tsl355 - S is initially open. Find the current I through...

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Intermediate Exam III: Problem #1 (Spring ’06) Consider two infinitely long, straight wires with currents of equal magnitude I 1 = I 2 = 5 A in the directions shown. Find the direction (in/out) and the magnitude of the magnetic fields B 1 and B 2 at the points marked in the graph. 2m 2m 2m I a I b B 2 B 1 B 1 = μ 0 2 π 5A 4m - 5A 4m « = 0 (no direction). B 2 = μ 0 2 π 5A 2m - 5A 4m « = 0 . 25 μ T (out of plane). tsl355 – p.1/4
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Intermediate Exam III: Problem #2 (Spring ’06) A conducting loop in the shape of a square with area A = 4m 2 and resistance R = 5Ω is placed in the yz -plane as shown. A time-dependent magnetic field B = B x ˆ i is present. The dependence of B x on time is shown graphically. (a) Find the magnetic flux Φ B through the loop at time t = 0 . (b) Find magnitude and direction (cw/ccw) of the induced current I at time t = 2 s. 2 0 3 2 1 0 4 B [T] x t [s] x y A Choice of area vector: ¯ / positive direction = ccw/cw. (a) Φ B = ± (1T)(4m 2 ) = ± 4Tm 2 . (b) d Φ B dt = ± (0 . 5T / s)(4m 2 ) = ± 2V ⇒ E = - d Φ B dt = 2V . I = E R = 2V = 0 . 4A (cw). tsl356 – p.2/4
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Intermediate Exam III: Problem #3 (Spring ’06) In the circuit shown the switch
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Unformatted text preview: S is initially open. Find the current I through the battery (a) while the switch is open, (b) immediately after the switch has been closed, (c) a very long time later. 7H 6 2 3 12V S (a) I = 12V 2 + 3 + 6 = 1 . 09A . (b) I = 12V 2 + 3 + 6 = 1 . 09A . (c) I = 12V 2 + 3 = 2 . 4A . tsl357 p.3/4 Intermediate Exam III: Problem #4 (Spring 06) Consider the circuit shown. The ac voltage supplied is E = E max cos( t ) with E max = 170 V and = 377 rad/s. (a) What is the maximum value I max of the current? (b) What is the emf E at t = 0 . 02 s? (c) What is the current I at t = 0 . 02 s? ~ L = 30mH (a) I max = E max X L = E max L = 170V 11 . 3 = 15 . 0A . (b) E = E max cos(7 . 54rad) = (170V)(0 . 309) = 52 . 5V . (c) I = I max cos(7 . 54rad-/ 2) = (15 . 0A)(0 . 951) = 14 . 3A . tsl358 p.4/4...
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This note was uploaded on 04/30/2008 for the course PHYS 204 taught by Professor Andrevantonder during the Spring '07 term at Rhode Island.

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tsl355 - S is initially open. Find the current I through...

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