$B_s$ is nonuniform, and it's generated from a movable source(e.g magnet or electromagnet).
A rectangular loop of area $A$ is stationary.
The variation of flux for this case is caused from the following:
- Spatial movement of $B_s$.
- Strength variation $B_s$ of due to (1).
How can I quantitatively formulate $\varepsilon_{induced}$ here?
I could assume that:
$$\varepsilon_{induced} =\oint \vec{E} \cdot \vec{dl} = -\frac{\delta \Phi}{\delta t}$$
to:
$$\varepsilon_{induced} =\oint \vec{E} \cdot \vec{dl} = -\int \frac{\delta B_s}{\delta t} \cdot \vec{da}$$
But how can I factor in the effects of 1&2 to $\delta B_s$?
From my textbook,the examples brought up had the effects(1&2) mutually exclusive, but for this case both add to $\varepsilon_{induced}$
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