Two coils that are separated by a distance equal to their radius and that carry equal currents such that their axial fields add are called Helmholtz coils. People in science and industry use coils like this to make regions where the net magnetic fields are relatively uniform (but not perfectly uniform). Let R=0.12 cm, I=22 A, and N=320 turns for each coil. Place one coil in the y-z plane with its center at the origin and the other in a parallel plane at R=0.12 cm. Calculate the resultant field Bx at x1=0.03 cm, x2=0.06 cm, x3=0.08 cm, and x4=0.12 cm.For my answers I got B1 = .00416 T, B2 = .00353 T, B3 = .00306 T, and B4 = .00221 T all of which were wrong. Can you please help me? The image illustrates a diagram with two identical circular loops. The loops are positioned vertically along the y-axis, and their arrangement is symmetric with respect to the x-axis. Key elements in the diagram:- **Loops**: Two ellipses represent the loops, which share the same radius, R. The loops are centered along the y-axis.- **Axes**: The x-axis runs horizontally through the centers of the loops, while the y-axis runs vertically.- **Center and Separation**: The centers of the loops are aligned on the horizontal x-axis, with each loop's center marked by a dot. The horizontal distance between the centers of the two loops is labeled as R.- **Radius**: The vertical radius of each loop from the center to the edge is marked as R.This diagram can be used in educational contexts to explain concepts related to circular loops in physics, such as electromagnetic fields or circuits. The placement along with the labeled radius and separation distance can help illustrate how such concepts can be modeled and analyzed.

Answered: Two coils that are separated by a…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

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Two coils that are separated by a distance equal to their radius and that carry equal currents such that their axial fields add are called Helmholtz coils. People in science and industry use coils like this to make regions where the net magnetic fields are relatively uniform (but not perfectly uniform). Let R=0.12 cm, I=22 A, and N=320 turns for each coil. Place one coil in the y-z plane with its center at the origin and the other in a parallel plane at R=0.12 cm. Calculate the resultant field B_x at x₁=0.03 cm, x₂=0.06 cm, x₃=0.08 cm, and x₄=0.12 cm.

For my answers I got B1 = .00416 T, B2 = .00353 T, B3 = .00306 T, and B4 = .00221 T all of which were wrong. Can you please help me?

The image illustrates a diagram with two identical circular loops. The loops are positioned vertically along the y-axis, and their arrangement is symmetric with respect to the x-axis.

Key elements in the diagram:

- **Loops**: Two ellipses represent the loops, which share the same radius, R. The loops are centered along the y-axis.

- **Axes**: The x-axis runs horizontally through the centers of the loops, while the y-axis runs vertically.

- **Center and Separation**: The centers of the loops are aligned on the horizontal x-axis, with each loop's center marked by a dot. The horizontal distance between the centers of the two loops is labeled as R.

- **Radius**: The vertical radius of each loop from the center to the edge is marked as R.

This diagram can be used in educational contexts to explain concepts related to circular loops in physics, such as electromagnetic fields or circuits. The placement along with the labeled radius and separation distance can help illustrate how such concepts can be modeled and analyzed.

Expert Solution

Step 1

Given coils shown are Helmholtz coils.

we have t find magnetic field at different 'x' values.

Given

R=0.12 cm

I=22 A

N=320 turns

R=0.12 cm= $0.12 \times 10^{- 2} m$ =0.0012 m

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