Two parallel conducting plates are separated by 10.0 cm, and one of them is taken to be at zero volts.(Membranes are discussed in some detail in Nerve Conduction-Electrocardiograms.) What is the voltage across an 8.00 nm–thick membrane if the electric field strength across it is 5.50 MV/m? You may assume a uniform electric field.

Membrane walls of living cells have surprisingly large electric fields across them due to separation of ions.Membranes are discussed in Capacitors and Dielectrics and Nerve Conduction-Electrocardiograms.) You may assume a uniform electric field. What is the electric field strength? (The value is surprisingly large, but correct.

The voltage across a membrane forming a cell wall is 80.0 mV and the membrane is 9.00 nm thick.

(a) Will the electric field strength between two parallel conducting plates exceed the breakdown strength for air (3.0 × 10 6 V/m) if the plates are separated by 2.00 mm and a potential difference of 5.0 × 10 3 V is applied? (b) How close together can the plates be with this applied voltage?.

How far apart are two conducting plates that have an electric field strength of 4.50× 10 3 V/m between them, if their potential difference is 15.0 kV?.

What is the potential 1.00 cm from that plate (and 3.00 cm from the other)? (a) What is the potential difference between the plates? (b) The plate with the lowest potential is taken to be at zero volts.

The electric field strength between two parallel conducting plates separated by 4.00 cm is 7.50 × 10 4 V/m.

What is the strength of the electric field between two parallel conducting plates separated by 1.00 cm and having a potential difference (voltage) between them of 1.50 × 10 4 V?.

Show that units of V/m and N/C for electric field strength are indeed equivalent.

In equation form, the general relationship between voltage and electric field is The faster V decreases over distance, the greater the electric field. Furthermore, the magnitude of E equals the rate of decrease of V with distance. In more general situations, regardless of whether the electric field is uniform, it points in the direction of decreasing potential, because the force on a positive charge is in the direction of E and also in the direction of lower potential V. This is because the electric field is uniform between the plates.

The force on the charge is the same no matter where the charge is located between the plates. Note that the units are newtons, since 1 V/m = 1 N/C. The magnitude of the force on a charge in an electric field is obtained from the equation F = qE.į = (0.500 × 10 −6 C)(6.25 × 10 5 V/m) = 0.313 N.

Uniform electric field