Question:

A Zener diode has a contact potential of $1\, V$ in the absence of biasing. It undergoes Zener breakdown for an electric field of $10^{6} \,V / m$ at the depletion region of $p-n$ junction. If the width of the depletion region is $2.5 \,\mu\, m$, what should be the reverse biased potential for the Zener breakdown to occur?

Updated On: Apr 15, 2024
  • 3.5 V
  • 2.5 V
  • 1.5 V
  • 0.5 V
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The Correct Option is B

Solution and Explanation

Reverse biased potential for the zener breakdown $V_{r} =E d $ $=10^{6} \times 2.5 \times 10^{-6}$ $=2.5$ volt
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Concepts Used:

Electric Field

Electric Field is the electric force experienced by a unit charge. 

The electric force is calculated using the coulomb's law, whose formula is:

\(F=k\dfrac{|q_{1}q_{2}|}{r^{2}}\)

While substituting q2 as 1, electric field becomes:

 \(E=k\dfrac{|q_{1}|}{r^{2}}\)

SI unit of Electric Field is V/m (Volt per meter).