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COMEDK202510 May 2025Morning ShiftPhysicsSemiconductorsActual

A Si and a Ge diode has identical physical dimensions. The band gap in Si is larger than that in Ge. On applying identical reverse bias across these diodes,

Options

  1. AThe reverse current in Ge is larger than that in Si .
  2. BThe reverse current in Ge is lesser than that in Si .
  3. CThe relative magnitudes of reverse currents cannot be determined from the given data.
  4. DThe reverse current is identical in both cases.

Correct answer

A. The reverse current in Ge is larger than that in Si .

Step-by-step solution

The reverse saturation current I₀ in a p-n junction diode is primarily due to the thermally generated minority charge carriers. The concentration of these minority carriers is proportional to n_i^2 , where n_i is the intrinsic carrier concentration. The intrinsic carrier concentration n_i is given by the relation n_i^2 = A T^3 (- E_g kT ) , where E_g is the band gap energy, k is the Boltzmann constant, and T is the absolute temperature. Since the band gap E_g of Silicon (Si) is approximately 1.1 eV and that of Germ

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