Two parallel conducting plates are separated by 9.2 cm, and one of them is taken to be at a potential of zero volts.What is the electric field strength between them in V/m, if the potential 8.8 cm from the zero volt plate is 475 V? What is the voltage between the plates in V?

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AMB000

Answer:

[tex]E=54V/cm[/tex]

[tex]\Delta V=496.8V[/tex] between the plates.

Explanation:

The equation for change of voltage between two points separated a distance d inside parallel conducting plates (which have between them constant electric field) is:

[tex]\Delta V=Ed[/tex]

So to calculate our electric field strength we use the fact that the potential 8.8 cm from the zero volt plate is 475 V:

[tex]E=\frac{\Delta V}{d}=\frac{475 V}{8.8cm}=54V/cm[/tex]

And we use the fact that the plates are 9.2cm apart to calculate the voltage between them:

[tex]\Delta V=Ed=(54V/cm)(9.2cm)=496.8V[/tex]