The dipole moment of the water molecule (H2O) is 6.17 ×10^-30 C ·m. Consider a water molecule lo

Name: Problem 56, Chapter 21: University Physics with Modern Physics
Uploaded: 2019-12-24T12:27:58-08:00
Duration: 2 min 32 s
Channel: Salamat Ali

step 1 The force exerted by electric dipole is calculated by f is equal to Q times electric field. We c

Question

The dipole moment of the water molecule ($H_2O$) is 6.17 $\times$ $10^{-30}$ C $\cdot$ m. Consider a water molecule located at the origin whose dipole moment $\overrightarrow{p}$ points in the $+x$-direction. A chlorine ion (C1$^-$), of charge $-1.60 \times 10^{-19}$ C, is located at $x =$ 3.00 $\times 10^{-9}$ m. Find the magnitude and direction of the electric force that the water molecule exerts on the chlorine ion. Is this force attractive or repulsive? Assume that $x$ is much larger than the separation $d$ between the charges in the dipole, so that the approximate expression for the electric field along the dipole axis derived in Example 21.14 can be used.

   The dipole moment of the water molecule ($H_2O$) is 6.17 $\times$ $10^{-30}$ C $\cdot$ m. Consider a water molecule located at the origin whose dipole moment $\overrightarrow{p}$ points in the $+x$-direction. A chlorine ion (C1$^-$), of charge $-1.60 \times 10^{-19}$ C, is located at $x =$ 3.00 $\times 10^{-9}$ m. Find the magnitude and direction of the electric force that the water molecule exerts on the chlorine ion. Is this force attractive or repulsive? Assume that $x$ is much larger than the separation $d$ between the charges in the dipole, so that the approximate expression for the electric field along the dipole axis derived in Example 21.14 can be used.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Chapter 21, Problem 56

Instant Answer

Solved by Expert Salamat Ali

12/24/2019

Step 1

Step 1: The force exerted by an electric dipole is given by the equation $F = qE$, where $q$ is the charge experiencing the force and $E$ is the electric field applied by the dipole. Show more…

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The dipole moment of the water molecule ($H_2O$) is 6.17 $\times$ $10^{-30}$ C $\cdot$ m. Consider a water molecule located at the origin whose dipole moment $\overrightarrow{p}$ points in the $+x$-direction. A chlorine ion (C1$^-$), of charge $-1.60 \times 10^{-19}$ C, is located at $x =$ 3.00 $\times 10^{-9}$ m. Find the magnitude and direction of the electric force that the water molecule exerts on the chlorine ion. Is this force attractive or repulsive? Assume that $x$ is much larger than the separation $d$ between the charges in the dipole, so that the approximate expression for the electric field along the dipole axis derived in Example 21.14 can be used.