EE140 MT2A Spring 2022 Dr Ray Kwok Name MT2A Spring 2022 Dr Ray Kwok 35 pts A loop of N turns of thin wire is placed in a magnetic field given by 3 2 2 sin 100 Tesla The wire loop is moving at a constant velocity 5 m s along the y axis Find the magnitude and direction of the induced current Total resistivity of the wire justify your answer Q10 summer 2020 Use Lenz s Law is 0 2 m to y 5 m s L w x EE140 1 2 100 2sin 100 2 2 0 2 2 0 0 5sin 100 2 2 2 0 5 2sin 100 2 2 0 5 2 2 100cos 100 sin 100 2 5 2 2 10cos 100 sin 100 yo 5t 5 2 2 10 10cos 100 sin 100 5 2 2 10 10 cos 100 sin 100 Amp Dominating term at small t is the dB dt term At t 0 B increases into the page flux increases induced B is out of the page From Lenz s Law induced current is clockwise for t 0 EE140 2 MT2A Spring 2022 Dr Ray Kwok o 35 pts A LARGE block of material with a relative dielectric constant 4 is found to be tilted at an angle of 37 from the x axis as shown in figure A layer of surface charge with density 2 o C m2 is found on the interface The electric field right inside of the block is 2 3 4 2 V m Find the electric field vector E1 in air Note cos 37o 4 5 sin 37o 3 5 y n 37o t 37o r 4 x 3 7 3 7 3 4 5 2 2 3 4 2 0 6 0 8 0 5 1 2 1 2 2 0 4 0 5 22 0 1 22 1 0 4 3 5 3 7 3 7 2 2 3 4 2 0 8 0 6 0 0 1 1 2 2 1 22 3 4 4 3 5 5 0 2 13 2 17 6 2 EE140 3 MT2A Spring 2022 Dr Ray Kwok 30 pts A LHCP electromagnetic wave is traveling in a non magnetic medium with a dielectric medium with 2 V m The wave vector is 300 400 Write the full r 9 Given at the origin when t 0 expression of the corresponding magnetic field Simplify your answer 5 1010 3 108 500 3 3 2 377 15 9 k 4 y H1 3 3 4 x z out E1 out H2 out 1 4 3 5 15 9 5 1010 300 400 2 15 9 5 1010 300 400 12 7 9 54 5 1010 300 400 15 9 5 1010 300 400
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