The electric field between two parallel plates connected to a 40 V battery is 1550 V/m. How far apart are the plates?

(Voltage difference)/(plate separation) = Electric field

(40 V)/(plate separation) = 1550 V/m

Solve for the plate separation in meters

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To find the distance between the plates, we can use the formula for the electric field between two parallel plates:

E = V/d

where E is the electric field strength, V is the voltage, and d is the distance between the plates.

In this case, we are given that the electric field E is 1550 V/m and the voltage V is 40 V. We want to find the distance d.

Rearranging the formula, we have:

d = V/E

Now we can substitute the given values:

d = 40 V / 1550 V/m

Simplifying the units, we have:

d = 40 / 1550 m

Calculating the fraction, we get the distance between the plates:

d ≈ 0.0258 meters or 2.58 centimeters

Therefore, the plates are approximately 0.0258 meters or 2.58 centimeters apart.