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The permanent electric dipole moment of the water molecule H2O is 6.2×10-30Cm. What is the maximum possible torque on a water molecule in a 5.0×108N/Celectric field?

Short Answer

Expert verified

Therefore, the value of the maximum possible torque (τ)acting on the water molecule when it is placed in the electric field is 3.1×10-21N·m.

Step by step solution

01

 Introduction

On a dipole, the electric field produces a torque as follows:

τ=pEsinθ

The torque is r,

The dipole moment is p,

The electric field is E,

The angle between the dipole and electric field direction is θ.

02

Step2  Explanation

Calculate the highest possible torque (τ)operating on the water molecule when it is placed in an electric field using the following formula:

τ=pEsinθ

When pis perpendicular to E, the torque is greatest, which means the angle between the dipole moment (p)and the electric field strength (E)is 90.0°

Substitute 6.2×10-30C·mfor p,5.0×108N/Cfor E, and 90.0°for θin the above equation.

τ=6.2×10-30C·m5.0×108N/Csin90°

=3.1×10-21N·m

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Most popular questions from this chapter

The ozone molecule O3 has a permanent dipole moment of 11.8×10-30Cm. Although the molecule is very slightly bent— which is why it has a dipole moment—it can be modeled as a uniform rod of length 2.5×10-10m with the dipole moment perpendicular to the axis of the rod. Suppose an ozone molecule is in a 5000N/C uniform electric field. In equilibrium, the dipole moment is aligned with the electric field. But if the molecule is rotated by a small angle and released, it will oscillate back and forth in simple harmonic motion. What is the frequency f of oscillation?

A sphere of radius Rand surface charge density ηis positioned with its center distance 2R from an infinite plane with surface charge density η. At what distance from the plane, along a line toward the center of the sphere, is the electric field zero?

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A problem of practical interest is to make a beam of electrons turn a 90°corner. This can be done with the parallel-plate capacitor shown in FIGURE. An electron with kinetic energy 3.0×10-17Jenters through a small hole in the bottom plate of the capacitor.

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Hint: The difficulty of this problem depends on how you choose your coordinate system.

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