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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?

Short Answer

Expert verified

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

Step by step solution

01

Step 1: Given

  1. Fig.30-31.
  2. A wire loop lies partially in a magnetic field.
  3. In this situation, the battery is a part of the loop.
02

Determining the concept

Applying Lenz鈥檚 law in given Fig.30-31, find the induced current iind and comparing it with the direction of the current ibat 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:

Eemf=Nddt

Where,

E = induced emf.

d= change in magnetic flux.

N = number of turns in coil.

dt = change in time.

03

Determining the situations in which, the induced emf and the battery emf are in the same direction along the loop

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

Applying Lenz鈥檚 law in Fig.30-31(a), the direction of induced currentiindisclockwisebut the direction of current from the batteryibatiscounterclockwise.

Applying Lenz鈥檚 law in Fig.30-31(b), the direction of induced currentiindisclockwisebut the direction of current from the batteryibatis alsoclockwise.

Applying Lenz鈥檚 law in Fig.30-31(c), the direction of induced currentiindis counterclockwise but the direction of current from the batteryibatis clockwise.

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

Using Lenz鈥檚 law, answer this question.

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