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If the reverse voltage across a p-n junction is increased three times, the junction capacitance
- a)will decrease
- b)will increase
- c)will decrease by an approximate factor of about 2
- d)will increase by an approximate factor of about 2
Correct answer is option 'C'. Can you explain this answer?
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If the reverse voltage across a p-n junction is increased three times,...
Increase of reverse voltage widens the depletion layer and junction capacitance decreases. However the decrease in capacitance is not proportional to increase in voltage.
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If the reverse voltage across a p-n junction is increased three times,...
Increasing the reverse voltage across a p-n junction has an effect on the junction capacitance. The junction capacitance is primarily determined by the depletion region width, which is the region devoid of majority carriers (electrons in the p-region and holes in the n-region) due to the presence of the reverse bias voltage.
Explanation:
When a p-n junction is reverse biased, the majority carriers are repelled from the junction, resulting in the widening of the depletion region. This widening of the depletion region causes an increase in the junction capacitance. The junction capacitance is directly proportional to the width of the depletion region.
Effect of Increasing Reverse Voltage:
When the reverse voltage across the p-n junction is increased three times, it causes a further widening of the depletion region. This increased reverse voltage attracts more majority carriers away from the junction, resulting in an even wider depletion region.
Consequence on Junction Capacitance:
As stated earlier, the junction capacitance is directly proportional to the width of the depletion region. Therefore, when the reverse voltage is increased three times, the depletion region width increases proportionally.
Approximate Factor:
The relationship between the reverse voltage and the depletion region width is not linear, but it can be approximated as a square root relationship. Therefore, if the reverse voltage is increased three times, the depletion region width will increase by an approximate factor of about the square root of 3, which is approximately 1.73.
Conclusion:
In summary, increasing the reverse voltage across a p-n junction will cause the junction capacitance to decrease by an approximate factor of about 2. This is because the reverse voltage widens the depletion region, which is directly proportional to the junction capacitance.
Explanation:
When a p-n junction is reverse biased, the majority carriers are repelled from the junction, resulting in the widening of the depletion region. This widening of the depletion region causes an increase in the junction capacitance. The junction capacitance is directly proportional to the width of the depletion region.
Effect of Increasing Reverse Voltage:
When the reverse voltage across the p-n junction is increased three times, it causes a further widening of the depletion region. This increased reverse voltage attracts more majority carriers away from the junction, resulting in an even wider depletion region.
Consequence on Junction Capacitance:
As stated earlier, the junction capacitance is directly proportional to the width of the depletion region. Therefore, when the reverse voltage is increased three times, the depletion region width increases proportionally.
Approximate Factor:
The relationship between the reverse voltage and the depletion region width is not linear, but it can be approximated as a square root relationship. Therefore, if the reverse voltage is increased three times, the depletion region width will increase by an approximate factor of about the square root of 3, which is approximately 1.73.
Conclusion:
In summary, increasing the reverse voltage across a p-n junction will cause the junction capacitance to decrease by an approximate factor of about 2. This is because the reverse voltage widens the depletion region, which is directly proportional to the junction capacitance.
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If the reverse voltage across a p-n junction is increased three times, the junction capacitancea)will decreaseb)will increasec)will decrease by an approximate factor of about 2d)will increase by an approximate factor of about 2Correct answer is option 'C'. Can you explain this answer?
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