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A zener voltage regulator has load requirement of 12V and 2A. The zener diode minimumcurrent requirement is 0.2A. The minimum voltage at input is 24V. What is the seriesresistance with source required ?
  • a)
    5.45W
  • b)
    6 ohm
  • c)
    7.2 ohm
  • d)
    6.38 ohm
Correct answer is option 'A'. Can you explain this answer?
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A zener voltage regulator has load requirement of 12V and 2A. The zene...
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A zener voltage regulator has load requirement of 12V and 2A. The zene...
Given:
Load requirement: 12V, 2A
Zener diode minimum current requirement: 0.2A
Minimum input voltage: 24V

To find:
Series resistance with source required

Explanation:
To regulate the voltage across the load, we can use a zener diode voltage regulator circuit. The zener diode will maintain a constant voltage across its terminals as long as the current through it remains within a certain range.

Step 1: Determine the current through the zener diode:
The load requirement is 2A, but the zener diode minimum current requirement is 0.2A. Therefore, the current through the zener diode should be at least 0.2A.

Step 2: Calculate the power dissipated by the zener diode:
The power dissipated by the zener diode can be calculated using the formula:
Pz = Vz * Iz
where Pz is the power dissipated by the zener diode, Vz is the voltage across the zener diode, and Iz is the current through the zener diode.

In this case, the voltage across the zener diode is 12V (load requirement) and the current through the zener diode is 0.2A (minimum current requirement).
Pz = 12V * 0.2A = 2.4W

Step 3: Calculate the power dissipated by the series resistance:
The power dissipated by the series resistance can be calculated using the formula:
Pr = (Vin - Vz) * Iz
where Pr is the power dissipated by the series resistance, Vin is the input voltage, Vz is the voltage across the zener diode, and Iz is the current through the zener diode.

In this case, the input voltage is 24V (minimum input voltage), the voltage across the zener diode is 12V (load requirement), and the current through the zener diode is 0.2A (minimum current requirement).
Pr = (24V - 12V) * 0.2A = 2.4W

Step 4: Calculate the resistance value:
The resistance value can be calculated using the formula:
R = (Vin - Vz) / Iz
where R is the resistance value, Vin is the input voltage, Vz is the voltage across the zener diode, and Iz is the current through the zener diode.

In this case, the input voltage is 24V (minimum input voltage), the voltage across the zener diode is 12V (load requirement), and the current through the zener diode is 0.2A (minimum current requirement).
R = (24V - 12V) / 0.2A = 60 ohms

Conclusion:
The series resistance with source required is 60 ohms, which is not listed as an option. Therefore, there might be an error in the given options.
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