Exam3_2002Fall

Exam3_2002Fall - Physics 8.02 TEST 3 MASHUP November 26,...

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Physics 8.02 TEST 3 MASHUP November 26, 2002 PLEASE DETACH THIS SHEET AND USE AT YOUR CONVENIENCE Some (possibly useful) Relations: F = 1 4 πε o q 1 q 2 r 2 E = q 4 o r 2 ˆ r observer to source from points r ˆ = surface closed o inside Q ε dA E outside to inside from points dA = = b a a b b to a from moving V V V ds E j i q q U ij j i o j i = ∑∑ , 4 2 1 r r C Q V U = 1 2 C V 2 = Q 2 2C d A o plate parallel κ = C τ = RC V = i R L L R A A ρ σ == P joule = i V = i 2 R = V /R 2 2 ˆ 4 o q r µ π × = vr B 2 ˆ 4 o I r × = ds r dB F = q v × B ext ext I = × dF ds B ττ = µµ × B NIA = through o I = ds B = dA B ds E dt d ε = N d φ B dt L = N B i ε = L di dt = 0 dA B = L / R U L = 1 2 L i 2 u B = | B | 2 2 0 T = 2 π ω = 1 f if ε (t) = ε m sin( ω t ), then i (t) = i m sin( ω t - φ ), where i m = ε m R 2 + ω L – 1 ω C 2 1/2 and tan φ = ω L – 1 ω C R
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8.02T Fall 2002 Test 3 Mashup 1 Problem 1: Five Conceptual Questions Question 1.1: An uncharged capacitor is connected to a dc voltage source via a switch. A resistor is placed in series with the capacitor. The switch is initially open. At t = 0 , the switch is closed. A very long time after the switch is closed, the current in the circuit is 1. nearly zero 2. at a maximum and decreasing 3. nearly constant but non-zero Question 1.2: A solenoid has turns, length , and radius with N d b bd << . The solenoid is connected via a switch, 1 , to an ideal voltage source with electromotive force S ε . The circuit has total resistance . Assume all the self-inductance in the circuit is due to the solenoid. At time the switch is closed. The back-emf due to the solenoid is equal to R 0 t = 1 S 1.
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This test prep was uploaded on 04/07/2008 for the course 8 8.02 taught by Professor Hudson during the Fall '07 term at MIT.

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Exam3_2002Fall - Physics 8.02 TEST 3 MASHUP November 26,...

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