A Zener of power rating 1 W is to be used as a voltage regulator. If Zener has a breakdown of 5 V and it has to regulate voltage which fluctuated between 3 V and 7 V, what should be the value of Rs for safe operation (see figure)?

                           

Hint: The rest of the maximum voltage should drop in the external resistance.
Step 1: Find the current in the Zener diode.
Given,
power=1 W
Zener breakdown Vz=5 V
Minimum voltage Vmin=3 V
Maximum voltage Vmax=7 V
Current IZmax=PVZ=15=0.2 A
Step 2: Find the value of the external resistance.
The value of Rs for safe operation Rs=Vmax-VZIZmax=7-50.2=20.2=10Ω