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Q11Q

Expert-verifiedFound in: Page 895

Book edition
10th Edition

Author(s)
David Halliday

Pages
1328 pages

ISBN
9781118230718

**Figure 30-31 shows three situations in which a wire loop lies partially in a magnetic field.The magnitude of the field is either increasing or decreasing, as indicated. In each situation, a battery is part of the loop. In which situations are the induced emf and the battery emf in the same direction along the loop?**

In situation (*b*), the induced emf and the battery emf in the same direction along the loop.

- Fig.30-31.
- A wire loop lies partially in a magnetic field.
- In this situation, the battery is a part of the loop.

**Applying Lenz’s law in given Fig.30-31, find the induced current ${{\mathit{i}}}_{\mathbf{i}\mathbf{n}\mathbf{d}}$ and comparing it with the direction of the current ${{\mathit{i}}}_{\mathbf{b}\mathbf{a}\mathbf{t}}$ from the battery, find in which situations, the induced emf and the battery emf in the same direction along the loop.**

Formulae are as follow:

${E}_{emf}=\u2010N\frac{d\varnothing}{dt}$

Where,

*E * = induced emf.

$d\varnothing $ = change in magnetic flux.

*N * = number of turns in coil.

*dt* = change in time.

Lenz’s law gives direction of induced current. From Fig.30-5, the direction of the induced current in various conditions.

Applying Lenz’s law in Fig.30-31(a), the direction of induced current ${i}_{ind}$ is clockwise but the direction of current from the battery ${i}_{bat}$ is counterclockwise.

Applying Lenz’s law in Fig.30-31(b), the direction of induced current ${i}_{ind}$ is clockwise but the direction of current from the battery ${i}_{bat}$ is also clockwise.

Applying Lenz’s law in Fig.30-31(c), the direction of induced current ${i}_{ind}$ is counterclockwise but the direction of current from the battery ${i}_{bat}$ is clockwise.

Therefore, in (*b*) situation, the induced emf and the battery emf are in the same direction along the loop.

** **

Using Lenz’s law, answer this question.

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