### Magnetic Field Due to a Current-Carrying WireA long, straight wire perpendicular to this page carries a current of **4.61 A** directed into the page. Find the magnetic field at the following points, all **10.2 cm** from the wire.#### (a) 10.2 cm to the left of the wire- **Magnitude:** [Text Box]- **Direction:** [Dropdown Menu]#### (b) 10.2 cm directly below the wire- **Magnitude:** [Text Box]- **Direction:** [Dropdown Menu]#### (c) 10.2 cm to the right of the wire- **Magnitude:** [Text Box]- **Direction:** [Dropdown Menu]#### (d) 10.2 cm directly above the wire- **Magnitude:** [Text Box]- **Direction:** [Dropdown Menu]### Explanation of Magnetic Field DirectionThe magnetic field around a current-carrying wire follows the right-hand rule. When the thumb of the right hand points in the direction of the current, the fingers curled around the wire point in the direction of the magnetic field: - **Into the page:** Use the right-hand rule. - Points to the left of the wire: Magnetic field points into/out of the page. - Points below the wire: Magnetic field points into/out of the page. - Points to the right of the wire: Magnetic field points into/out of the page. - Points above the wire: Magnetic field points into/out of the page.Calculate the magnitude using Biot-Savart Law or its simplified version for a long straight wire:\[ B = \frac{\mu_0 I}{2 \pi r} \]where:- \( \mu_0 \) is the permeability of free space (\( 4 \pi \times 10^{-7} \) T m/A),- \( I \) is the current,- \( r \) is the distance from the wire.

Since the distance in all cases is the same, the magnitude of the magnetic fields will also be the…

A long, straight wire perpendicular to this page carries a current of 4.61 A directed into the page. Find the magnetic field at the following points, all 10.2 cm from the wire. (a) 10.2 cm to the left of the wire magnitude direction ---Select-- C (b) 10.2 cm directly below the wire magnitude direction ---Select-- C (c) 10.2 cm to the right of the wire magnitude direction --Select-- C (d) 10.2 cm directly above the wire magnitude direction ---Select--- C

A long, straight wire perpendicular to this page carries a current of 4.61 A directed into the page. Find the magnetic field at the following points, all 10.2 cm from the wire. (a) 10.2 cm to the left of the wire magnitude direction ---Select-- C (b) 10.2 cm directly below the wire magnitude direction ---Select-- C (c) 10.2 cm to the right of the wire magnitude direction --Select-- C (d) 10.2 cm directly above the wire magnitude direction ---Select--- C

Inquiry into Physics

8th Edition

ISBN:9781337515863

Author:Ostdiek

Publisher:Ostdiek

Chapter8: Electromagnetism And Em Waves

Section: Chapter Questions

Problem 4C: The right-hand rule is a way to determine the direction of the magnetic field produced by moving...

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Concept explainers

Magnetic Field Of Coaxial Cable

The word coaxial means same axis. So for a long straight cable to be coaxial, it must have concentric cylindrical shaped conductor around it. Coaxial cable (popularly called ‘coax’) has various applications ranging from current conductors to radiofrequency signal transmitters. This cable has lower emission losses and provides protection from electromagnetic interference which allows signals with less power to transmit over longer distances.For example, currents produced in the pickup of a stereo turntable generally travel to the amplifier through a coaxial cable.The self-inductance of a coaxial cable is another important characteristic, because it influences the propagation of electrical signals in the cable.

Question

### Magnetic Field Due to a Current-Carrying Wire

A long, straight wire perpendicular to this page carries a current of **4.61 A** directed into the page. Find the magnetic field at the following points, all **10.2 cm** from the wire.

#### (a) 10.2 cm to the left of the wire
- **Magnitude:** [Text Box]
- **Direction:** [Dropdown Menu]

#### (b) 10.2 cm directly below the wire
- **Magnitude:** [Text Box]
- **Direction:** [Dropdown Menu]

#### (c) 10.2 cm to the right of the wire
- **Magnitude:** [Text Box]
- **Direction:** [Dropdown Menu]

#### (d) 10.2 cm directly above the wire
- **Magnitude:** [Text Box]
- **Direction:** [Dropdown Menu]

### Explanation of Magnetic Field Direction
The magnetic field around a current-carrying wire follows the right-hand rule. When the thumb of the right hand points in the direction of the current, the fingers curled around the wire point in the direction of the magnetic field:

- **Into the page:** Use the right-hand rule.
- Points to the left of the wire: Magnetic field points into/out of the page.
- Points below the wire: Magnetic field points into/out of the page.
- Points to the right of the wire: Magnetic field points into/out of the page.
- Points above the wire: Magnetic field points into/out of the page.

Calculate the magnitude using Biot-Savart Law or its simplified version for a long straight wire:
\[ B = \frac{\mu_0 I}{2 \pi r} \]
where:
- \( \mu_0 \) is the permeability of free space (\( 4 \pi \times 10^{-7} \) T m/A),
- \( I \) is the current,
- \( r \) is the distance from the wire.

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