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Chapter 4: Q38E (page 779)

Electrical Sensitivity of Sharks. Certain sharks can detect an electric field as weak as 1.0渭V/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脳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脳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脳10-6V/m=1.5脳106m

Thus, the plates must be 1.5脳106mapart.

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Most popular questions from this chapter

Two copper wires with different diameter are joined end to end. If a current flow in the wire combination, what happens to electrons when they move from the large diameter wire into the smaller diameter wire? Does their drift speed increase, decrease, or stay the same? If the drift speed change, what is the role the force that causes the change? Explain your reasoning.

We have seen that a coulomb is an enormous amount of charge; it is virtually impossible to place a charge of 1 C on an object. Yet, a current of 10A,10C/sis quite reasonable. Explain this apparent discrepancy.

An electrical conductor designed to carry large currents has a circular cross section 2.50 mm in diameter and is 14.0 m long. The resistance between its ends is 0.104惟. (a) What is the resistivity of the material? (b) If the electric-field magnitude in the conductor is 1.28 V/m, what is the total current? (c) If the material has 8.5脳1028free electrons per cubic meter, find the average drift speed under the conditions of part (b).


An electron at pointAinFig. E27.15has a speedv0of1.41脳106m/sFind (a) the magnitude and direction of the magnetic field that will cause the electron to follow the semicircular path fromAtoB, and (b) the time required for the electron to move fromAtoB.

In the circuit in Fig. E25.47, find (a) the rate of conversion of internal (chemical) energy to electrical energy within the battery; (b) the rate of dissipation of electrical energy in the battery; (c) the rate of dissipation of electrical energy in the external resistor.
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