Ontological Layer: The Dynamics of Energy
Power & Energy
Rate, Accumulation, and Thermal Reality
The Cost of Operation
Circuits do not merely process mathematical constraints; they consume and transform physical resources. This territory distinguishes the rate of energy transfer (Power) from the accumulation of work (Energy). It dictates whether a device will function efficiently, store fields, or melt under thermal stress.
ENERGY →
RATE OF TRANSFER →
POWER (W) →
DISSIPATED →
DELIVERED →
STORED (C/L) →
THERMAL LIMITS →
EFFICIENCY (η)
The 8 Dynamic Nodes
Vertical Ontology: From Formula to Thermal Limit
NODE 01
Power & Energy Concepts
- Electrical Energy vs Electric Power
- Power as Rate of Transfer (dW/dt)
- Instantaneous vs Average Power
- DC vs AC Power Distinctions
Power Equations
P
=
V
×
I
- Power-Voltage-Current (P=VI)
- Power-Resistance (P=I²R, P=V²/R)
- Energy-Power Integral (W=∫Pdt)
- Calculations in Simple Circuits
Passive Sign Convention
- Power Dissipation vs Absorption
- Power Delivery (Sources)
- Current Direction into Polarity
- +P (Absorbing) vs -P (Delivering)
Joule Heating
- I²R Losses in Conductors
- Thermal Conversion of Energy
- Thermal Effects of Power
- Device Heating Mechanisms
Energy Storage
- Capacitor Storage (W = ½CV²)
- Inductor Storage (W = ½LI²)
- Electric vs Magnetic Fields
- Non-dissipative Reactive Power
Power Balance
- Source Power vs Load Power
- Conservation of Energy (ΣP = 0)
- Verifying Circuit Analysis
- Total Delivered = Total Absorbed
Efficiency & Consumption
- System Efficiency (η = Pout/Pin)
- Energy Consumption Metrics
- Units: Joules, Watts, kWh
- Real-World Energy Accounting
Limits & Device Power
- Power Rating Specifications
- Device Power Limits (Pmax)
- Safe Operating Area (SOA)
- Power in Series/Parallel/Devices
SIMULATION RUNNING