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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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