Find the average gate power dissipation (P_gav) when the maximum allowable gate power dissipation is (P_gm) = 10 kW with a duty cycle = 50 %.

Explanation:

Average Gate Power Dissipation (Pgav)

Definition: Average gate power dissipation (Pgav) refers to the average power dissipated by a gate over a period of time. This is a critical parameter in the design and operation of electronic systems, as it affects the thermal management and overall efficiency of the system.

Given Problem:

We need to find the average gate power dissipation (Pgav) when the maximum allowable gate power dissipation (Pgm) is 10 kW and the duty cycle is 50%.

Duty Cycle: The duty cycle of a system is defined as the fraction of time during which a system is active. It is usually expressed as a percentage. For example, a 50% duty cycle means the system is active for half the time and inactive for the other half.

Formula:

The average gate power dissipation can be calculated using the formula:

Pgav = Pgm × Duty Cycle

Where:

• Pgm is the maximum gate power dissipation.
• Duty Cycle is the fraction of time the system is active (expressed as a decimal).

Calculation:

Given:

• Maximum allowable gate power dissipation (Pgm) = 10 kW
• Duty Cycle = 50% = 0.5 (as a decimal)

Substituting these values into the formula:

Pgav = Pgm × Duty Cycle

Pgav = 10 kW × 0.5

Pgav = 5 kW

Therefore, the average gate power dissipation (Pgav) is 5 kW.

Conclusion:

The correct option is:

Option 4: 5 kW

This calculation shows that when the maximum allowable gate power dissipation is 10 kW and the duty cycle is 50%, the average gate power dissipation is 5 kW.

Additional Information

To further understand the analysis, let’s evaluate the other options:

Option 1: 10 kW

This option is incorrect because it represents the maximum allowable gate power dissipation, not the average gate power dissipation. The average gate power dissipation depends on the duty cycle, and in this case, it is 50% of the maximum allowable value.

Option 2: 2.5 kW

This option is incorrect because it represents a scenario where the duty cycle would be 25%, not 50%. The given duty cycle is 50%, so the average gate power dissipation should be higher than 2.5 kW.

Option 3: 7 kW

This option is incorrect because it does not align with the given duty cycle of 50%. For a duty cycle of 50%, the average gate power dissipation would be exactly half of the maximum allowable value, which is 5 kW, not 7 kW.

Understanding the relationship between duty cycle and power dissipation is crucial in electronic system design. The average power dissipation helps in effective thermal management and ensures the system operates within safe limits. The correct calculation and understanding of these parameters ensure the reliability and efficiency of electronic circuits and systems.