Semiconductors

JEE Main level, numerical answer, medium

34 of 209

Question 34 of 209

A voltage regulating circuit consisting of Zener diode, having break-down voltage of 10 V and maximum power dissipation of 0.4 W, is operated at 15 V. The approximate value of protective resistance in this circuit is ____\_\_\_\_ Ω\Omega.

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Answer: 125

The maximum current through the Zener diode is determined by its maximum power dissipation: IZ,max=PmaxVZ=0.410=0.04I_{Z,max} = \frac{P_{max}}{V_Z} = \frac{0.4}{10} = 0.04 A.
The protective series resistance must limit the current such that the Zener operates safely. Using Ohm's law across the series resistance and Zener when the Zener carries maximum current:

Rs=Vin−VZIZ,max=15−100.04=50.04=125R_s = \frac{V_{in} - V_Z}{I_{Z,max}} = \frac{15 - 10}{0.04} = \frac{5}{0.04} = 125 Ω

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