. Find the magnitude and direction of the electric field. 2. What is the magnitude and direction of the electric force on an ion Mg placed at the same location as the previous pro...

1) Mass spectrometry. A uniform beam of ions passes throug...

1) Mass spectrometry. A uniform beam of ions passes through a region of length l that contains a uniform electric field E in the direction of the beam. The beam then enters a region with a uniform magnetic field B that is perpendicular to the velocity of ions. Assuming that the velocity of i...

3) Find the magnetic field on the axis of a circular loop of...

3) Find the magnetic field on the axis of a circular loop of wire as a function of the current ๐ผ in the wire and the distance from the center of the loop ๐ฆ. 4) A straight conductor of length ๐ = 2 m carries a current ๐ผ = 50 mA. The conductor experiences a force ๐น = 5 N from a unifo...

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