Question 98 of 209

A Zener diode with a breakdown voltage of $4V$ is connected in series with a resistance $R$ to a battery of emf $10V$. The maximum power dissipation rating for the Zener diode is $1W$. The value of $R$ to ensure maximum power dissipation across the diode is

A$12\Omega$B$24\Omega$C$36\Omega$D$6\Omega$

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Answer: (B) $24\Omega$

${\text{P}}_{\text{zener}}=4i=1$
$\Rightarrow i=\dfrac{1}{4}A$

$i=\dfrac{6}{R}=\dfrac{1}{4}$
$\Rightarrow R=24\Omega$