PN Junction Under Bias Simulator — Forward & Reverse Bias Diode Current Interactive

Interactive PN junction bias laboratory: sweep forward and reverse voltage and read depletion width, barrier, diode current and capacitance.

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About the PN Junction Under Bias Simulator

This simulator puts an adjustable supply across a PN junction and shows what happens inside and outside the diode. Forward bias narrows the barrier and lets current grow exponentially; reverse bias widens the depletion region, lowers capacitance and leaves only a small saturation current.

What the simulator shows

• A diode test fixture, a magnified depletion section, an adjustable voltage source, an electron barrier-energy ribbon and injection and reverse-leakage markers. • Controls for applied p-to-n voltage (-5 V to 0.55 V), acceptor and donor concentration exponents (10¹⁵ to 10¹⁷ cm⁻³), junction area (0.01-1 mm²) and an automatic sweep from -2 V to +0.5 V. • Readouts for applied bias, ideal diode current, depletion width, electrostatic barrier, depletion capacitance and reverse saturation current. • Experiments for reverse bias (depletion widens, capacitance falls, current approaches -Is) and forward bias (the barrier narrows and current rises exponentially).

Equations used

The ideal diode equation is I = Is[exp(Va/VT) - 1], with Is = q A ni² [Dp/(Lp ND) + Dn/(Ln NA)], using Dn = 35 and Dp = 12 cm²/s and Ln = Lp = 0.01 cm. The barrier becomes Vbarrier = Vbi - Va, which sets the depletion width, and Cj = εsi A / W. Reverse bias therefore raises the barrier and width while dropping capacitance; forward bias does the opposite and current grows by about a decade for every 60 mV.

Model boundaries

This is an ideal abrupt silicon diode at 300 K with an ideality factor of one. It has no series resistance, high-level injection, generation-recombination current or breakdown, and bias is limited to values below the built-in voltage. The animated sweep overrides manual voltage while enabled.

Frequently asked questions

Why does forward bias increase current exponentially?

Forward bias lowers the potential barrier by the applied voltage, so the number of carriers able to cross rises as exp(Va/VT). That is the exponential term in the ideal diode equation.

What happens to the depletion region in reverse bias?

Reverse bias raises the electrostatic barrier to Vbi plus the reverse voltage, widening the depletion region. A wider region means lower junction capacitance, since Cj = εsi A / W.

What is reverse saturation current?

It is the small leakage current that remains in strong reverse bias, set by minority-carrier diffusion near the depletion edges. In this model current approaches -Is as reverse bias grows.

What does the ideal diode model leave out?

Series resistance, generation-recombination current, high-level injection and breakdown are not included, so real diodes differ at high current and large reverse voltage.

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