Chapter 29: Q74P (page 862)

The magnitude of the magnetic field $88.0 cm$ from the axis of a long straight wire is $7.30 μT$ . What is the current in the wire?

Short Answer

Expert verified

The current in the wire is $32.1 A$ .

Step by step solution

Given Data

Distance $R = 88 cm = 0.88 m$
The magnitude of magnetic field $B = 7.30 μT$

Understanding the concept

We use the formula of magnetic field due to a long straight wire at perpendicular distance from the axis to find the current in the wire.

Formula:

$B = \frac{μ_{0} i}{2 πR}$

Calculate the current in the wire

The magnitude of magnetic field due to a long straight wire at perpendicular distance from axis is given by

$B = \frac{μ_{0} i}{2 π R}$

Where $R$ is the distance from the axis of the wire and $μ_{o}$ is the permeability of the free space, $i$ is the current flowing through the wire.

Solving for the current we get

$i = \frac{2 π R B}{μ_{0}}$

localid="1663019175921" $R = 88 c m = 0.88 m, B = 7.30 μ T = 7.30 \times 10^{- 6} T, μ_{0} = 1.26 \times 10^{- 6} T . m / A$

$i = \frac{(2 π) (0.88 m) (7.30 \times 10^{- 6} T)}{4 π \times 10^{- 7} T . m / A}$

$i = 32.1 A$

the current in the wire is $32.1 A$ .

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The magnitude of the magnetic field $88.0 cm$ from the axis of a long straight wire is $7.30 μT$ . What is the current in the wire?

Short Answer

Step by step solution

Given Data

Understanding the concept

Calculate the current in the wire

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The magnitude of the magnetic field 88.0cmfrom the axis of a long straight wire is7.30μT. What is the current in the wire?

Short Answer

Step by step solution

Given Data

Understanding the concept

Calculate the current in the wire

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Oscillations

Fluids

Magnetism

Radiation

Nuclear Physics

Dynamics

Study anywhere. Anytime. Across all devices.

The magnitude of the magnetic field $88.0 cm$ from the axis of a long straight wire is $7.30 μT$ . What is the current in the wire?