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Chapter 17: 3Q (page 707)

An How does the magnetic field of a moving point charge fall off with distance at a given angle: like 1r , 1r2 or 1r3 ?

Short Answer

Expert verified

The magnetic field of a moving point charge fall off with distance at a given angle is1r2 .

Step by step solution

01

Significance of magnetic field due to a point charge

Whenever a point charge moves at a specific speed, then there would be a magnetic field set up around the point charge. The relation between the magnetic field and the distance from the point charge is an inverse one.

02

Determination the magnetic field of a moving point charge

The expression of magnetic field due to a point charge is expressed as,

B鈫�=渭04蟺q脳r^r2鈭�1r2

Here, B鈫�is the magnetic field of a moving point charge, rrepresents the distance from the origin and 渭0 represents the vacuum permeability.

Thus, the magnetic field of a moving point charge fall off with distance at a given angle is 1r2.

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Most popular questions from this chapter

A straight wire of length 0.62 m carries a conventional current of 0.8 A. What is the magnitude of the magnetic field made by the current at a location that is a perpendicular distance 2.9cm from the center of the wire? Use both the exact equation and the approximate equation to calculate the field.

What is the magnetic dipole moment of a 3000-turns rectangular coil that measures 3cmby 5cm and carries a current of 2A ?

In a circuit consisting of a long bulb and two flashlight batteries in series the conventional current is about 0.1 A. What is the magnetic field 5 mm from the wire? (This is about how far away the compass needle is when you place the Wire on top Of the compass) Is this a big or a small field?

You have used copper wires in your circuits. Let鈥檚 calculate the mobile electron density n for copper. A mole of copper has a mass of 64g (0.064kg), and one mobile electron is released by each atom in metallic copper. The density of copper is about 9g/cm3or(9脳103kg/m3). Show that the number of mobile electrons per cubic meter in copper is 8.4脳1028m-3.

The electron mobility in copper is 4.5脳10-3(m/s)/(N/C), and the density of mobile electrons is8.4脳10-28m-3 . In a copper wire 1mm in diameter there is an electric field whose magnitude is 0.05N/C. What is the conventional current in this wire? (Note that a small electric field drives a sizable current in copper, which is a good conductor.)
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