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Q. The value of power dissipated across the zener diode $\left( V _{z}=15\,V \,\right)$ connected in the circuit as shown in the figure is $x \times 10^{-1}$ watt.
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The value of $x$, to the nearest integer, is ______.

JEE MainJEE Main 2021Semiconductor Electronics: Materials Devices and Simple Circuits

Solution:

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Voltage across $R _{ S }=22-15=7\,V$
Current through $R _{ S }= I =\frac{7}{35}=\frac{1}{5}\,A$
Current through $90 \Omega= I _{2}=\frac{15}{90}=\frac{1}{6}\,A$
Current through $=\frac{1}{5}-\frac{1}{6}=\frac{1}{30}\,A$
Power through zener diode
$P =\,VI$
$P =15 \times \frac{1}{30}=0.5\,watt$
$P =5 \times 10^{-1}$ watt