Question

The electric field strength between the plates of a simple air Capacitor is equal to the voltage across the plates divided by the distance between them. When a voltage of 112 V is put across the plates of such a capacitor an electric field strength of 1.1 kV/cm is measured. Write an equation that will let you calculate the distance d between the plates. Your equation should contain only symbols. Be sure you define each symbol

Answer 1

`d=(V)/(E)`

Step-by-step explanation:

The electric field strength between the plates of a parallel plate capacitor is given by:

`E=(V)/(d)`

where

V is the potential difference

d is the distance between the plates

If we re-arrange the formula, we find a new equation that lets us calculate d:

`d=(V)/(E)`

We can at this point substitute the values:

V = 112 V

E = 1.1 kV/cm = 1100 V/cm = 110,000 V/m

To find the distance:

`d=(112 V)/(110,000 V/m)=1.02\cdot 10^(-3) m`