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When a constant current is applied for a time of t seconds, how can you increase the heat produced to four times?
- a)By increasing the potential difference to four times.
- b)By decreasing resistance to one-fourth.
- c)By decreasing the potential difference to one fourth.
- d)By increasing resistance to four times.
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
When a constant current is applied for a time of t seconds, how can yo...
According to Joule's law of heating, the heat produced in a resistor is directly proportional to the square of the current for a given resistance, directly proportional to the resistance for a given current and directly proportional to the time for which the current flows through the resistor. H = I2Rt
When a constant current 'I' is applied for a time of 't' seconds, the heat produced can be increased to four times by increasing the resistance to four times the original value. H1 = I2Rt ; H2 = I2(4R)t ; H2 = 4H1
When a constant current 'I' is applied for a time of 't' seconds, the heat produced can be increased to four times by increasing the resistance to four times the original value. H1 = I2Rt ; H2 = I2(4R)t ; H2 = 4H1
Most Upvoted Answer
When a constant current is applied for a time of t seconds, how can yo...
Increasing the resistance to four times will increase the heat produced to four times when a constant current is applied for a time of t seconds.
Explanation:
Ohm's Law:
According to Ohm's law, the current flowing through a conductor is directly proportional to the potential difference applied across it and inversely proportional to the resistance of the conductor.
Mathematical representation of Ohm's Law:
V = I * R
Where,
V is the potential difference across the conductor,
I is the current flowing through the conductor,
R is the resistance of the conductor.
Heat produced:
The heat produced in a conductor is given by the formula:
H = I^2 * R * t
Where,
H is the heat produced,
I is the current flowing through the conductor,
R is the resistance of the conductor,
t is the time for which the current is applied.
Effect of increasing the resistance:
When the resistance is increased, the current flowing through the conductor decreases. This is because, according to Ohm's law, the current is inversely proportional to the resistance. As a result, the heat produced in the conductor decreases.
Effect of increasing the resistance to four times:
If the resistance is increased to four times, the current flowing through the conductor will decrease to one-fourth of its original value. This can be explained using Ohm's law. Since the potential difference and resistance are constant, if the resistance is increased, the current will decrease.
Calculating the heat produced:
When the current is decreased to one-fourth of its original value, the heat produced can be calculated as follows:
H' = (I/4)^2 * (4R) * t
H' = (1/16) * (4R) * t
H' = (1/4) * R * t
The heat produced is four times the original value. Therefore, by increasing the resistance to four times, the heat produced can be increased to four times when a constant current is applied for a time of t seconds.
Explanation:
Ohm's Law:
According to Ohm's law, the current flowing through a conductor is directly proportional to the potential difference applied across it and inversely proportional to the resistance of the conductor.
Mathematical representation of Ohm's Law:
V = I * R
Where,
V is the potential difference across the conductor,
I is the current flowing through the conductor,
R is the resistance of the conductor.
Heat produced:
The heat produced in a conductor is given by the formula:
H = I^2 * R * t
Where,
H is the heat produced,
I is the current flowing through the conductor,
R is the resistance of the conductor,
t is the time for which the current is applied.
Effect of increasing the resistance:
When the resistance is increased, the current flowing through the conductor decreases. This is because, according to Ohm's law, the current is inversely proportional to the resistance. As a result, the heat produced in the conductor decreases.
Effect of increasing the resistance to four times:
If the resistance is increased to four times, the current flowing through the conductor will decrease to one-fourth of its original value. This can be explained using Ohm's law. Since the potential difference and resistance are constant, if the resistance is increased, the current will decrease.
Calculating the heat produced:
When the current is decreased to one-fourth of its original value, the heat produced can be calculated as follows:
H' = (I/4)^2 * (4R) * t
H' = (1/16) * (4R) * t
H' = (1/4) * R * t
The heat produced is four times the original value. Therefore, by increasing the resistance to four times, the heat produced can be increased to four times when a constant current is applied for a time of t seconds.
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When a constant current is applied for a time of t seconds, how can you increase the heat produced to four times?a)By increasing the potential difference to four times.b)By decreasing resistance to one-fourth.c)By decreasing the potential difference to one fourth.d)By increasing resistance to four times.Correct answer is option 'D'. Can you explain this answer?
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When a constant current is applied for a time of t seconds, how can you increase the heat produced to four times?a)By increasing the potential difference to four times.b)By decreasing resistance to one-fourth.c)By decreasing the potential difference to one fourth.d)By increasing resistance to four times.Correct answer is option 'D'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about When a constant current is applied for a time of t seconds, how can you increase the heat produced to four times?a)By increasing the potential difference to four times.b)By decreasing resistance to one-fourth.c)By decreasing the potential difference to one fourth.d)By increasing resistance to four times.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When a constant current is applied for a time of t seconds, how can you increase the heat produced to four times?a)By increasing the potential difference to four times.b)By decreasing resistance to one-fourth.c)By decreasing the potential difference to one fourth.d)By increasing resistance to four times.Correct answer is option 'D'. Can you explain this answer?.
When a constant current is applied for a time of t seconds, how can you increase the heat produced to four times?a)By increasing the potential difference to four times.b)By decreasing resistance to one-fourth.c)By decreasing the potential difference to one fourth.d)By increasing resistance to four times.Correct answer is option 'D'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about When a constant current is applied for a time of t seconds, how can you increase the heat produced to four times?a)By increasing the potential difference to four times.b)By decreasing resistance to one-fourth.c)By decreasing the potential difference to one fourth.d)By increasing resistance to four times.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When a constant current is applied for a time of t seconds, how can you increase the heat produced to four times?a)By increasing the potential difference to four times.b)By decreasing resistance to one-fourth.c)By decreasing the potential difference to one fourth.d)By increasing resistance to four times.Correct answer is option 'D'. Can you explain this answer?.
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When a constant current is applied for a time of t seconds, how can you increase the heat produced to four times?a)By increasing the potential difference to four times.b)By decreasing resistance to one-fourth.c)By decreasing the potential difference to one fourth.d)By increasing resistance to four times.Correct answer is option 'D'. Can you explain this answer?, a detailed solution for When a constant current is applied for a time of t seconds, how can you increase the heat produced to four times?a)By increasing the potential difference to four times.b)By decreasing resistance to one-fourth.c)By decreasing the potential difference to one fourth.d)By increasing resistance to four times.Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of When a constant current is applied for a time of t seconds, how can you increase the heat produced to four times?a)By increasing the potential difference to four times.b)By decreasing resistance to one-fourth.c)By decreasing the potential difference to one fourth.d)By increasing resistance to four times.Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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