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Learning Introductory Physics with Activities

Section 29.1 Faraday’s Law

Definition 29.1.1. Faraday’s Law.

Faraday’s Law says that if the magnetic flux through a surface changes with time, a voltage is induced within the current carrying material:
\begin{equation*} V_{induced} = - \frac{d\mathit{\Phi}_B}{dt} \end{equation*}
Table 29.1.3. Example Magnetic Induction Table
Quantity Direction or Sign Magnitude
\(\vec{A}\) Out \(xy\)
\(\vec{B}\) out \(B\)
\(\Phi_B\) \(+\) \(Bxy\)
\(\frac{d\Phi_B}{dt}\) \(-\) \(Bxv_y\)
\(V_{ind}\) \(+\) \(Bxv_y\)
\(I_{ind}\) \(ccw\) \(\frac{Bxv_y}{R}\)

Exercises Activities

The current-carrying wire below is being pulled downward, away from the square metal loop.
Figure 29.1.4. A long wire carrying current to the right below a wire loop.

1.

As the wire is moving, is there a clockwise current induced around the loop, a counterclockwise current, or no current? Create a magnetic induction table to explain your reasoning.

2.

Describe a different experiment you could do with the setup in the figure that would result in an induced current in the loop. What direction will the current in the loop be for your experiment, and why?