need help ## Inductive Circuit AnalysisAn 820-turn wire coil of resistance **28.0 Ω** is placed around a 12,500-turn solenoid, **7.60 cm** long, as shown in the figure below. Both coil and solenoid have cross-sectional areas of **1.20 × 10⁻⁴ m²**.### Diagram Description- The diagram shows a solenoid connected in a circuit with a power supply of **60.0 V**.- The solenoid has **12,500 turns**.- An additional coil with **820 turns** and resistance **28.0 Ω** is wound around the solenoid.- The circuit includes a resistor of **14.0 Ω**.- Current flows from the power supply, through the resistor, and into the solenoid. The switch **S** is used to control the circuit.### Questions and Calculations(a) **How long does it take the solenoid current to reach 63.2% of its maximum value?**- Answer in ms: ▢(b) **Determine the average back emf caused by the self-inductance of the solenoid during this interval.**- Answer in V: ▢(c) **Determine the average rate of change in magnetic flux through the coil during this interval.**- Answer in V: ▢(d) **Determine the magnitude of the average induced current in the coil.**- Answer in A: ▢These questions involve applications of electromagnetic induction, analyzing time constants, back electromotive force (emf), and induced currents in circuits.

Answered: Image /qna-images/answer/64a4fb7e-da02-4d70-bd8c-e3c0ac639b24.jpg

An 820 turn wire coil of resistance 28.0 Q is placed around a 12500 turn solenoid, 7.60 cm long, as shown in the figure below. Both coil and solenoid have cross-sectional areas of 1.20 x 10-4 m². 14.0 2 W 60,0 V 12 500 turns. Rc 820 turns. (a) How long does it take the solenoid current to reach 63.2% of its maximum value? ms (b) Determine the average back emf caused by the self-inductance of the solenoid during this interval. (c) Determine the average rate of change in magnetic flux through the coil during this interval. V (d) Determine the magnitude of the average induced current in the coil.

An 820 turn wire coil of resistance 28.0 Q is placed around a 12500 turn solenoid, 7.60 cm long, as shown in the figure below. Both coil and solenoid have cross-sectional areas of 1.20 x 10-4 m². 14.0 2 W 60,0 V 12 500 turns. Rc 820 turns. (a) How long does it take the solenoid current to reach 63.2% of its maximum value? ms (b) Determine the average back emf caused by the self-inductance of the solenoid during this interval. (c) Determine the average rate of change in magnetic flux through the coil during this interval. V (d) Determine the magnitude of the average induced current in the coil.

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

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Ferromagnetism

Ferromagnetism is a mechanism by which some materials show magnetic properties. Iron and magnetite, an oxide of iron, are two naturally occurring materials that show the property of ferromagnetism. The word ferromagnetism is derived from the Latin name of iron, "Ferrum" as it was the first observed material to show such property. The property of ferromagnetism is shown by only a few substances such as iron, nickel, cobalt, and their alloys. Some transition metals and alloys of rare-earth metals also show ferromagnetism.

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## Inductive Circuit Analysis

An 820-turn wire coil of resistance **28.0 Ω** is placed around a 12,500-turn solenoid, **7.60 cm** long, as shown in the figure below. Both coil and solenoid have cross-sectional areas of **1.20 × 10⁻⁴ m²**.

### Diagram Description

- The diagram shows a solenoid connected in a circuit with a power supply of **60.0 V**.
- The solenoid has **12,500 turns**.
- An additional coil with **820 turns** and resistance **28.0 Ω** is wound around the solenoid.
- The circuit includes a resistor of **14.0 Ω**.
- Current flows from the power supply, through the resistor, and into the solenoid. The switch **S** is used to control the circuit.

### Questions and Calculations

(a) **How long does it take the solenoid current to reach 63.2% of its maximum value?**

- Answer in ms: ▢

(b) **Determine the average back emf caused by the self-inductance of the solenoid during this interval.**

- Answer in V: ▢

(c) **Determine the average rate of change in magnetic flux through the coil during this interval.**

- Answer in V: ▢

(d) **Determine the magnitude of the average induced current in the coil.**

- Answer in A: ▢

These questions involve applications of electromagnetic induction, analyzing time constants, back electromotive force (emf), and induced currents in circuits.

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Step 2: Determine the given variables

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Step 3: Calculate inductance

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Step 4: (a.) Calculate time taken by solenoid to reach 63.2% of its maximum value

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Step 5: (b.) Calculate back emf

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Step 6: (c.) Calculate average rate of change of magnetic flux

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