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Chapter 4: Q38E (page 779)

Electrical Sensitivity of Sharks. Certain sharks can detect an electric field as weak as 1.0μV/m. To grasp how weak this field is, if you wanted to produce it between two parallel metal plates by connecting an ordinary 1.5-V AA battery across these metal plates, how far apart would the plates have to be?

Short Answer

Expert verified

The plates must be 1.5×106mapart.

Step by step solution

01

Formula for the potential difference between two plates

The formula for the potential difference between two plates which are at points a and b, can be written as:

Vab=Ed

Where E=Electric field that is applied on plates, and d=separation between two plate

02

Determine the distance between the plates

Given data:

  • Vab=1.5V
  • E=1×10-6V/m

The potential difference between two plates is given by,

Vab=Ed

Plug the values, and distance can be calculated as:

d=VabE=1.5V1×10-6V/m=1.5×106m

Thus, the plates must be 1.5×106mapart.

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