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.
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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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5f1b7c10-7ca4-413c-bb43-fe1a15020101%2F9fb127a1-a692-4501-ae04-436c523c4289%2F5mime8a_processed.jpeg&w=3840&q=75)
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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