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The circuit shown in the figure is used to provide regulated voltage $(5 V)$ across the $1\: k\Omega$ resistor. Assume that the Zener diode has a constant reverse breakdown voltage for a current range, starting from a minimum required Zener current, $I_{Z min}=2\:mA$ to its maximum allowable current. The input voltage $V_{I}$  may vary by $5\%$ from its nominal value of $6\: V$. The resistance of the diode in the breakdown region is negligible.

                                           

The value of $R$ and the minimum required power dissipation rating of the diode, respectively, are

  1. $186\:\Omega$ and $10\:mW$
  2. $100\:\Omega$ and $40\:mW$
  3. $100\:\Omega$ and $10\:mW$
  4. $186\:\Omega$ and $40\:mW$
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