Question #213229

A Zener diode regulator circuit

must

provide a constant voltage of 12V, across

a 250Ω load resistor. The circuit uses a 24V input DC source, a 12V Zener

diode and a 50Ω series resistance. Calculate the minimum acceptable power

rating of the Zener diode.

Expert's answer

Total current in the circuit

"I=\\frac{24-12}{50}=\\frac{12}{50}=0.24A\\\\\nV_z=12V\\\\"

Current in 250ohms resistor

"I_R=\\frac{12}{250}=0.048A"

Current through zener diode is

"I=I_z+I_R\\\\\nI_z=0.24-0.048=0.192A\\\\"

Minimum acceptable power is

"P_z=I_z\\cdot V_z\\\\\nP_z=0.192\\cdot 12=2.304W"

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