Electric Field between Parallel Plates (Edexcel International A Level Physics)
Revision Note
Electric Field between Parallel Plates
The magnitude of the electric field strength in a uniform field between two charged parallel plates is defined as:
Where:
E = electric field strength (V m-1)
V = potential difference between the plates (V)
d = separation between the plates (m)
The electric field strength is now defined by the units V m–1
Therefore, the units V m–1 are equivalent to the units N C–1
The equation shows:
The greater the voltage (potential difference) between the plates, the stronger the field
The greater the separation between the plates, the weaker the field
Remember this equation cannot be used to find the electric field strength around a point charge (since this would be a radial field)
The direction of the electric field is from the plate connected to the positive terminal of the cell to the plate connected to the negative terminal
The E field strength between two charged parallel plates is the ratio of the potential difference and separation of the plates
Note: if one of the parallel plates is earthed, it has a voltage of 0 V
Worked Example
Two parallel metal plates are separated by 3.5 cm and have a potential difference of 7.9 kV.
Calculate the electric force acting on a stationary charged particle between the plates that has a charge of 2.6 × 10-15 C.
Answer:
Step 1: Write down the known values
Potential difference, V = 7.9 kV = 7.9 × 103 V
Distance between plates, d = 3.5 cm = 3.5 × 10-2 m
Charge, Q = 2.6 × 10-15 C
Step 2: Calculate the electric field strength between the parallel plates
Step 3: Write out the equation for electric force on a charged particle
F = QE
Step 4: Substitute electric field strength and charge into electric force equation
F = QE = (2.6 × 10-15) × (2.257 × 105) = 5.87 × 10-10 N = 5.9 × 10-10 N (2 s.f.)
Examiner Tips and Tricks
Remember the equation for electric field strength with V and d is only used for parallel plates, and not for point charges (where you would use E = F/Q)
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