Which answer below is closest to the ratio of the power line B⃗ field on the ground 50 m below a

step 1 This question is asking us about magnetic field produced by a power line. So it makes me think o

Which answer below is closest to the ratio of the power line...

Which answer below is closest to the ratio of the power line $\vec{B}$ field on the ground 50 $\mathrm{m}$ below a 100 -A current and Earth's $\vec{B}$ field at the same location? $\begin{array}{llll}{\text { (a) } 0.001} & {\text { (b) } 0.01} & {\text { (c) } 0.1} & {\text { (d) } 10} & {\text { (e) } 100}\end{array}$

Which answer below is closest to the ratio of the power line $\vec{B}$ field on the ground 50 $\mathrm{m}$ below a 100 -A current and Earth's $\vec{B}$ field at the same location?
$\begin{array}{llll}{\text { (a) } 0.001} & {\text { (b) } 0.01} & {\text { (c) } 0.1} & {\text { (d) } 10} & {\text { (e) } 100}\end{array}$

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Key Concepts

Magnetic Field from a Long Straight Conductor

This concept concerns how a steady current in a long, straight wire produces a magnetic field around it. Using Ampere's Law or the Biot–Savart Law, the field can be calculated using the formula B = ??I/(2?r), where the field strength decreases inversely with the distance from the wire. This principle provides the means to estimate the magnetic field due to electrical currents such as those in power lines.

Earth's Magnetic Field

Earth's magnetic field is the geomagnetic field generated by the motion of molten iron alloys in its outer core. It typically has a magnitude on the order of tens of microteslas near the Earth's surface. This natural magnetic field serves as a benchmark for comparing other artificial or induced magnetic fields.

Order of Magnitude Estimation

Order of magnitude estimation is a problem-solving strategy that involves approximating the size of a quantity to its nearest power of ten. This concept allows one to quickly compare different physical quantities—such as the magnetic field from a power line and the Earth's magnetic field—by focusing on their approximate scales rather than precise values.

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