**Problem Statement: Inducing Electromotive Force and Current**Gabriel and Akito now decide to work on a problem.A loop of wire in the shape of a rectangle rotates with a frequency of 310 rotations per minute in an applied magnetic field of magnitude 6 T. Assume the magnetic field is uniform. The area of the loop is \( A = 2 \, \text{cm}^2 \) and the total resistance in the circuit is \( 7 \, \Omega \).1. **Find the maximum induced emf (\( \mathcal{E}_{\text{max}} \)).** \[ \mathcal{E}_{\text{max}} = \boxed{\phantom{V}} \]2. **Find the maximum current through the bulb (\( I_{\text{max}} \)).** \[ I_{\text{max}} = \boxed{\phantom{A}} \]In this exercise, we're exploring the physical phenomena of electromagnetic induction and analyzing how the rotation of a wire loop in a magnetic field produces an electromotive force (emf) which leads to a current in the circuit.

Given data: The magnetic field, B=6 T The area of the loop, A=2 cm2=0.0002 m2 The angular frequency,…

A loop of wire in the shape of a rectangle rotates with a frequency of 310 rotation per minute in an applied magnetic field of magnitude 6 T. Assume the magnetic field is uniform. The area of the loop is A = 2 cm2 and the total resistance in the circuit is 7 22. Find the maximum induced emf. &max= V Find the maximum current through the bulb. Imax=

A loop of wire in the shape of a rectangle rotates with a frequency of 310 rotation per minute in an applied magnetic field of magnitude 6 T. Assume the magnetic field is uniform. The area of the loop is A = 2 cm2 and the total resistance in the circuit is 7 22. Find the maximum induced emf. &max= V Find the maximum current through the bulb. Imax=

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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Concept explainers

Magnetic Force

A magnetic force arises when a charged particle or a current-carrying conductor is placed in a magnetic field. It is created because of the movement of the charged particles.

Question

**Problem Statement: Inducing Electromotive Force and Current**

Gabriel and Akito now decide to work on a problem.

A loop of wire in the shape of a rectangle rotates with a frequency of 310 rotations per minute in an applied magnetic field of magnitude 6 T. Assume the magnetic field is uniform. The area of the loop is \( A = 2 \, \text{cm}^2 \) and the total resistance in the circuit is \( 7 \, \Omega \).

1. **Find the maximum induced emf (\( \mathcal{E}_{\text{max}} \)).**
\[
\mathcal{E}_{\text{max}} = \boxed{\phantom{V}}
\]

2. **Find the maximum current through the bulb (\( I_{\text{max}} \)).**
\[
I_{\text{max}} = \boxed{\phantom{A}}
\]

In this exercise, we're exploring the physical phenomena of electromagnetic induction and analyzing how the rotation of a wire loop in a magnetic field produces an electromotive force (emf) which leads to a current in the circuit.

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