If voltage across zener diode is 6V then out value of maximum resistance in this condition-

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Standard XII

Physics

Zener Diode

Question

If voltage across zener diode is $$6V$$ then find out value of maximum resistance in this condition.

$$5\ k\Omega$$

$$1\ k\Omega$$

$$4\ k\Omega$$

$$2\ k\Omega$$

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Solution

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Correct option is D. $$4\ k\Omega$$
b'
Current through the circuit , $$i = \dfrac {30}{R + 1} mA$$

Voltage across $$1\ k\Omega = \dfrac {30}{R + 1} . 1 = \dfrac {30}{R + 1} = v_{z}$$ (Since zener diode is voltage regulator and regulates $$v_z$$ across resistance $$R=1k\Omega$$
Also $$i=6mA$$ (Given)

$$\dfrac {30}{R + 1} = 6$$
$$30 = 6R + 6$$
$$24 = 6R \implies R =\dfrac {24}{6} = 4\ k\Omega$$.
'

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