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Questions and Answers
What is the correct value of charge density λ?
What is the correct value of charge density λ?
The magnetic field at the center (O) of the structure carrying 10 Amp is 0.43 Gauss.
The magnetic field at the center (O) of the structure carrying 10 Amp is 0.43 Gauss.
False
What is the magnitude of the magnetic field intensity at position O due to the current carrying wire with 5 Amp?
What is the magnitude of the magnetic field intensity at position O due to the current carrying wire with 5 Amp?
7.8510-5 T
The magnetic field at the center of the current carrying structure is ______ T.
The magnetic field at the center of the current carrying structure is ______ T.
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Match the following magnetic field measurements with their values:
Match the following magnetic field measurements with their values:
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What is the formula to determine the magnetic field B due to an n-sided polygon loop?
What is the formula to determine the magnetic field B due to an n-sided polygon loop?
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The magnetic field inside a long solenoid is uniform.
The magnetic field inside a long solenoid is uniform.
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What indicates that the magnetic field vector B has circulation or vorticity associated with it?
What indicates that the magnetic field vector B has circulation or vorticity associated with it?
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The magnetic field inside a solenoid can be represented by the formula ______.
The magnetic field inside a solenoid can be represented by the formula ______.
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Match the following terms with their description:
Match the following terms with their description:
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What is the SI unit of magnetic field (B)?
What is the SI unit of magnetic field (B)?
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The Biot-Savart law can be used to calculate the magnetic field of a steady line current.
The Biot-Savart law can be used to calculate the magnetic field of a steady line current.
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What is the relationship between Tesla (T) and Gauss?
What is the relationship between Tesla (T) and Gauss?
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The permeability of free space is denoted as ______.
The permeability of free space is denoted as ______.
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What is the expression for the magnetic field due to one side of a current carrying loop where s = R?
What is the expression for the magnetic field due to one side of a current carrying loop where s = R?
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As n approaches infinity, the expression for magnetic field approaches that of a circular loop.
As n approaches infinity, the expression for magnetic field approaches that of a circular loop.
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In the case of an infinite wire, what is the value of θ1 and θ2?
In the case of an infinite wire, what is the value of θ1 and θ2?
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Match the following expressions with their respective scenarios:
Match the following expressions with their respective scenarios:
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Study Notes
Magnetic Field at Center of Current Carrying Structure
- The magnetic field at the center (O) of a structure carrying 10 Amp is 0.43 Gauss.
- The magnetic field intensity at position O due to the current carrying wire with 5 Amp is half of the magnetic field at the center (O) of the structure carrying 10 Amp.
- The magnetic field at the center of the current carrying structure is 0.215 Gauss.
Magnetic Field of a Polygon Loop
- The magnetic field B due to an n-sided polygon loop is calculated using the formula: B = (μ₀ * I * n) / (2 * π * R)
- Where μ₀ is the permeability of free space, I is the current, n is the number of sides, and R is the radius of the polygon.
Magnetic Field Inside a Solenoid
- The magnetic field inside a long solenoid is uniform.
- The magnetic field vector B has circulation or vorticity associated with it, which is indicated by the curl of the magnetic field vector B.
- The magnetic field inside a solenoid can be represented by the formula: B = μ₀ * n * I
- Where μ₀ is the permeability of free space, n is the number of turns per unit length, and I is the current.
Magnetic Field Units and Constants
- The SI unit of magnetic field (B) is Tesla (T).
- The Biot-Savart law can be used to calculate the magnetic field of a steady line current.
- The relationship between Tesla (T) and Gauss is: 1 Tesla = 10,000 Gauss.
- The permeability of free space is denoted as μ₀ and its value is 4π × 10^-7 H/m.
Magnetic Field Due to a Current Carrying Loop
- The expression for the magnetic field due to one side of a current carrying loop where s = R is: B = (μ₀ * I) / (4π * R) * (θ1 - θ2)
- As n approaches infinity, the expression for magnetic field approaches that of a circular loop.
Magnetic Field Due to an Infinite Wire
- In the case of an infinite wire, the value of θ1 and θ2 is 0 and π respectively.
- The expression for the magnetic field due to an infinite wire is: B = (μ₀ * I) / (2π * r)
- Where μ₀ is the permeability of free space, I is the current, and r is the distance from the wire.
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Description
This quiz explores the Biot-Savart law and its application in calculating magnetic fields generated by steady currents. It covers key formulas, units in both SI and CGS, and specific cases like long straight wires and circular loops. Test your understanding of these concepts and their implications in electromagnetism.
