Chapter 26: Problem 30
A junction diode is connected to a \(10 \mathrm{~V}\) source and \(10^{3} \Omega\) rheostate figure. The slope of load line on the characteristic curve of diode will be (a) \(10^{-2} \mathrm{AV}^{-1}\) (b) \(10^{-3} \mathrm{AV}^{-1}\) (c) \(10^{-4} \mathrm{AV}^{-1}\) (d) \(10^{-5} \mathrm{AV}^{-1}\)
Short Answer
Step by step solution
Understand Load Line and Its Equation
Slope of Load Line Derivation
Calculate the Slope
Interpret the Result
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Diode Characteristics
The diode's behavior is often represented on a characteristic curve, which shows the relationship between the diode's current and voltage. This curve directly relates to the diode's operation in practical circuits. When studying these curves, the point at which the diode starts significantly conducting current, called the knee or threshold voltage, is crucial. This point typically falls around 0.7V for silicon diodes and 0.3V for germanium diodes.
Load Resistance
In the context of load lines, the load resistance has a direct influence on the slope of the load line on the diode's characteristic curve. The resistance translates the voltage across it into current through Ohm's law, which can be rearranged in load line calculations.
- High load resistance means less current flows for the same voltage, creating a shallower slope on the curve.
- Low load resistance allows more current to flow, resulting in a steeper slope.
Voltage-Current Relationship
Mathematically, the voltage-current relationship in a load line context can be expressed with the equation: \[ V = V_{supply} - I \times R \] Here, \( V \) is the potential across the diode, \( V_{supply} \) is the supplied voltage, \( I \) is the current, and \( R \) is the load resistance.
- Below the knee voltage, the diode blocks current, behaving similarly to an open circuit.
- Beyond this voltage, the current increases rapidly.
Slope Calculation
\[ m = -\frac{1}{R} \] Here, \( m \) represents the slope and \( R \) is the load resistance.
- A steeper negative slope means a smaller change in voltage results in a larger change in current across the diode.
- A shallower slope indicates that more voltage change is needed to produce the same current change.