Lecture 4: Electrical Circuits •Electric circuits: resistors, capacitors, inductors, and OP-Amp •Basic laws governing electric circuits Ohm’s Law Kirchhoff’s current law (KCL, node law): The sum of currents entering a node () is equal to the sum of currents leaving the same node () . = Kirchhoff’s voltage law (KVL, loop law): The sum of voltage around any closed loop in an electrical circuit is zero. 1
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Lecture 4: Electrical Circuits• Electric circuits: resistors, capacitors, inductors, and OP-
Amp
• Basic laws governing electric circuits� Ohm’s Law
� Kirchhoff’s current law (KCL, node law): The sum of currents entering a node () is equal to the sum of currents leaving the same node () .
=
� Kirchhoff’s voltage law (KVL, loop law): The sum of voltage around any closed loop in an electrical circuit is zero.
1
Electrical Circuits• Find Voltage and current across
2
Electric Circuit
Electrical Circuits• LRC circuit:
� Find mathematical equations� Find transfer function:
4
LRC circuit
• (• (
Electrical Circuits• Applying Kirchhoff’s voltage law
Taking the Laplace transform,
Transfer function
5
LRC circuit
Loop 1
Loop 2
Loop 1 Loop 2
• (• (
Electrical Circuits• Write the dynamic equations and find the transfer