Two concentric circular coils of wire lie in a plane. The larger coil has 68 turns and a radius of a=8.1 cm. The smaller coil has 99 turns and a radius of b=0.6 cm. The current in the larger coil has a time dependence as shown in the figure.A) Approximately what is the magnitude of the EMF induced in the small coil at t=2 s? Note that on the graph of current versus time, the two ends of the diagonal part of the graph are at (0, 0) and (3, 5).For my answer I keep getting 3.616E-4 V or 1.0849E-4 V both of which are wrongB) Approximately what is the magnitude of the EMF induced in the small coil at t=5 s?For my answer I keep getting 8.068E-5 V or 2.4208E-5 V both of which are wrong. ### CD Geometry and Current Decay Analysis#### Diagram Description:The image consists of two main parts - a geometric diagram of a CD and a graph showing current over time.1. **Geometric Diagram of a CD:** - The diagram illustrates a CD where two radii are labeled: - \( a \) represents the outer radius of the CD. - \( b \) represents the inner radius, near the central hole of the CD.2. **Current Decay Graph:** - The vertical axis is labeled \( I_1(t) \) and represents current in amperes (A). - The horizontal axis is labeled "Time (s)" and represents time in seconds. - The graph shows the current over time with the following key features: - The current increases to a maximum of 5 amperes and maintains this level from 1 to 4 seconds. - After 4 seconds, the current starts to decay. - The decay follows an exponential function: \( (5A)e^{-[t-6s]/(2s)} \). - This indicates a decaying behavior starting from 5 seconds, tapering off gradually after reaching 5 amperes.The exponential equation implies the current decrease is not immediate and follows a time constant defined by the exponential term. Understanding this can help in analyzing similar electrical circuits and behaviors where exponential decay is observed.

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Answered: Two concentric circular coils of wire…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Two concentric circular coils of wire lie in a plane. The larger coil has 68 turns and a radius of a=8.1 cm. The smaller coil has 99 turns and a radius of b=0.6 cm. The current in the larger coil has a time dependence as shown in the figure.

A) Approximately what is the magnitude of the EMF induced in the small coil at t=2 s? Note that on the graph of current versus time, the two ends of the diagonal part of the graph are at (0, 0) and (3, 5).

For my answer I keep getting 3.616E-4 V or 1.0849E-4 V both of which are wrong

B) Approximately what is the magnitude of the EMF induced in the small coil at t=5 s?

For my answer I keep getting 8.068E-5 V or 2.4208E-5 V both of which are wrong.

### CD Geometry and Current Decay Analysis

#### Diagram Description:
The image consists of two main parts - a geometric diagram of a CD and a graph showing current over time.

1. **Geometric Diagram of a CD:**
- The diagram illustrates a CD where two radii are labeled:
- \( a \) represents the outer radius of the CD.
- \( b \) represents the inner radius, near the central hole of the CD.

2. **Current Decay Graph:**
- The vertical axis is labeled \( I_1(t) \) and represents current in amperes (A).
- The horizontal axis is labeled "Time (s)" and represents time in seconds.
- The graph shows the current over time with the following key features:
- The current increases to a maximum of 5 amperes and maintains this level from 1 to 4 seconds.
- After 4 seconds, the current starts to decay.
- The decay follows an exponential function: \( (5A)e^{-[t-6s]/(2s)} \).
- This indicates a decaying behavior starting from 5 seconds, tapering off gradually after reaching 5 amperes.

The exponential equation implies the current decrease is not immediate and follows a time constant defined by the exponential term. Understanding this can help in analyzing similar electrical circuits and behaviors where exponential decay is observed.

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