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The resistor R₁ dissipates power P when connected to a generator. If a resistor R₂ is inserted in series with R₁, the power dissipated by R₁
- a)Increases
- b)Decreases
- c)Remains the same
- d)May decrease or increase depending on value of R₁ and R₂
Correct answer is option 'B'. Can you explain this answer?
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The resistor R₁ dissipates power P when connected to a generator. If a...
Explanation:
When a resistor R₁ is connected to a generator, it dissipates power P. Now, if a resistor R₂ is inserted in series with R₁, the power dissipated by R₁ changes.
Power dissipated by R₁:
The power dissipated by a resistor R is given by the formula:
P = I²R
Where P is the power, I is the current flowing through the resistor, and R is the resistance of the resistor.
Effect of inserting R₂ in series with R₁:
When a resistor R₂ is inserted in series with R₁, the current flowing through R₁ and R₂ remains the same. This is because the current through a series combination of resistors is the same.
Now, the effective resistance of the series combination is given by the formula:
R = R₁ + R₂
As the resistance of the combination has increased, the current flowing through the combination decreases, according to Ohm's law:
I = V/R
Where V is the voltage across the combination.
Effect on power dissipated by R₁:
As the current flowing through R₁ has decreased, the power dissipated by R₁ decreases as well. This can be seen from the formula for power:
P = I²R₁
As I has decreased, P will also decrease.
Conclusion:
Thus, we can conclude that when a resistor R₂ is inserted in series with a resistor R₁, the power dissipated by R₁ decreases.
When a resistor R₁ is connected to a generator, it dissipates power P. Now, if a resistor R₂ is inserted in series with R₁, the power dissipated by R₁ changes.
Power dissipated by R₁:
The power dissipated by a resistor R is given by the formula:
P = I²R
Where P is the power, I is the current flowing through the resistor, and R is the resistance of the resistor.
Effect of inserting R₂ in series with R₁:
When a resistor R₂ is inserted in series with R₁, the current flowing through R₁ and R₂ remains the same. This is because the current through a series combination of resistors is the same.
Now, the effective resistance of the series combination is given by the formula:
R = R₁ + R₂
As the resistance of the combination has increased, the current flowing through the combination decreases, according to Ohm's law:
I = V/R
Where V is the voltage across the combination.
Effect on power dissipated by R₁:
As the current flowing through R₁ has decreased, the power dissipated by R₁ decreases as well. This can be seen from the formula for power:
P = I²R₁
As I has decreased, P will also decrease.
Conclusion:
Thus, we can conclude that when a resistor R₂ is inserted in series with a resistor R₁, the power dissipated by R₁ decreases.
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The resistor R₁ dissipates power P when connected to a generator. If a resistor R₂ is inserted in series with R₁, the power dissipated by R₁a)Increasesb)Decreasesc)Remains the samed)May decrease or increase depending on value of R₁ and R₂Correct answer is option 'B'. Can you explain this answer?
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The resistor R₁ dissipates power P when connected to a generator. If a resistor R₂ is inserted in series with R₁, the power dissipated by R₁a)Increasesb)Decreasesc)Remains the samed)May decrease or increase depending on value of R₁ and R₂Correct answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The resistor R₁ dissipates power P when connected to a generator. If a resistor R₂ is inserted in series with R₁, the power dissipated by R₁a)Increasesb)Decreasesc)Remains the samed)May decrease or increase depending on value of R₁ and R₂Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The resistor R₁ dissipates power P when connected to a generator. If a resistor R₂ is inserted in series with R₁, the power dissipated by R₁a)Increasesb)Decreasesc)Remains the samed)May decrease or increase depending on value of R₁ and R₂Correct answer is option 'B'. Can you explain this answer?.
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