Published by:
CGP EDU Academic Team
Published on: September 12, 2026
The magnetic flux linked with a vector area
in a uniform magnetic field
is
Text Solution
Verified by ExpertsThe correct answer is:
C
To find the magnetic flux $\\Phi$ linked with a surface area vector, we use the formula:
$\\Phi = \\int \\mathbf{B} \\cdot d\\mathbf{A}$,
where $\\mathbf{B}$ is the magnetic field and $d\\mathbf{A}$ is the vector area element. For uniform magnetic fields and a flat surface, this simplifies to:
$\\Phi = \\mathbf{B} \\cdot \\mathbf{A}$.
Therefore, the expression for magnetic flux can be represented as:
$\\Phi = B \\cdot A \cos(\theta)$ where $\theta$ is the angle between the magnetic field and the normal to the surface.
Hence, if we assume the magnetic field direction is the same as the area vector, we simplify to:
$\\Phi = B A$.
Therefore, the correct option that denotes the magnetic flux is Option C.
$\\Phi = \\int \\mathbf{B} \\cdot d\\mathbf{A}$,
where $\\mathbf{B}$ is the magnetic field and $d\\mathbf{A}$ is the vector area element. For uniform magnetic fields and a flat surface, this simplifies to:
$\\Phi = \\mathbf{B} \\cdot \\mathbf{A}$.
Therefore, the expression for magnetic flux can be represented as:
$\\Phi = B \\cdot A \cos(\theta)$ where $\theta$ is the angle between the magnetic field and the normal to the surface.
Hence, if we assume the magnetic field direction is the same as the area vector, we simplify to:
$\\Phi = B A$.
Therefore, the correct option that denotes the magnetic flux is Option C.
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