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The figure below shows two wires carrying currents of I= 4.95 A in opposite directions, separated by a distance d. Assume d = 8.0 cm. direction ( (a) Find the magnitude (in µT) and direction of the net magnetic field at a point halfway between the wires. x magnitude 95 What is the magnitude of the magnetic field of a long, straight wire? From the right-hand rule, what is direction of the field? Find the vector magnetic field due to each wire at the point of interest, then add the two as vectors to find the net field. T into the page 2d direction 14 (b) Find the magnitude (in µT) and direction of the net magnetic field at point P₁, 8.0 cm to the right of the wire on the right. magnitude direction 1.2 x What is the magnitude of the magnetic field of a long, straight wire? From the right-hand rule, what is direction of the field? Find the vector magnetic field due to each wire out of the page (c) Find the magnitude (in µT) and direction of the net magnetic field at point P₂. 2d = 16.0 cm to the left of the wire on the left. magnitude 4.0 x What is the magnitude of the magnetic field of a long, straight wire? From the right-hand rule, what is direction of the field? Find the vector magnetic field due each wire out of the page the point of interest, then add the two as vectors to find the net field. T the point of interest, then add the two as vectors to find the net field. pT

The figure below shows two wires carrying currents of I= 4.95 A in opposite directions, separated by a distance d. Assume d = 8.0 cm. direction ( (a) Find the magnitude (in µT) and direction of the net magnetic field at a point halfway between the wires. x magnitude 95 What is the magnitude of the magnetic field of a long, straight wire? From the right-hand rule, what is direction of the field? Find the vector magnetic field due to each wire at the point of interest, then add the two as vectors to find the net field. T into the page 2d direction 14 (b) Find the magnitude (in µT) and direction of the net magnetic field at point P₁, 8.0 cm to the right of the wire on the right. magnitude direction 1.2 x What is the magnitude of the magnetic field of a long, straight wire? From the right-hand rule, what is direction of the field? Find the vector magnetic field due to each wire out of the page (c) Find the magnitude (in µT) and direction of the net magnetic field at point P₂. 2d = 16.0 cm to the left of the wire on the left. magnitude 4.0 x What is the magnitude of the magnetic field of a long, straight wire? From the right-hand rule, what is direction of the field? Find the vector magnetic field due each wire out of the page the point of interest, then add the two as vectors to find the net field. T the point of interest, then add the two as vectors to find the net field. pT

College Physics
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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**Educational Resource: Magnetic Fields of Parallel Wires** **Figure Description:** The figure illustrates two wires carrying currents of \( I = 4.95 \, \text{A} \) in opposite directions. The wires are separated by a distance \( d \), which is assumed to be 8.0 cm. The wires are labeled, with one on the left and one on the right. There are three points of interest labeled \( P_1 \), \( P_2 \), and a point halfway between the wires, positioned perpendicular to the wires. --- **Problem Analysis:** **(a)** Find the magnitude (in \(\mu \text{T}\)) and direction of the net magnetic field at a point halfway between the wires. - **Magnitude:** 95 \(\mu \text{T}\) (incorrect calculation) - **Direction:** Into the page (verified correct) **Instruction:** Use the right-hand rule to determine the direction. The vector magnetic fields from each wire at the point should be calculated and combined to find the net field. --- **(b)** Find the magnitude (in \(\mu \text{T}\)) and direction of the net magnetic field at point \( P_1 \), 8.0 cm to the right of the wire on the right. - **Magnitude:** 1.2 \(\mu \text{T}\) (incorrect calculation) - **Direction:** Out of the page (verified correct) --- **(c)** Find the magnitude (in \(\mu \text{T}\)) and direction of the net magnetic field at point \( P_2 \), \( 2d = 16.0 \) cm to the left of the wire on the left. - **Magnitude:** 4.0 \(\mu \text{T}\) (incorrect calculation) - **Direction:** Out of the page (verified correct) --- **(d)** What If? Repeat parts (a) through (c) assuming both wires carry currents in the same direction, upward in the figure. 1. **Net Magnetic Field at Halfway Point:** - **Magnitude:** \(0\) \(\mu \text{T}\) (correct) - **Direction:** No direction (fields cancel each other) 2. **Net Magnetic Field at \( P_1 \), 8.0 cm to the right of the wire on the right:** - **Magnitude
Transcribed Image Text:**Educational Resource: Magnetic Fields of Parallel Wires** **Figure Description:** The figure illustrates two wires carrying currents of \( I = 4.95 \, \text{A} \) in opposite directions. The wires are separated by a distance \( d \), which is assumed to be 8.0 cm. The wires are labeled, with one on the left and one on the right. There are three points of interest labeled \( P_1 \), \( P_2 \), and a point halfway between the wires, positioned perpendicular to the wires. --- **Problem Analysis:** **(a)** Find the magnitude (in \(\mu \text{T}\)) and direction of the net magnetic field at a point halfway between the wires. - **Magnitude:** 95 \(\mu \text{T}\) (incorrect calculation) - **Direction:** Into the page (verified correct) **Instruction:** Use the right-hand rule to determine the direction. The vector magnetic fields from each wire at the point should be calculated and combined to find the net field. --- **(b)** Find the magnitude (in \(\mu \text{T}\)) and direction of the net magnetic field at point \( P_1 \), 8.0 cm to the right of the wire on the right. - **Magnitude:** 1.2 \(\mu \text{T}\) (incorrect calculation) - **Direction:** Out of the page (verified correct) --- **(c)** Find the magnitude (in \(\mu \text{T}\)) and direction of the net magnetic field at point \( P_2 \), \( 2d = 16.0 \) cm to the left of the wire on the left. - **Magnitude:** 4.0 \(\mu \text{T}\) (incorrect calculation) - **Direction:** Out of the page (verified correct) --- **(d)** What If? Repeat parts (a) through (c) assuming both wires carry currents in the same direction, upward in the figure. 1. **Net Magnetic Field at Halfway Point:** - **Magnitude:** \(0\) \(\mu \text{T}\) (correct) - **Direction:** No direction (fields cancel each other) 2. **Net Magnetic Field at \( P_1 \), 8.0 cm to the right of the wire on the right:** - **Magnitude
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