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For a solenoid keeping the turn density constant its length makes halved and its cross section radius is doubled then the inductance of the solenoid increased by ?answer =100%?
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For a solenoid keeping the turn density constant its length makes halv...
Explanation:
When the length of a solenoid is halved and its cross-sectional radius is doubled, certain changes occur in its physical properties. The inductance of the solenoid is one such property that changes due to these modifications. The inductance of the solenoid is directly proportional to its length and the square of the number of turns in the wire. It is also inversely proportional to the cross-sectional area of the solenoid's coil.
Effect of halving the length of the solenoid:
When the length of the solenoid is halved, the number of turns in the wire remains constant. So, the inductance of the solenoid is halved as well.
Effect of doubling the radius of the solenoid:
The cross-sectional area of the solenoid's coil is directly proportional to the square of its radius. So, when the radius is doubled, the cross-sectional area becomes four times the original value. As a result, the inductance of the solenoid becomes four times the original value.
Net effect on the inductance of the solenoid:
Since the inductance of the solenoid is halved due to the reduction in its length and quadrupled due to the increase in its cross-sectional area, the net effect is that the inductance of the solenoid increases by 100%.
Summary:
- When the length of the solenoid is halved, the inductance of the solenoid is halved as well.
- When the radius of the solenoid is doubled, the inductance of the solenoid becomes four times the original value.
- The net effect of halving the length and doubling the radius of the solenoid is that the inductance of the solenoid increases by 100%.
When the length of a solenoid is halved and its cross-sectional radius is doubled, certain changes occur in its physical properties. The inductance of the solenoid is one such property that changes due to these modifications. The inductance of the solenoid is directly proportional to its length and the square of the number of turns in the wire. It is also inversely proportional to the cross-sectional area of the solenoid's coil.
Effect of halving the length of the solenoid:
When the length of the solenoid is halved, the number of turns in the wire remains constant. So, the inductance of the solenoid is halved as well.
Effect of doubling the radius of the solenoid:
The cross-sectional area of the solenoid's coil is directly proportional to the square of its radius. So, when the radius is doubled, the cross-sectional area becomes four times the original value. As a result, the inductance of the solenoid becomes four times the original value.
Net effect on the inductance of the solenoid:
Since the inductance of the solenoid is halved due to the reduction in its length and quadrupled due to the increase in its cross-sectional area, the net effect is that the inductance of the solenoid increases by 100%.
Summary:
- When the length of the solenoid is halved, the inductance of the solenoid is halved as well.
- When the radius of the solenoid is doubled, the inductance of the solenoid becomes four times the original value.
- The net effect of halving the length and doubling the radius of the solenoid is that the inductance of the solenoid increases by 100%.
Community Answer
For a solenoid keeping the turn density constant its length makes halv...
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For a solenoid keeping the turn density constant its length makes halved and its cross section radius is doubled then the inductance of the solenoid increased by ?answer =100%?
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For a solenoid keeping the turn density constant its length makes halved and its cross section radius is doubled then the inductance of the solenoid increased by ?answer =100%? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about For a solenoid keeping the turn density constant its length makes halved and its cross section radius is doubled then the inductance of the solenoid increased by ?answer =100%? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a solenoid keeping the turn density constant its length makes halved and its cross section radius is doubled then the inductance of the solenoid increased by ?answer =100%?.
For a solenoid keeping the turn density constant its length makes halved and its cross section radius is doubled then the inductance of the solenoid increased by ?answer =100%? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about For a solenoid keeping the turn density constant its length makes halved and its cross section radius is doubled then the inductance of the solenoid increased by ?answer =100%? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a solenoid keeping the turn density constant its length makes halved and its cross section radius is doubled then the inductance of the solenoid increased by ?answer =100%?.
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