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Question Bank (3 marks) · Q1

Q.Show that the ohmic drop makes the forward VI characteristics of a power diode more linear.

Karnataka PUCTextbookLong· 3mImportance★★★★★est
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[!TLDR]

The series resistance of the n⁻ drift region adds a current-proportional term IFRONI_F R_{ON} that turns the sharp exponential forward curve into an almost straight line.

Unlike an ordinary signal diode, a power diode has a thick, lightly doped n⁻ drift region inserted between the p⁺ anode and n⁺ cathode layers to block high reverse voltage. This drift region has a finite ohmic resistance RONR_{ON}. When the diode conducts in the forward direction, the total anode-to-cathode voltage is the sum of the junction drop and the ohmic drop across the drift region:

VAK=Vj+VRD=Vj+IFRONV_{AK}=V_j+V_{RD}=V_j+I_F R_{ON}

In a signal diode the forward current follows the Shockley relation and rises exponentially with voltage, so the characteristic shows a sharp knee and then shoots up almost vertically. In a power diode, once the junction is forward biased and VjV_j is essentially fixed near the knee, any further increase in current mainly increases the linear term IFRONI_F R_{ON}, which is directly proportional to IFI_F. Hence above the knee the current increases in proportion to the voltage and the V-I curve becomes an almost straight line whose slope is set by 1/RON1/R_{ON}, instead of the near-vertical exponential rise.

[!ANSWER]

Because VAK=Vj+IFRONV_{AK}=V_j+I_F R_{ON}, the current-proportional ohmic drop dominates above the knee and makes the forward characteristic a straight (linear) line of slope RONR_{ON}.

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