Electronic Machines and Control: Revision

\( V = IR \)

\( Q = IT \)

\( W = I^2 RT \)

\( P = \frac{I^2 RT}{T} = I^2 R \)

Kirchoff's Current Law

Conservation of charge: sum of current entering a point is zero.

$$ \sum_{k=1}^{n} I_k = 0 $$

Kichoff's Voltage Law

Sum of voltage in a closed loop is zero; where the direction of the loop follows the direction of voltage.

Voltage Divider Rule/Potential Divider

$$ V_{out} = \frac{Z_2}{Z_1 + Z_2} V_{in} $$

Current Divider Rule

$$ I_{R1} = \frac{R_2 + \cdots + R_n}{R_1 + R_2 + \cdots + R_n}I_{sum of current in branches past R_1} $$