An 820 turn wire coil of resistance 28.0 2 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. 60.0 V 14.0 Ω W 12 500 turns Rc 820 turns (a) How long does it take the solenoid current to reach 63.2% of its maximum value? 22.1 ms (b) Determine the average back emf caused by the self-inductance of the solenoid during this interval. 38 V A (c) Determine the average rate of change in magnetic flux through the coil during this interval. X Your response differs from the correct answer by more than 10%. Double check your calculations. V (d) Determine the magnitude of the average induced current in the coil.

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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**Transcription and Explanation for Educational Context**

**Scenario:**

An 820-turn wire coil with a resistance of 28.0 Ω is placed around a 12,500-turn solenoid measuring 7.60 cm in length, as depicted in the figure. Both the coil and solenoid have cross-sectional areas of \(1.20 \times 10^{-4} \, \text{m}^2\).

**Diagram Explanation:**

The diagram shows an electrical circuit with a 60.0 V battery connected in series with a 14.0 Ω resistor and a switch (S). The solenoid in the circuit has 12,500 turns. An 820-turn coil \(R_C\) is wrapped around the solenoid.

**Questions and Responses:**

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

   **Answer:** 22.1 ms

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

   **Answer:** 38 V

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

   **Response:** Your response differs from the correct answer by more than 10%. Double-check your calculations.

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

   **Answer:** [The answer space is left blank.]

This content is structured to provide detailed understanding and step-by-step problem-solving for students learning about electromagnetic induction and the behavior of solenoids and coils in circuits.
Transcribed Image Text:**Transcription and Explanation for Educational Context** **Scenario:** An 820-turn wire coil with a resistance of 28.0 Ω is placed around a 12,500-turn solenoid measuring 7.60 cm in length, as depicted in the figure. Both the coil and solenoid have cross-sectional areas of \(1.20 \times 10^{-4} \, \text{m}^2\). **Diagram Explanation:** The diagram shows an electrical circuit with a 60.0 V battery connected in series with a 14.0 Ω resistor and a switch (S). The solenoid in the circuit has 12,500 turns. An 820-turn coil \(R_C\) is wrapped around the solenoid. **Questions and Responses:** (a) **Question:** How long does it take the solenoid current to reach 63.2% of its maximum value? **Answer:** 22.1 ms (b) **Question:** Determine the average back emf caused by the self-inductance of the solenoid during this interval. **Answer:** 38 V (c) **Question:** Determine the average rate of change in magnetic flux through the coil during this interval. **Response:** Your response differs from the correct answer by more than 10%. Double-check your calculations. (d) **Question:** Determine the magnitude of the average induced current in the coil. **Answer:** [The answer space is left blank.] This content is structured to provide detailed understanding and step-by-step problem-solving for students learning about electromagnetic induction and the behavior of solenoids and coils in circuits.
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