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Calculate the magnetic field strength if the magnetic flux density is 4*piT.
- a)10-7/16*pi2A/m
- b)10-7A/m
- c)107A/m
- d)10-7A
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Calculate the magnetic field strength if the magnetic flux density is ...
We know that:
∫0=B/H
Substituting the value of B from the question, we get H = 107A/m.
∫0=B/H
Substituting the value of B from the question, we get H = 107A/m.
Most Upvoted Answer
Calculate the magnetic field strength if the magnetic flux density is ...
To calculate the magnetic field strength, we need to know the magnetic flux density and the formula relating the two quantities.
The formula relating magnetic flux density (B) and magnetic field strength (H) is:
B = μH
Where:
B = Magnetic flux density (in Tesla, T)
H = Magnetic field strength (in Ampere per meter, A/m)
μ = Permeability of the medium (in Henry per meter, H/m)
In this question, the magnetic flux density is given as 4πT. We can substitute this value into the formula:
4πT = μH
To find the value of μ, we can use the permeability of free space, which is given as:
μ0 = 4π × 10^-7 H/m
Comparing the equation with the given value, we can see that 4πT is equivalent to μH, where μ is μ0. Therefore, we can substitute μ0 into the equation:
4πT = μ0H
Now we can solve for H by rearranging the equation:
H = (4πT) / μ0
Substituting the value of μ0:
H = (4πT) / (4π × 10^-7 H/m)
The 4π terms cancel out, leaving us with:
H = T / (10^-7 H/m)
Since 1 A/m is equal to 10^-7 H/m, we can rewrite the equation as:
H = T / (1 A/m)
Therefore, the magnetic field strength is equal to the given magnetic flux density, which is 4πT, in Amperes.
Hence, the correct answer is option 'C': 10^7 A/m.
The formula relating magnetic flux density (B) and magnetic field strength (H) is:
B = μH
Where:
B = Magnetic flux density (in Tesla, T)
H = Magnetic field strength (in Ampere per meter, A/m)
μ = Permeability of the medium (in Henry per meter, H/m)
In this question, the magnetic flux density is given as 4πT. We can substitute this value into the formula:
4πT = μH
To find the value of μ, we can use the permeability of free space, which is given as:
μ0 = 4π × 10^-7 H/m
Comparing the equation with the given value, we can see that 4πT is equivalent to μH, where μ is μ0. Therefore, we can substitute μ0 into the equation:
4πT = μ0H
Now we can solve for H by rearranging the equation:
H = (4πT) / μ0
Substituting the value of μ0:
H = (4πT) / (4π × 10^-7 H/m)
The 4π terms cancel out, leaving us with:
H = T / (10^-7 H/m)
Since 1 A/m is equal to 10^-7 H/m, we can rewrite the equation as:
H = T / (1 A/m)
Therefore, the magnetic field strength is equal to the given magnetic flux density, which is 4πT, in Amperes.
Hence, the correct answer is option 'C': 10^7 A/m.
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