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Ch 23: The Electric Field
Knight Calc - Physics for Scientists and Engineers 5th Edition
Knight Calc5th EditionPhysics for Scientists and EngineersISBN: 9780137344796Non è quello che usi tu?Cambia libro di testo
Tutti i libri di testoKnight Calc 5th EditionCh 23: The Electric FieldProblema 5a
Capitolo 23, Problema 5a

The electric field strength 1.5 cm from an electric dipole, on the axis of the dipole, is 1.5×105 N/C. What is the dipole moment in nC mm?

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Understand the problem: The electric field strength due to a dipole on its axis is given, and we need to calculate the dipole moment. The formula for the electric field on the axis of a dipole is: E = 2kpr3, where E is the electric field, k is Coulomb's constant, p is the dipole moment, and r is the distance from the dipole center.
Rearrange the formula to solve for the dipole moment p: p = Er32k. This will allow us to calculate the dipole moment once we substitute the known values.
Substitute the given values into the formula: The electric field strength is 1.5×105 N/C, the distance r is 1.5 cm (convert to meters: 0.015 m), and Coulomb's constant k is approximately 8.99×109 N·m²/C².
Perform the unit conversion for the dipole moment: The dipole moment p will initially be in units of C·m. To convert to nC·mm, multiply the result by 109 (to convert C to nC) and by 1000 (to convert m to mm).
After substituting and simplifying, you will have the dipole moment in nC·mm. Ensure all calculations are consistent with the units and verify the result.

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Electric Dipole

An electric dipole consists of two equal and opposite charges separated by a distance. It is characterized by its dipole moment, which is a vector quantity pointing from the negative charge to the positive charge. The dipole moment (p) is defined as the product of the charge (q) and the separation distance (d), given by p = q × d.
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Percorso guidato
03:08
Intro To Dipole Moment

Electric Field Strength

Electric field strength (E) is a measure of the force experienced by a unit positive charge placed in an electric field. It is expressed in newtons per coulomb (N/C). For an electric dipole, the electric field strength at a point along the axis can be calculated using the formula E = (1/(4πε₀)) * (2p/r³), where p is the dipole moment and r is the distance from the dipole.
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Percorso guidato
03:16
Intro to Electric Fields

Dipole Moment Calculation

To find the dipole moment from the electric field strength, one can rearrange the formula for electric field due to a dipole. Given the electric field strength and the distance from the dipole, the dipole moment can be calculated as p = (E * 4πε₀ * r³) / 2. The result is often expressed in nanocoulomb millimeters (nC mm) for practical applications.
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Percorso guidato
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Intro To Dipole Moment
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Domanda del libro di testo

The electric field strength 1.5 cm from an electric dipole, on the axis of the dipole, is 1.5×105 N/C. If the dipole is replaced by a single charge, what magnitude charge in nC will give the same field strength 1.5 cm away?

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What are the strength and direction of the electric field at the position indicated by the dot in FIGURE EX23.3? Specify the direction as an angle cw from horizontal.

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An electric dipole is formed from two charges, ±q, spaced 1.0 cm apart. The dipole is at the origin, oriented along the y-axis. The electric field strength at the point (x, y)=(0 cm, 10 cm) is 360 N/C. What is the charge q? Give your answer in nC.

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Domanda del libro di testo

An electret is similar to a magnet, but rather than being permanently magnetized, it has a permanent electric dipole moment. Suppose a small electret with electric dipole moment 1.0×10−7 C m is 25 cm from a small ball charged to +25 nC, with the ball on the axis of the electric dipole. What is the magnitude of the electric force on the ball?

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