Magnetic flux and magnetic field at a point are related concepts in electromagnetism, but they are fundamentally different. Below is the concise differentiation:
Magnetic Flux | Magnetic Field at a Point |
---|---|
Scalar quantity | Vector quantity |
\( \Phi_B = B A \cos \theta \) | \( \mathbf{B} = \frac{F}{qv} \) |
Measured in Weber (Wb) | Measured in Tesla (T) |
Depends on area | Depends on current and distance |
Total number of field lines through a surface | Local property of space at a point |
In summary, magnetic flux is the total magnetic field passing through a given area, while the magnetic field at a point refers to the local magnetic influence at a specific point in space.
Show that the line passing through the points A $(0, -1, -1)$ and B $(4, 5, 1)$ intersects the line joining points C $(3, 9, 4)$ and D $(-4, 4, 4)$.
Find the interval in which $f(x) = x + \frac{1}{x}$ is always increasing, $x \neq 0$.