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Circuit 1 - eecs6002.mit.edu

Dec 22, 2021

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Page 1: Circuit 1 - eecs6002.mit.edu
Page 2: Circuit 1 - eecs6002.mit.edu

Circuit 1:

Page 3: Circuit 1 - eecs6002.mit.edu

Circuit 1 (repeated):

Page 4: Circuit 1 - eecs6002.mit.edu

Circuit 2:

Page 5: Circuit 1 - eecs6002.mit.edu

Circuit 2 (repeated):

Page 6: Circuit 1 - eecs6002.mit.edu

How hand Ccapacitors Inductors

values over constra

iii

LIhas stabilizedi d i

it

not stabilized ÉET Etfafter theevent

III then

Nc O OVEE energyi i

as t to

Capacitor looks like an "open" with vC(0-) across it. No current flowing through it

special case of above, 0 current inductor looks like open:special case of above,

0V cap looks like short:

Circuit still evolving...need to solve for iL(0-) directly!

Inductor looks like a "short" with iL(0-) through it. No voltage is across it!

At t=0+ and ONLY at t=0+, inductor will "appear" as a current source with a current of whatever iL(0-) was (the current right before event)...voltage across the inductor is free to be whatever is needed (just like with a current source!!)

a t=0+ and ONLY at t=0+, capacitor will "appear" as a voltage source with a voltage of whatever vC(0-) was (voltage right before event)....current through capacitor is free to be whatever is needed (just like a voltage source!)

Circuit still evolving...need to solve for vC(0-) directly!