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test6_10Soln - LAST NAME STUDENT NR PHYS 1010 6.0 CLASS...

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LAST NAME: STUDENT NR: PHYS 1010 6.0: CLASS TEST 6 Time: 50 minutes; Calculators & formulae provided at the end = only aid; Total = 20 points. 1) A current loop with a resistance R = 250 and an area A = 0 . 4 m 2 is oriented perpendicular to a magnetic field that varies in time according to B ( t ) = 0 . 5 t (1 t ) ( t and B are in SI units). What is the current induced in the loop at t = 0 s, at t = 0 . 5 s, and at t = 1 s? 1
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2) A circular loop of wire lies in the x y plane so that the axis of the loop lies along z . A homogeneous (spatially uniform) magnetic field B ( t ) is anti-parallel to the z-axis. ( B z ( t ) < 0, B x = B y = 0). If B ( t ) is decreasing with time, what is the direction of the induced current when viewed from above? Start with a drawing, and explain your steps and reasoning! 3) Two inductors L 1 and L 2 are connected in series to form an equivalent inductor L eq . Together they are connected to a battery of voltage V B via a switch. Draw a circuit diagram depicting the situation. Formulate Kirchho ff ’s loop law for the circuit. Derive how L eq depends on L 1 and L 2 . 2
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... 4a) Consider a simple LC circuit (L and C in parallel) with values C = 1500 pF and L = 20 mH. At t = 0 the current is I = 45 mA and the charge on C is zero. Calculate the
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