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A silicon diode has a reverse saturation current (I_s=5 ,\text{A}) and an ideality factor (n=1.2). At 300 K, what forward voltage (V) is required to obtain a forward current of (0.1,\text{A}) using the Shockley equation (I=I_s[exp(V/(nV_T))-1]) with (V_T=25.85,\text{mV})?

medium 3 marks Class 12 · Physics · Semiconductor Electronics Materials Devices and Simple Circuits
Answer
(Vapprox1.09,\text{V})

The correct answer is (Vapprox1.09,\text{V}) — 4. Multiply to get the voltage: (V=nV_Tln(1+I/I_s)=0.03102\times35.23approx1.09,\text{V}).

Step-by-step solution

  1. 1. Compute the ratio (I/I_s=0.1/5 =2 ).
  2. 2. Find (ln(1+I/I_s)approxln(2 )approx35.23).
  3. 3. Calculate the product (nV_T=1.2\times0.02585=0.03102,\text{V}).
  4. 4. Multiply to get the voltage: (V=nV_Tln(1+I/I_s)=0.03102\times35.23approx1.09,\text{V}).
Common mistake: Using (ln(I/I_s)) instead of (ln(1+I/I_s))

Concept tested: Shockley diode equation

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