
The V-I characteristics of a diode are shown in the figure. The ratio of forward to reverse bias resistance is:
A.
B.
C.
D.

Answer
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Hint:The forward I-V characteristic, that is when the diode is forward biased, the anode is positive with respect to cathode. They given when the current is positive and the voltage is also positive. On the other hand, the reverse I-V characteristics are given when the cathode is positive with respect to anode. Here, the current is positive and the voltage is negative.
Formula Used:
Forward bias resistance is given as:
where, is the difference between forward bias voltages,
is the difference between currents corresponding to particular forward bias voltages.
Reverse bias resistance is given as:
where, is the difference between reverse bias voltages,
is the difference between currents corresponding to particular reverse bias voltages.
Complete step by step answer:
The resistance offered by a diode in forward bias is very small. This is called forward resistance. On the other hand, a diode offers very high resistance when it is in reverse bias.This is called reverse resistance.
The formula for forward bias resistance is given as:
................(1)
where, is the difference between forward bias voltages and is the difference between currents corresponding to particular voltages.
From the given diagram, the voltages run from 0.7 Volts to 0.8 Volts. On the other hand, current ranges from 10 to 20 milli-Amperes. Therefore,
Substituting in equation (1)
The formula for reverse bias resistance is given as:
................(2)
where, is the difference between reverse bias voltages and is the difference between currents corresponding to particular voltages.
Also according to the diagram, the reverse bias current will be
Then, the ratio of forward bias to reverse bias resistance can be written as:
Hence, option B is the correct answer.
Note:The formula for reverse bias resistance and forward bias resistance can be written with the help of Ohm’s Law. Ohm’s law is given by
where is the voltage, is the current and is the resistance.
Thus, resistance can be written as
Thus if one writes independently in terms of forward and reverse bias resistance, this equation is,
And respectively.
Formula Used:
Forward bias resistance
where,
Reverse bias resistance
where,
Complete step by step answer:
The resistance offered by a diode in forward bias is very small. This is called forward resistance. On the other hand, a diode offers very high resistance when it is in reverse bias.This is called reverse resistance.
The formula for forward bias resistance
where,
From the given diagram, the voltages run from 0.7 Volts to 0.8 Volts. On the other hand, current ranges from 10 to 20 milli-Amperes. Therefore,
Substituting in equation (1)
The formula for reverse bias resistance
where,
Also according to the diagram, the reverse bias current will be
Then, the ratio of forward bias to reverse bias resistance can be written as:
Hence, option B is the correct answer.
Note:The formula for reverse bias resistance and forward bias resistance can be written with the help of Ohm’s Law. Ohm’s law is given by
where
Thus, resistance can be written as
Thus if one writes independently in terms of forward and reverse bias resistance, this equation is,
And
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