You want to regulate a 15V unregulated power supply to provide a constant 10V output using a Zener diode. If the Zener diode has a breakdown voltage of 10V and a minimum current of 5mA, calculate the series resistor value required for proper regulation.
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To regulate the 15V unregulated power supply to provide a constant 10V output using a Zener diode, we can use the following circuit:
[15V unregulated power supply] --[series resistor]--[Zener diode]--[load]--GND
We need to find the value of the series resistor required for proper regulation. The Zener diode has a breakdown voltage of 10V and a minimum current of 5mA.
To calculate the series resistor value, we can use Ohm's Law. Ohm's Law states that the voltage across a resistor is equal to the current through the resistor multiplied by the resistance:
V = I * R
In this case, the voltage across the series resistor is the voltage drop across the Zener diode, which is the difference between the unregulated supply voltage (15V) and the desired output voltage (10V). The current through the series resistor is the sum of the Zener diode current (5mA) and the load current.
Vdrop = 15V - 10V = 5V
Itotal = Izener + Iload = 5mA + Iload
To ensure proper regulation, we want the Zener diode to operate in its breakdown region, so the Zener diode current (Izener) should be equal to or greater than its minimum current rating of 5mA.
Therefore, we can set:
Izener = 5mA
Itotal = 5mA + Iload
Using Ohm's Law, we can rearrange the equation to solve for the series resistor value (R):
R = Vdrop / Itotal
Plugging in the known values:
R = 5V / (5mA + Iload)
So, the series resistor value required for proper regulation depends on the load current, as we need to find the value of Iload.
However, without additional information about the load or any current requirements, it is not possible to calculate the exact series resistor value required for proper regulation.