Question

Please determine the symbolic expression for i total/iᵦ₁ in terms of β for the following darlington amplifier and given info

Consider a Darlington amplifier with three npn BJTs. Circuit parameters are Vᵦᵦ, Rᵦ, V, R, and Rₑ = 0Ω. Each BJT has an identical gain β. Assume the base-emitter turn-on voltage is Vₜₒ. Determine the symbolic expression for i, Total/iᵦ₁ in term of β. Assume active region operation.

Answer 1

The symbolic expression for iTotal/iβ₁ in terms of β for the given Darlington amplifier can be determined using the current equations. The current in the forward bias configuration is given by Inet = 10(eeVβ₁/kBT - 1), while the current with no bias is related to the reverse saturation current by Io-Isat = 2.2 × 10-8.

Step-by-step explanation:

To determine the symbolic expression for iTotal/iβ₁ in terms of β for the given Darlington amplifier, we need to consider the current equations. The current in the forward bias configuration is given by Inet = 10(eeVβ₁/kBT - 1) as stated in Equation 9.2. Meanwhile, the current with no bias is related to the reverse saturation current by Io-Isat = 2.2 × 10-8.