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JEE Main 2019 (10 Apr, Shift 2) · Special Purpose Diodes

Special Purpose Diodes question from JEE Main 2019 (10 Apr, Shift 2)

Q81JEE Main 2019 · 10 APR · SHIFT 2Medium

Special Purpose Diodes

The figure represents a voltage regulator circuit using a Zener diode. The breakdown voltage of the Zener diode is 6 V and the load resistance is, RL = 4kΩ\Omega. The series resistance of the circuit is Ri = 1 kΩ\Omega. If the battery voltage VB varies from 8 V to 16 V, what are the minimum and maximum values of the current through Zener diode?

Figure

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Answer: (a)

  1. Load current is fixed: IL=64 kΩ=1.5I_L = \frac{6}{4\text{ k}\Omega} = 1.5 mA
  2. At VB=8V_B = 8 V: I=8−61 kΩ=2I = \frac{8 - 6}{1\text{ k}\Omega} = 2 mA, so IZ=2−1.5=0.5I_Z = 2 - 1.5 = 0.5 mA
  3. At VB=16V_B = 16 V: I=16−61 kΩ=10I = \frac{16 - 6}{1\text{ k}\Omega} = 10 mA, so IZ=10−1.5=8.5I_Z = 10 - 1.5 = 8.5 mA
  4. So the answer is (a) 0.50.5 mA; 8.58.5 mA.
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