Derive an expression for the electric field inside a rectangular cavity ( a ´ b ´ l ) made of a rectangular waveguide with I.D ( a ´ b ) in TE101 mode.
(b) Explain with neat sketches including field distributions the mode TE101 in a rectangular cavity made of a rectangular waveguide carrying dominant mode and closed at two ends by shorting plates.
(c) Discuss how you can determine the ‘Q’ factor of the cavity.
Derive an expression for the electric field inside a rectangular cavity ( a ´ b ´...
Gauss' Law Electric Field Inside a Cavity A sphere of radius 2m is made of a non-conducting material that has a uniform volume charge density p = 2.655 x 10-10C/m. A spherical cavity of radius 1m is then carved out from the sphere. As measured from the center of the large sphere, the center of the spherical cavity is at the position in cos300i+sin 30°i. Find the electric field at a point P within the cavity. As measured from the...
Power capacity of a rectangular waveguide. (a) Consider a WR-284 rectangular air waveguide with inner dimensions 7.214 cm x 3.404 cm to operate in the dominant mode at 2.45 GHz. Assuming the breakdown electric field of air to be 15 kV-(cm)-1 (with a safety factor of 2 at sea level), calculate the maximum time-average power that can be carried by this waveguide. (b) Another waveguide (WR-430 air-filled, with inner dimensions 10.922 cm x 5.461 cm) is proposed to increase the...
Problem 5. A standing wave is established in a microwave cavity as shown in Fig. 3. The cavity consists of an air-filled rectangular metal box with side lengths a, b, and d, where d> a > b CO-ORDINAT IGIN Figure 3: A microwave cavity The electric field in the standing wave is given by Part A (a) Show that the electric feld satisies the wave equation Evided が, provided (b) Does the electric field satisfy the boundary conditions that apply...
retric field of radiation inside a hollow rectangular waveguide whose geometry is sketched below, has the following form: E., - , xeyal sind 5). ---, E, -E --O; where y-(0)* -o uso so and the other symbols have the where y = > 0 and the other symbols have their usual meaning N ds a) Derive expressions for the three Cartesian components of the magnetic field of radiation inside the guide. b) Calculate the average power flowing across any plane...
help A,B and C..thanks
Electric Field from Charge Distributions 1. A thin ring of radius a is uniformly charged with total charge Q. A. Find an expression for an electric field at a point, x, along the axis perpendicular to the ring. B. Verify that the limit x >>a gives the expected result. C. Sketch a graph of E vs x. Where is the electric field a maximum? dg dE IE
Consider a hollow metal sphere of inner radius r=16.5 cm and outer radius R-20.5 cm. The sphere is not charged, but there is a point charge of q-253 nC at the centre of the sphere (a) Calculate the charge density on the sphere's outer surface (b) Calculate the electric field strength at the sphere's outer surface. PAPER SOLUTION Solve the problem on paper first, including all four IDEA steps. You will become a better physicist that way! Have you finished...
5. A particle of mass M carries electric potential drop AV. Derive uniform B field. Express this result in terms of a formula for the radius of curvature of the path B ric charge q. Find the speed of the particle after it passes through a taken by the particle in the V, B, q, and M. Sketch the path of a particle with the same charge q and four times the mass
When we find the electric field due to a continuous charge distribution, we imagine slicing that source up into small pieces, finding the electric field produced by the pieces, and then integrating to find the electric field. Let's see what happens if we break a finite rod up into a small number of finite partides. The figure below shows a rod of length 2 carrying a uniform charge Q modeled as five particles of charge Q/5. Two particles are at...
Question 1 (compulsory): (i) State Gauss' law for the electric field (E-field) in words and explain its meaning. Write the corresponding mathematical expression and clearly define all symbols and operations used. Describe one application of Gauss' law. 15% (ii) A very long wire carrying electric charge with uniform line charge density is located in free space. Applying Gauss' law, derive the E-field due to this wire. Clearly explain every step of your derivation and the assumptions you take. 40% Find...
2. Briefly discuss the Biot Savart Law and give its mathematical expression. (5 Marks) a. b. An infinitely long straight conductor is present in a magnetic field B. The conductor carrying a current of I = 10 A, is placed in a sheath (M- 202 ). At what distance from the conductor will the magnetic field be 1T/m? Find the magnetic moment of a square loop of 500 turns in a field of uniform flux density 2.5mT. The loop carries...