Maximum Power Transfer Calculator Formula
Understand the math behind the maximum power transfer calculator. Each variable explained with a worked example.
Formulas Used
Optimal Load Resistance
r_load_optimal = r_thMaximum Power to Load
p_max = pow(v_th, 2) / (4 * r_th)Efficiency at Max Transfer
efficiency = 50Variables
| Variable | Description | Default |
|---|---|---|
v_th | Thevenin Voltage(V) | 10 |
r_th | Thevenin Resistance(Ω) | 50 |
How It Works
Maximum Power Transfer Theorem
Max power is delivered when R_load = R_th.
Formulas
R_load = R_th
P_max = V_th^2 / (4 x R_th)
Efficiency is 50% at this point.
Worked Example
V_th = 10 V, R_th = 50 ohms.
v_th = 10r_th = 50
- 01R_load = R_th = 50 ohms
- 02P_max = 100 / 200 = 0.5 W
- 03Efficiency = 50%
Ready to run the numbers?
Open Maximum Power Transfer Calculator