Please with the solution to this problem. ### Magnetic Field and Induced EMF in a Square Loop Circuit**Problem Statement:**A square loop circuit, as depicted in the figure, exists in a magnetic field given by \(\vec{B}(t) = 4 \hat{z} \cos(2 \pi 10^3 t) \text{ mT}\). Analyze the square loop to address the following questions:#### (a) What is the total flux \(\Phi\) passing through the loop?#### (b) What is the induced EMF?#### (c) What is the current in the loop?#### (d) Indicate the direction of the current at \(t = \frac{1}{8} \times 10^{-3} \text{s} = 0.125 \text{ms}\) on the figure below with an arrow and briefly justify your answer.**Figure Description:**The provided figure shows:- A square loop with each side measuring 0.5 m.- The top side of the square loop carries a resistor of 500 \(\Omega\).- The magnetic field \(\vec{B}\) is oriented normal to the plane of the loop and directed along the z-axis (indicated by the dot inside the circle).**Graph/Diagram Explanation:**The diagram presents an \(xy\)-plane with the square loop situated in it. The coordinates specify that the sides of the loop align parallel to the x and y axes. The magnetic field vector \(\vec{B}\) pointing out of the plane is denoted with a circle containing a dot (indicating the tail of the vector perpendicular to the plane). The resistor in the loop emphasizes the circuit component for calculating the current derived from induced EMF.**Calculation Steps:**1. **Flux (\(\Phi\)):** - Calculate the total magnetic flux passing through the loop at any time \(t\).2. **Induced EMF (ε):** - Use Faraday’s law of induction to determine the induced EMF in the loop due to the changing magnetic field.3. **Current (\(I\)):** - Derive the current using Ohm's law, considering the resistance value in the loop circuit.4. **Current Direction:** - At \(t = 0.125 \text{ms}\), determine and indicate the direction of the induced current on the given figure by applying Lenz's

Bartleby has policy to solve only first 3 subparts of a question for sfor solution of rest parts…

B(1) = 42 cos(2710³r) mT. (a) What is the total flux O passing through the loop? (b) What is the induced EMF? (c) What is the current in the loop? (d) Indicate the direction of the current at t =÷x10s = 0.125 ms on the figure below with an arrow and briefly justify your answer. y 0 5 m 500 2

B(1) = 42 cos(2710³r) mT. (a) What is the total flux O passing through the loop? (b) What is the induced EMF? (c) What is the current in the loop? (d) Indicate the direction of the current at t =÷x10s = 0.125 ms on the figure below with an arrow and briefly justify your answer. y 0 5 m 500 2

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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