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The magnetic flux density \( B \) at a distance \( d \) from a long straight current-carrying conductor is given by:
\[
B = \frac{\mu_0 I}{2 \pi d}
\]
where:
- \( \mu_0 \) is the permeability of free space,
- \( I \) is the current in the conductor,
- \( d \) is the distance from the conductor.
If the distance is halved to \( \frac{d}{2} \), the new magnetic flux density \( B' \) becomes:
\[
B' = \frac{\mu_0 I}{2 \pi \left(\frac{d}{2}\right)} = \frac{\mu_0 I}{\pi d} = 2 \times \frac{\mu_0 I}{2 \pi d} = 2B
\]
Thus, the value of \( a \) is \( \boxed{2} \).?
Most Upvoted Answer
The magnetic flux density \( B \) at a distance \( d \) from a long st...
Understanding Magnetic Flux Density
The magnetic flux density \( B \) around a long straight current-carrying conductor can be analyzed using the formula:
\[ B = \frac{\mu_0 I}{2 \pi d} \]
where:
- \( \mu_0 \): Permeability of free space
- \( I \): Current in the conductor
- \( d \): Distance from the conductor

Effect of Halving the Distance
When the distance \( d \) is halved, we need to find the new magnetic flux density \( B' \):
- New distance: \( \frac{d}{2} \)
- Substitute \( \frac{d}{2} \) into the formula:
\[ B' = \frac{\mu_0 I}{2 \pi \left(\frac{d}{2}\right)} \]

Calculating \( B' \)
- Simplifying the expression:
\[ B' = \frac{\mu_0 I}{2 \pi \cdot \frac{d}{2}} = \frac{\mu_0 I}{\pi d} \]
- This can be rewritten as:
\[ B' = 2 \times \frac{\mu_0 I}{2 \pi d} = 2B \]

Conclusion
From the calculations, we see that halving the distance from the conductor results in the magnetic flux density doubling. Thus, the value of \( a \) is:

Final Answer
\( a = \boxed{2} \)
This illustrates the relationship between distance and magnetic flux density, demonstrating that as the distance decreases, the magnetic field strength increases significantly.
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The magnetic flux density \( B \) at a distance \( d \) from a long straight current-carrying conductor is given by:\[B = \frac{\mu_0 I}{2 \pi d}\]where:- \( \mu_0 \) is the permeability of free space,- \( I \) is the current in the conductor,- \( d \) is the distance from the conductor.If the distance is halved to \( \frac{d}{2} \), the new magnetic flux density \( B' \) becomes:\[B' = \frac{\mu_0 I}{2 \pi \left(\frac{d}{2}\right)} = \frac{\mu_0 I}{\pi d} = 2 \times \frac{\mu_0 I}{2 \pi d} = 2B\]Thus, the value of \( a \) is \( \boxed{2} \).?
Question Description
The magnetic flux density \( B \) at a distance \( d \) from a long straight current-carrying conductor is given by:\[B = \frac{\mu_0 I}{2 \pi d}\]where:- \( \mu_0 \) is the permeability of free space,- \( I \) is the current in the conductor,- \( d \) is the distance from the conductor.If the distance is halved to \( \frac{d}{2} \), the new magnetic flux density \( B' \) becomes:\[B' = \frac{\mu_0 I}{2 \pi \left(\frac{d}{2}\right)} = \frac{\mu_0 I}{\pi d} = 2 \times \frac{\mu_0 I}{2 \pi d} = 2B\]Thus, the value of \( a \) is \( \boxed{2} \).? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about The magnetic flux density \( B \) at a distance \( d \) from a long straight current-carrying conductor is given by:\[B = \frac{\mu_0 I}{2 \pi d}\]where:- \( \mu_0 \) is the permeability of free space,- \( I \) is the current in the conductor,- \( d \) is the distance from the conductor.If the distance is halved to \( \frac{d}{2} \), the new magnetic flux density \( B' \) becomes:\[B' = \frac{\mu_0 I}{2 \pi \left(\frac{d}{2}\right)} = \frac{\mu_0 I}{\pi d} = 2 \times \frac{\mu_0 I}{2 \pi d} = 2B\]Thus, the value of \( a \) is \( \boxed{2} \).? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The magnetic flux density \( B \) at a distance \( d \) from a long straight current-carrying conductor is given by:\[B = \frac{\mu_0 I}{2 \pi d}\]where:- \( \mu_0 \) is the permeability of free space,- \( I \) is the current in the conductor,- \( d \) is the distance from the conductor.If the distance is halved to \( \frac{d}{2} \), the new magnetic flux density \( B' \) becomes:\[B' = \frac{\mu_0 I}{2 \pi \left(\frac{d}{2}\right)} = \frac{\mu_0 I}{\pi d} = 2 \times \frac{\mu_0 I}{2 \pi d} = 2B\]Thus, the value of \( a \) is \( \boxed{2} \).?.
Solutions for The magnetic flux density \( B \) at a distance \( d \) from a long straight current-carrying conductor is given by:\[B = \frac{\mu_0 I}{2 \pi d}\]where:- \( \mu_0 \) is the permeability of free space,- \( I \) is the current in the conductor,- \( d \) is the distance from the conductor.If the distance is halved to \( \frac{d}{2} \), the new magnetic flux density \( B' \) becomes:\[B' = \frac{\mu_0 I}{2 \pi \left(\frac{d}{2}\right)} = \frac{\mu_0 I}{\pi d} = 2 \times \frac{\mu_0 I}{2 \pi d} = 2B\]Thus, the value of \( a \) is \( \boxed{2} \).? in English & in Hindi are available as part of our courses for Physics. Download more important topics, notes, lectures and mock test series for Physics Exam by signing up for free.
Here you can find the meaning of The magnetic flux density \( B \) at a distance \( d \) from a long straight current-carrying conductor is given by:\[B = \frac{\mu_0 I}{2 \pi d}\]where:- \( \mu_0 \) is the permeability of free space,- \( I \) is the current in the conductor,- \( d \) is the distance from the conductor.If the distance is halved to \( \frac{d}{2} \), the new magnetic flux density \( B' \) becomes:\[B' = \frac{\mu_0 I}{2 \pi \left(\frac{d}{2}\right)} = \frac{\mu_0 I}{\pi d} = 2 \times \frac{\mu_0 I}{2 \pi d} = 2B\]Thus, the value of \( a \) is \( \boxed{2} \).? defined & explained in the simplest way possible. Besides giving the explanation of The magnetic flux density \( B \) at a distance \( d \) from a long straight current-carrying conductor is given by:\[B = \frac{\mu_0 I}{2 \pi d}\]where:- \( \mu_0 \) is the permeability of free space,- \( I \) is the current in the conductor,- \( d \) is the distance from the conductor.If the distance is halved to \( \frac{d}{2} \), the new magnetic flux density \( B' \) becomes:\[B' = \frac{\mu_0 I}{2 \pi \left(\frac{d}{2}\right)} = \frac{\mu_0 I}{\pi d} = 2 \times \frac{\mu_0 I}{2 \pi d} = 2B\]Thus, the value of \( a \) is \( \boxed{2} \).?, a detailed solution for The magnetic flux density \( B \) at a distance \( d \) from a long straight current-carrying conductor is given by:\[B = \frac{\mu_0 I}{2 \pi d}\]where:- \( \mu_0 \) is the permeability of free space,- \( I \) is the current in the conductor,- \( d \) is the distance from the conductor.If the distance is halved to \( \frac{d}{2} \), the new magnetic flux density \( B' \) becomes:\[B' = \frac{\mu_0 I}{2 \pi \left(\frac{d}{2}\right)} = \frac{\mu_0 I}{\pi d} = 2 \times \frac{\mu_0 I}{2 \pi d} = 2B\]Thus, the value of \( a \) is \( \boxed{2} \).? has been provided alongside types of The magnetic flux density \( B \) at a distance \( d \) from a long straight current-carrying conductor is given by:\[B = \frac{\mu_0 I}{2 \pi d}\]where:- \( \mu_0 \) is the permeability of free space,- \( I \) is the current in the conductor,- \( d \) is the distance from the conductor.If the distance is halved to \( \frac{d}{2} \), the new magnetic flux density \( B' \) becomes:\[B' = \frac{\mu_0 I}{2 \pi \left(\frac{d}{2}\right)} = \frac{\mu_0 I}{\pi d} = 2 \times \frac{\mu_0 I}{2 \pi d} = 2B\]Thus, the value of \( a \) is \( \boxed{2} \).? theory, EduRev gives you an ample number of questions to practice The magnetic flux density \( B \) at a distance \( d \) from a long straight current-carrying conductor is given by:\[B = \frac{\mu_0 I}{2 \pi d}\]where:- \( \mu_0 \) is the permeability of free space,- \( I \) is the current in the conductor,- \( d \) is the distance from the conductor.If the distance is halved to \( \frac{d}{2} \), the new magnetic flux density \( B' \) becomes:\[B' = \frac{\mu_0 I}{2 \pi \left(\frac{d}{2}\right)} = \frac{\mu_0 I}{\pi d} = 2 \times \frac{\mu_0 I}{2 \pi d} = 2B\]Thus, the value of \( a \) is \( \boxed{2} \).? tests, examples and also practice Physics tests.
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