Chapter 23: Q. 34 - Excercises And Problems (page 654)

An ammonia molecule $N H_{3}$ has a permanent electric dipole moment $5.0 \times 10^{30} C m$ . A proton is $2.0 n m$ from the molecule in the plane that bisects the dipole. What is the electric force of the molecule on the proton?

Short Answer

Expert verified

The molecule proton on electric force is $E = 5.625 \times 10^{6} N / C .$

Step by step solution

Step: 1 Electric field:

The energy generated by a given positive ion put at a location in the field is related to the intensity of the electric field at that point.

The fundamental expression is as follows:

$E = \frac{F}{q}$

Step: 2 Electric dipole:

The electric dipole in field as

$E = \frac{p}{4 π ε_{0} r^{3}}$

The dipole moment is $p$ , the distance between the dipole and the charge is $r$ , and the permittivity of empty space is $ε_{0}$ .

Step: 3 Substituting:

Putting values in above equation,we get

$E = \frac{p}{4 π ε_{0} r^{3}}$

role="math" localid="1651406439589" $E = (9 \times 10^{9} C^{2} / N \cdot m^{2}) \frac{5.0 \times 10^{- 30} Cm}{{(2.0 \times 10^{- 9} m)}^{3}}$

$E = 5.625 \times 10^{6} N / C .$

Step: 4 Finding force:

The electric force of a molecular on a proton is computed using the induced electromagnetic and force relationship.

The equation as

$E = \frac{F}{q}$

$\begin{array}{l} F = E q \\ F = (5.625 \times 10^{6} N / C) (1.6 \times 10^{- 19} C) \\ F = 9 \times 10^{- 13} N \end{array}$

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An ammonia molecule $N H_{3}$ has a permanent electric dipole moment $5.0 \times 10^{30} C m$ . A proton is $2.0 n m$ from the molecule in the plane that bisects the dipole. What is the electric force of the molecule on the proton?

Short Answer

Step by step solution

Step: 1 Electric field:

Step: 2 Electric dipole:

Step: 3 Substituting:

Step: 4 Finding force:

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An ammonia moleculeNH3 has a permanent electric dipole moment5.0×1030Cm. A proton is 2.0nm from the molecule in the plane that bisects the dipole. What is the electric force of the molecule on the proton?

Short Answer

Step by step solution

Step: 1 Electric field:

Step: 2 Electric dipole:

Step: 3 Substituting:

Step: 4 Finding force:

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Force

Kinematics Physics

Mechanics and Materials

Solid State Physics

Engineering Physics

Nuclear Physics

Study anywhere. Anytime. Across all devices.

An ammonia molecule $N H_{3}$ has a permanent electric dipole moment $5.0 \times 10^{30} C m$ . A proton is $2.0 n m$ from the molecule in the plane that bisects the dipole. What is the electric force of the molecule on the proton?