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Calculate the magnetic flux density if the magnetic field strength is 3A/m.
- a)4*pi/10-7T
- b)8*pi/10-7T
- c)10*pi/10-7T
- d)12*pi/10-7T
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Calculate the magnetic flux density if the magnetic field strength is ...
We know that:
∫0=B/H
Substituting the value of H from the question, we get B= 12*pi/10-7T.
∫0=B/H
Substituting the value of H from the question, we get B= 12*pi/10-7T.
Most Upvoted Answer
Calculate the magnetic flux density if the magnetic field strength is ...
Understanding Magnetic Flux Density
Magnetic flux density (B) can be derived from the magnetic field strength (H) using the relationship:
\[ B = \mu H \]
where:
- \( B \) = magnetic flux density (in Tesla, T)
- \( H \) = magnetic field strength (in A/m)
- \( \mu \) = permeability of the medium (in H/m)
For free space, the permeability \( \mu \) is given by:
\[ \mu = \mu_0 = 4\pi \times 10^{-7} \, \text{H/m} \]
Calculating Magnetic Flux Density
Given:
- \( H = 3 \, \text{A/m} \)
Now, substituting the values into the equation:
\[ B = (4\pi \times 10^{-7} \, \text{H/m}) \times (3 \, \text{A/m}) \]
Performing the Calculation
- Calculate \( B \):
\[ B = 12\pi \times 10^{-7} \, \text{T} \]
This shows that the magnetic flux density when the magnetic field strength is 3 A/m is \( 12\pi \times 10^{-7} \, \text{T} \).
Conclusion
Since \( 12\pi \times 10^{-7} \, \text{T} \) corresponds to option 'D', the correct answer is:
Option D: 12π/10-7 T
Magnetic flux density (B) can be derived from the magnetic field strength (H) using the relationship:
\[ B = \mu H \]
where:
- \( B \) = magnetic flux density (in Tesla, T)
- \( H \) = magnetic field strength (in A/m)
- \( \mu \) = permeability of the medium (in H/m)
For free space, the permeability \( \mu \) is given by:
\[ \mu = \mu_0 = 4\pi \times 10^{-7} \, \text{H/m} \]
Calculating Magnetic Flux Density
Given:
- \( H = 3 \, \text{A/m} \)
Now, substituting the values into the equation:
\[ B = (4\pi \times 10^{-7} \, \text{H/m}) \times (3 \, \text{A/m}) \]
Performing the Calculation
- Calculate \( B \):
\[ B = 12\pi \times 10^{-7} \, \text{T} \]
This shows that the magnetic flux density when the magnetic field strength is 3 A/m is \( 12\pi \times 10^{-7} \, \text{T} \).
Conclusion
Since \( 12\pi \times 10^{-7} \, \text{T} \) corresponds to option 'D', the correct answer is:
Option D: 12π/10-7 T
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