Question

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?

Answer 1

`E=54V/cm`

`\Delta V=496.8V` between the plates.

Step-by-step 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:

`\Delta V=Ed`

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:

`E=(\Delta V)/(d)=(475 V)/(8.8cm)=54V/cm`

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

`\Delta V=Ed=(54V/cm)(9.2cm)=496.8V`