**Problem Statement:**A circular loop of wire with a radius of $14.0 \, \text{cm}$ containing a $23.0 \, \Omega$ resistor is perpendicular to uniform magnetic fields that start out at $2.0 \, \text{T}$ and steadily decrease at $0.10 \, \text{T/s}$. While this field is changing, what is the value of the induced current in the wire loop?**Solution Explanation:**To find the induced current, use Faraday's Law of Electromagnetic Induction, which states that the induced electromotive force (EMF) in a closed loop is equal to the negative rate of change of magnetic flux through the loop.1. **Calculate the Area of the Loop**: \[ A = \pi r^2 = \pi (0.14 \, \text{m})^2 \]2. **Find the Rate of Change of Magnetic Flux**: \[ \text{d}\Phi/\text{dt} = A \times (-0.10 \, \text{T/s}) \]3. **Calculate the Induced EMF**: \[ \text{EMF} = -\text{d}\Phi/\text{dt} \]4. **Find the Induced Current** using Ohm's Law: \[ I = \frac{\text{EMF}}{R} \]The problem can thus be solved step-by-step through these calculations to find the induced current in the loop.

Given Data Radius of the circular loop is r=14.0 cm=14.0 cm×1 m100 cm=0.140 m Resistance of the wire…

A circular loop of wire with the radius of 14.0 cm containing a 23.00 resistor is perpendicular to the uniform magnetic fields that starts out at 2.0 T and steadily decreases at 0.10 T/s. While this field is changing what is the value of the induced current in the wire loop?

A circular loop of wire with the radius of 14.0 cm containing a 23.00 resistor is perpendicular to the uniform magnetic fields that starts out at 2.0 T and steadily decreases at 0.10 T/s. While this field is changing what is the value of the induced current in the wire loop?

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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