# Analysis Of Using Maximum Power And Norton's Theorem

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PROCEDURE

Maximum power and Norton’s Theorem will be performed to solve the unknowns within the given circuit. How to use both Maximum Power and Norton’s Theorem properly, are to be explained in order to solve a circuit using these approaches.

THEORY

MAXIMUM POWER Maximum power states that a load receives max power from a network when it’s resistance is exactly equal to the Thevenin and Norton resistance of the network supplying the power (as shown below):

If the load resistance is higher or lower than the Thevenin/Norton equivalent then there would be no maximum power continued on next page: AT 0.5 Ω:

AT 1.1 Ω In Max Power a bell curve graph would be used to show the correlation between power (R_L) versus resistance (R_S)

But in Norton’s Theorem the equivalent circuit has a current source and a resistance in parallel with the load resistance (R_X). Continued on next page: HOW IS IT USED

When using Norton’s Theorem the load resistance is removed and replaced with a short (wire) and points labeled A and B. The reason to label the points A and B is to show where the meter would measure the unknown voltage and current associated with the load resistance. Next the load resistor is placed into the Norton’s equivalent circuit. In addition to that, the equivalent circuit is where to solve for the Norton resistance (R_N) and the Norton current (I_N). Continued on next page:

HOW TO DO KIRCHHOFF’S LAWS

Kirchhoff’s Laws are a great habit continue to have and use. These laws will help to see if the computations that were done within a circuit and the polarities are correct.

Kirchhoff’s Voltage Law (KVL):

Kirchhoff Voltage Law (KVL) states that the sum of the rises and falls around a complete path throughout the circuit that equals zero. The formula used is: 0 =V_1+ V_2+V_3

Kirchhoff’s Current Law (KCL) (continued on next

Maximum power and Norton’s Theorem will be performed to solve the unknowns within the given circuit. How to use both Maximum Power and Norton’s Theorem properly, are to be explained in order to solve a circuit using these approaches.

THEORY

MAXIMUM POWER Maximum power states that a load receives max power from a network when it’s resistance is exactly equal to the Thevenin and Norton resistance of the network supplying the power (as shown below):

If the load resistance is higher or lower than the Thevenin/Norton equivalent then there would be no maximum power continued on next page: AT 0.5 Ω:

AT 1.1 Ω In Max Power a bell curve graph would be used to show the correlation between power (R_L) versus resistance (R_S)

*…show more content…*But in Norton’s Theorem the equivalent circuit has a current source and a resistance in parallel with the load resistance (R_X). Continued on next page: HOW IS IT USED

When using Norton’s Theorem the load resistance is removed and replaced with a short (wire) and points labeled A and B. The reason to label the points A and B is to show where the meter would measure the unknown voltage and current associated with the load resistance. Next the load resistor is placed into the Norton’s equivalent circuit. In addition to that, the equivalent circuit is where to solve for the Norton resistance (R_N) and the Norton current (I_N). Continued on next page:

HOW TO DO KIRCHHOFF’S LAWS

Kirchhoff’s Laws are a great habit continue to have and use. These laws will help to see if the computations that were done within a circuit and the polarities are correct.

Kirchhoff’s Voltage Law (KVL):

Kirchhoff Voltage Law (KVL) states that the sum of the rises and falls around a complete path throughout the circuit that equals zero. The formula used is: 0 =V_1+ V_2+V_3

Kirchhoff’s Current Law (KCL) (continued on next