A flat circular coil with 130 turns, a radius of 4.99 x 10-2 m, and a resistance of 0.544 2 is exposed to an external magnetic field that is directed perpendicular to the plane of the coil. The magnitude of the external magnetic field is changing at a rate of AB/At = 0.806 T/s, thereby inducing a current in the coil. Find the magnitude of the magnetic field at the center of the coil that is produced by the induced current. Number i Units
A flat circular coil with 130 turns, a radius of 4.99 x 10-2 m, and a resistance of 0.544 2 is exposed to an external magnetic field that is directed perpendicular to the plane of the coil. The magnitude of the external magnetic field is changing at a rate of AB/At = 0.806 T/s, thereby inducing a current in the coil. Find the magnitude of the magnetic field at the center of the coil that is produced by the induced current. Number i Units
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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![### Current Attempt in Progress
A flat circular coil with 130 turns, a radius of 4.99 x 10^-2 m, and a resistance of 0.544 Ω is exposed to an external magnetic field that is directed perpendicular to the plane of the coil. The magnitude of the external magnetic field is changing at a rate of ΔB/Δt = 0.806 T/s, thereby inducing a current in the coil. Find the magnitude of the magnetic field at the center of the coil that is produced by the induced current.
**Number:** [Input Field]
**Units:** [Drop-down Menu for Units]
**Hint:**
- Use Faraday’s Law of Induction to determine the induced electromotive force (emf).
- Faraday’s Law states that the induced emf in a circuit is equal to the negative rate of change of magnetic flux through the circuit: \( \mathcal{E} = -N \frac{d\Phi_B}{dt} \).
- Ohm's Law relates the induced emf and the induced current: \( \mathcal{E} = IR \).
- The Biot-Savart Law or Ampere's Law can be used to find the magnetic field produced by the induced current.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd4f76a82-a45b-406d-be18-2803b4803b03%2F3846010e-e04e-4bfe-b5a2-ac56c2cfa7aa%2Fh9jbsib_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Current Attempt in Progress
A flat circular coil with 130 turns, a radius of 4.99 x 10^-2 m, and a resistance of 0.544 Ω is exposed to an external magnetic field that is directed perpendicular to the plane of the coil. The magnitude of the external magnetic field is changing at a rate of ΔB/Δt = 0.806 T/s, thereby inducing a current in the coil. Find the magnitude of the magnetic field at the center of the coil that is produced by the induced current.
**Number:** [Input Field]
**Units:** [Drop-down Menu for Units]
**Hint:**
- Use Faraday’s Law of Induction to determine the induced electromotive force (emf).
- Faraday’s Law states that the induced emf in a circuit is equal to the negative rate of change of magnetic flux through the circuit: \( \mathcal{E} = -N \frac{d\Phi_B}{dt} \).
- Ohm's Law relates the induced emf and the induced current: \( \mathcal{E} = IR \).
- The Biot-Savart Law or Ampere's Law can be used to find the magnetic field produced by the induced current.
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