When the current in a long, straight, air-filled solenoid is changing at the rate of 1500 A/s, the voltage across the solenoid is 0.600 V. The solenoid has 1200 tuns and uniform cross-sectional area 35.0 mm2. Assume that the magnetic field is uniform inside the solenoid and zero outside, so the inductance formula L = o AN? /l for a solenoid with N tums, uniform cross-sectional area A, and length I, applies. Part A What is the magnitude B of the magnetic field in the interior of the solenoid when the current in the solenoid is 3.00 A? Express your answer with the approppriate units. ? B = Value Units
When the current in a long, straight, air-filled solenoid is changing at the rate of 1500 A/s, the voltage across the solenoid is 0.600 V. The solenoid has 1200 tuns and uniform cross-sectional area 35.0 mm2. Assume that the magnetic field is uniform inside the solenoid and zero outside, so the inductance formula L = o AN? /l for a solenoid with N tums, uniform cross-sectional area A, and length I, applies. Part A What is the magnitude B of the magnetic field in the interior of the solenoid when the current in the solenoid is 3.00 A? Express your answer with the approppriate units. ? B = Value Units
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![**Educational Content: Magnetic Field in a Solenoid**
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**Theoretical Background:**
When the current in a long, straight, air-filled solenoid is changing at the rate of 1500 A/s, the voltage across the solenoid is 0.600 V. The solenoid has 1200 turns and a uniform cross-sectional area of 35.0 mm². Assume that the magnetic field is uniform inside the solenoid and zero outside. Thus, the inductance formula
\[ L = \frac{{\mu_0 AN^2}}{l} \]
for a solenoid with \( N \) turns, uniform cross-sectional area \( A \), and length \( l \) applies.
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**Problem Statement (Part A):**
What is the magnitude \( B \) of the magnetic field in the interior of the solenoid when the current in the solenoid is 3.00 A?
**Instruction:**
Express your answer with the appropriate units.
**Input Field:**
\[ B = \, \text{(Enter Value)} \, \text{(Enter Units)} \]
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This problem requires understanding of electromagnetic induction and the properties of solenoids, applying principles such as the inductance of a solenoid and calculating the magnetic field generated within it.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F244e3299-fc7a-406e-9388-561d601b43ed%2F61cc5f3b-0dde-4761-bff1-41d9b036a81d%2F1owi6r7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Educational Content: Magnetic Field in a Solenoid**
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**Theoretical Background:**
When the current in a long, straight, air-filled solenoid is changing at the rate of 1500 A/s, the voltage across the solenoid is 0.600 V. The solenoid has 1200 turns and a uniform cross-sectional area of 35.0 mm². Assume that the magnetic field is uniform inside the solenoid and zero outside. Thus, the inductance formula
\[ L = \frac{{\mu_0 AN^2}}{l} \]
for a solenoid with \( N \) turns, uniform cross-sectional area \( A \), and length \( l \) applies.
---
**Problem Statement (Part A):**
What is the magnitude \( B \) of the magnetic field in the interior of the solenoid when the current in the solenoid is 3.00 A?
**Instruction:**
Express your answer with the appropriate units.
**Input Field:**
\[ B = \, \text{(Enter Value)} \, \text{(Enter Units)} \]
---
This problem requires understanding of electromagnetic induction and the properties of solenoids, applying principles such as the inductance of a solenoid and calculating the magnetic field generated within it.
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