# T01 - TUTORIAL 1 1. Investigate the assertion made in...

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TUTORIAL 1 1. Investigate the assertion made in Lecture 1 that the magnitude of the electric force exceeds that of the gravitational force by 10 36 by calculating the ratio of the forces between: (a) two electrons; (b) two protons. Consider two people each carrying an equal electrical charge. Calculate the charge required for their repulsive electrical force to balance their attractive gravitational force if they each have a mass of 100 kg. If each person is at a potential of 100 V, to what capacitance does this correspond? 2. (SADIKU, p. 46, practice exercise 2.4) If A = 3 a r + 2 a θ – 6 a φ and B = 4 a r + 3 a φ , determine (a) A ! B ; (b) B A ! ; (c) the vector component of A along z a at (1, π /3, 5 π /4). 3. (SADIKU, p. 45, practice exercise 2.3) Given the vector field H = ρ z cos φ a ρ + e –z sin φ 2 a φ + ρ 2 a z , at point (1, π /3, 0), find: (a) the vector component of H normal to the surface ρ = 1; (b) the scalar component of H tangential to the plane z = 0. 4. A box of dimensions 0.1 m ! 0.1 m ! 0.4 m made from porous material is placed in a flowing stream of fluid travelling at 10 ms -1 . What is the flux of the velocity field from the box? Consider now a closed volume of the same dimensions in an electric field. Sketch arbitrary field lines corresponding to: (a) zero flux; (b) non-zero flux.

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5. Consider the closed path shown below in a fluid travelling at uniform velocity of 5 ms -1 . Evaluate the circulation. 0.2 m 0.4 m Now consider the closed circular path of diameter 0.2 m about a point charge of 0.3 C. Evaluate the circulation of the electric field. From your answers, can you make any general observations? 6. Two point charges Q 1 and Q 2 are located at the points (0,0,0) and (0,0, d ). If Q 1 025 = . C , Q 2 10 = . C and d = 030 . m , find the point at which the total electric field is zero.
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## This note was uploaded on 04/17/2008 for the course ELEC 3305 taught by Professor - during the Spring '07 term at W. Alabama.

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T01 - TUTORIAL 1 1. Investigate the assertion made in...

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