In a given circuit diagram, a 5 V zener diode along with a series resistance is connected across a 50 V power supply. The minimum value of the resistance required, if the maximum zener current is 90 mA be________ $\Omega$ .

<p>For 90 mA in zener diode, current in R should be greater than 90 mA.</p><p><span contenteditable="false"> <math> <mrow> <mfrac> <mrow> <mn>4</mn> <mn>5</mn> </mrow> <mrow> <mi>R</mi> </mrow> </mfrac> <mo>=</mo> <mn>9</mn> <mn>0</mn> <mo>×</mo> <mn>1</mn> <msup> <mrow> <mn>0</mn> </mrow> <mrow> <mo>−</mo> <mn>3</mn> </mrow> </msup> <mo>⇒</mo> <mi>R</mi> <mo>=</mo> <mfrac> <mrow> <mn>4</mn> <mn>5</mn> </mrow> <mrow> <mn>9</mn> <mn>0</mn> <mo>×</mo> <mn>1</mn> <msup> <mrow> <mn>0</mn> </mrow> <mrow> <mo>−</mo> <mn>3</mn> </mrow> </msup> </mrow> </mfrac> <mo>=</mo> <mn>5</mn> <mn>0</mn> <mn>0</mn> <mi>Ω</mi> </mrow> </math> </span></p>

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