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Chapter 23: Q23.2-5PE (page 860)

Referring to Figure 23.58, what are the directions of the currents in coils 1, 2, and 3 (assume that the coils are lying in the plane of the circuit). (a) When the switch is first closed? (b) When the switch has been closed for a long time? (c) Just after the switch is opened?

Short Answer

Expert verified
  1. The switch is first closed then the coils' currents all flow in a clockwise direction.
  2. If the switch has been closed for a long time then the Induced current does not exist in any of the coils.
  3. The currents in the coils all flow in the opposite direction.

Step by step solution

01

Concept Introduction

The area of space near a magnetic body or a current-carrying body where magnetic forces caused by the body or current can be detected.

02

Direction of current flow

The current flow starts on the left side of the battery when it is reversed, and the magnetic fields produced by the wire travel through the paper to all places enclosed by the coils in question.

03

Switch is first closed(a)

The induced magnetic field in all three coils is directed into the paper when the switch is first closed, and the current in all three coils is clockwise.

04

the switch has been closed for a long time(b)

Because the current in the circuit is constant, there is no change in the magnetic field or magnetic flux if the switch is closed for a long time. There is no current in any of the coils if this is the case.

05

Just after the switch is opened(c)

The current via the circuit rapidly diminishes after the switch is opened. The induced magnetic field is in the same direction as the one created by the wire in the circuit, which in this example is out of the paper, as the current drops. As a result, the direction of the induced magnetic field in all three coils is out of the paper, and the current in all three coils is counter-clockwise.

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