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In the following Zener regulator circuit, the current through Zener diode Iz is equal to :

A 30 V source in series with a 2 kilo-ohm resistor feeds a 12 V Zener diode carrying Iz in parallel with a load RL = 4 kilo-ohm carrying IL

  • A.4 mA
  • B.6 mA
  • C.8 mA
  • D.10 mA

Answer: B

The Zener current is 6 mA.

First check that the Zener conducts: without it the load would see \( 30 \times \frac{4}{2 + 4} = 20 \) V, above 12 V, so the Zener is in breakdown and holds the load at 12 V.

\[ \begin{aligned} I &= \frac{30 - 12}{2\ \text{k}\Omega} = 9\ \text{mA} \\ I_{L} &= \frac{12}{4\ \text{k}\Omega} = 3\ \text{mA} \\ I_{z} &= 9 - 3 = 6\ \text{mA} \end{aligned} \]

9 mA would be the answer if the load current were forgotten, and 4, 8 and 10 mA do not satisfy the two current balances above.

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