# HW12 - UC Berkeley EECS Department B E Boser EECS 40 HW12...

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Unformatted text preview: UC Berkeley, EECS Department B. E. Boser EECS 40 HW12: Sample Midterm 2 (optional) 1. Switch S 1 is closed for a long time (until v x and i x are no longer changing) and opens at time t = 0. Calculate i x and v x before the switch opens ( t =- ), just after the switch opens ( t = + ), and after a very long time ( t → ∞ ). Use V 1 = 6 V, L 1 = 1 μ H, R 1 = 2 k Ω , and R 2 = 1 k Ω . i x ( t =- ) = i x ( t = + ) = i x ( t → ∞ ) = v x ( t =- ) = v x ( t = + ) = v x ( t → ∞ ) = Draw the shapes of i x and v x in on the graph paper below. Mark known values of current and voltages in the plot. Time InductorCurrent i x Time Voltage v x 2. Switch S 1 is closed for a long time (until v x and i x are no longer changing) and opens at time t = 0. Calculate 1 i x and v x before the switch opens ( t =- ), just after the switch opens ( t = + ), and after a very long time ( t → ∞ ). Use I 1 = 6 mA, C 1 = 8 μ F, R 1 = 4 k Ω , and R 2 = 9 k Ω . i x ( t =- ) = i x ( t = + ) = i x ( t → ∞ ) = v x ( t =- ) = v x ( t = + ) = v x ( t → ∞ ) = Draw the shapes of i x and v x in on the graph paper below. Mark known values of current and voltages in the plot. Time CapacitorCurrent i x Time Voltage v x 3. Switch S 1 is closed for a long time (until v x and i x are no longer changing) and opens at time t = 0. Calculate i x and v x before the switch opens ( t =- ), just after the switch opens ( t = + ), and after a very long time ( t → ∞ ). Use V 1 = 9 V, L 1 = 3 μ H, R 1 = 4 k Ω , and R 2 = 3 k Ω . 2 i x ( t =- ) = i x ( t = + ) = i x ( t → ∞ ) = v x ( t =- ) = v x ( t = + ) = v x ( t → ∞ ) = 4. Switch S 1 is closed for a long time (until v x and i x are no longer changing) and opens at time t = 0. Calculate i x and v x before the switch opens ( t =- ), just after the switch opens ( t = + ), and after a very long time ( t → ∞ ). Use I 1 = 8 mA, C 1 = 2 μ F, R 1 = 1 k Ω , and R 2 = 8 k Ω . i x ( t =- ) = i x ( t = + ) = i x ( t → ∞ ) = v x ( t =- ) = v x ( t = + ) = v x ( t → ∞ ) = 5. Capacitor C 1 in the circuit below is discharged at t = 0. Use V 1 = 1.3 V, R 1 = 6.7 k Ω and C 1 = 6.6 nF. Calculate a) the energy stored on the capacitor at time t = 0. b) the energy stored on the capacitor at time t → ∞ . c) the total energy delivered by the source V 1 for t = 0 . . . ∞ . 6. In the circuit below, all switches are initially open and the capacitors discharged. At time t = 0, switches S 1 and S 2 are closed. At time t 1 > S 1 and S 2 are opened and switch S 3 is closed. Use V 1 = 4.4 V, V 2 = 8.5 V, C 1 = 3.9 pF, C 2 = 9.8 pF and C 3 = 3.8 pF and assume that all capacitors are discharged before closing switches S 1 and S 2 . Calculate a) The total charge delivered by the sources to C 1 , C 2 , and C 3 at t = 0....
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## This note was uploaded on 01/15/2011 for the course EE 40 taught by Professor Chang-hasnain during the Fall '07 term at Berkeley.

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HW12 - UC Berkeley EECS Department B E Boser EECS 40 HW12...

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