The formula to calculate the Capacitance of a Parallel Plate Capacitor given its relative permittivity, area of plates, and distance between plates is:
Capacitance=Relative Permittivity⋅Permittivity of Vacuum⋅Area of PlatesDistance between Plates
The Parallel Plate Capacitance is the ability of a system of two parallel plates to store electric charge, commonly used in electronic devices and circuits. The Relative Permittivity is a measure of the ability of a material to store electric charge and is a critical parameter in electrostatics. The Area of Plates is the total surface area of the plates in an electrostatic system, which affects the capacitance and electrostatic energy. The Distance between Deflecting Plates is the separation between two plates in an electrostatic setup, used to measure the deflection of charged particles.
Let's assume the following values:
Using the formula:
Capacitance=4.5⋅8.85E−12⋅1300000.000287≈0.0180392farads
The Capacitance is approximately 0.0180392 farads.
| Relative Permittivity | Area of Plates (square meters) | Distance between Plates (meters) | Capacitance (farads) |
|---|---|---|---|
| 4 | 120000 | 0.00025 | 0.016992000000000 |
| 4 | 120000 | 0.00026 | 0.016338461538462 |
| 4 | 120000 | 0.00027 | 0.015733333333333 |
| 4 | 120000 | 0.00028 | 0.015171428571429 |
| 4 | 120000 | 0.00029 | 0.014648275862069 |
| 4 | 125000 | 0.00025 | 0.017700000000000 |
| 4 | 125000 | 0.00026 | 0.017019230769231 |
| 4 | 125000 | 0.00027 | 0.016388888888889 |
| 4 | 125000 | 0.00028 | 0.015803571428571 |
| 4 | 125000 | 0.00029 | 0.015258620689655 |
| 4 | 130000 | 0.00025 | 0.018408000000000 |
| 4 | 130000 | 0.00026 | 0.017700000000000 |
| 4 | 130000 | 0.00027 | 0.017044444444444 |
| 4 | 130000 | 0.00028 | 0.016435714285714 |
| 4 | 130000 | 0.00029 | 0.015868965517241 |
| 4 | 135000 | 0.00025 | 0.019116000000000 |
| 4 | 135000 | 0.00026 | 0.018380769230769 |
| 4 | 135000 | 0.00027 | 0.017700000000000 |
| 4 | 135000 | 0.00028 | 0.017067857142857 |
| 4 | 135000 | 0.00029 | 0.016479310344828 |
| 4 | 140000 | 0.00025 | 0.019824000000000 |
| 4 | 140000 | 0.00026 | 0.019061538461539 |
| 4 | 140000 | 0.00027 | 0.018355555555556 |
| 4 | 140000 | 0.00028 | 0.017700000000000 |
| 4 | 140000 | 0.00029 | 0.017089655172414 |
| 4.1 | 120000 | 0.00025 | 0.017416800000000 |
| 4.1 | 120000 | 0.00026 | 0.016746923076923 |
| 4.1 | 120000 | 0.00027 | 0.016126666666667 |
| 4.1 | 120000 | 0.00028 | 0.015550714285714 |
| 4.1 | 120000 | 0.00029 | 0.015014482758621 |
| 4.1 | 125000 | 0.00025 | 0.018142500000000 |
| 4.1 | 125000 | 0.00026 | 0.017444711538462 |
| 4.1 | 125000 | 0.00027 | 0.016798611111111 |
| 4.1 | 125000 | 0.00028 | 0.016198660714286 |
| 4.1 | 125000 | 0.00029 | 0.015640086206897 |
| 4.1 | 130000 | 0.00025 | 0.018868200000000 |
| 4.1 | 130000 | 0.00026 | 0.018142500000000 |
| 4.1 | 130000 | 0.00027 | 0.017470555555556 |
| 4.1 | 130000 | 0.00028 | 0.016846607142857 |
| 4.1 | 130000 | 0.00029 | 0.016265689655172 |
| 4.1 | 135000 | 0.00025 | 0.019593900000000 |
| 4.1 | 135000 | 0.00026 | 0.018840288461539 |
| 4.1 | 135000 | 0.00027 | 0.018142500000000 |
| 4.1 | 135000 | 0.00028 | 0.017494553571429 |
| 4.1 | 135000 | 0.00029 | 0.016891293103448 |
| 4.1 | 140000 | 0.00025 | 0.020319600000000 |
| 4.1 | 140000 | 0.00026 | 0.019538076923077 |
| 4.1 | 140000 | 0.00027 | 0.018814444444444 |
| 4.1 | 140000 | 0.00028 | 0.018142500000000 |
| 4.1 | 140000 | 0.00029 | 0.017516896551724 |
| 4.2 | 120000 | 0.00025 | 0.017841600000000 |
| 4.2 | 120000 | 0.00026 | 0.017155384615385 |
| 4.2 | 120000 | 0.00027 | 0.016520000000000 |
| 4.2 | 120000 | 0.00028 | 0.015930000000000 |
| 4.2 | 120000 | 0.00029 | 0.015380689655172 |
| 4.2 | 125000 | 0.00025 | 0.018585000000000 |
| 4.2 | 125000 | 0.00026 | 0.017870192307692 |
| 4.2 | 125000 | 0.00027 | 0.017208333333333 |
| 4.2 | 125000 | 0.00028 | 0.016593750000000 |
| 4.2 | 125000 | 0.00029 | 0.016021551724138 |
| 4.2 | 130000 | 0.00025 | 0.019328400000000 |
| 4.2 | 130000 | 0.00026 | 0.018585000000000 |
| 4.2 | 130000 | 0.00027 | 0.017896666666667 |
| 4.2 | 130000 | 0.00028 | 0.017257500000000 |
| 4.2 | 130000 | 0.00029 | 0.016662413793103 |
| 4.2 | 135000 | 0.00025 | 0.020071800000000 |
| 4.2 | 135000 | 0.00026 | 0.019299807692308 |
| 4.2 | 135000 | 0.00027 | 0.018585000000000 |
| 4.2 | 135000 | 0.00028 | 0.017921250000000 |
| 4.2 | 135000 | 0.00029 | 0.017303275862069 |
| 4.2 | 140000 | 0.00025 | 0.020815200000000 |
| 4.2 | 140000 | 0.00026 | 0.020014615384615 |
| 4.2 | 140000 | 0.00027 | 0.019273333333333 |
| 4.2 | 140000 | 0.00028 | 0.018585000000000 |
| 4.2 | 140000 | 0.00029 | 0.017944137931035 |
| 4.3 | 120000 | 0.00025 | 0.018266400000000 |
| 4.3 | 120000 | 0.00026 | 0.017563846153846 |
| 4.3 | 120000 | 0.00027 | 0.016913333333333 |
| 4.3 | 120000 | 0.00028 | 0.016309285714286 |
| 4.3 | 120000 | 0.00029 | 0.015746896551724 |
| 4.3 | 125000 | 0.00025 | 0.019027500000000 |
| 4.3 | 125000 | 0.00026 | 0.018295673076923 |
| 4.3 | 125000 | 0.00027 | 0.017618055555556 |
| 4.3 | 125000 | 0.00028 | 0.016988839285714 |
| 4.3 | 125000 | 0.00029 | 0.016403017241379 |
| 4.3 | 130000 | 0.00025 | 0.019788600000000 |
| 4.3 | 130000 | 0.00026 | 0.019027500000000 |
| 4.3 | 130000 | 0.00027 | 0.018322777777778 |
| 4.3 | 130000 | 0.00028 | 0.017668392857143 |
| 4.3 | 130000 | 0.00029 | 0.017059137931035 |
| 4.3 | 135000 | 0.00025 | 0.020549700000000 |
| 4.3 | 135000 | 0.00026 | 0.019759326923077 |
| 4.3 | 135000 | 0.00027 | 0.019027500000000 |
| 4.3 | 135000 | 0.00028 | 0.018347946428571 |
| 4.3 | 135000 | 0.00029 | 0.017715258620690 |
| 4.3 | 140000 | 0.00025 | 0.021310800000000 |
| 4.3 | 140000 | 0.00026 | 0.020491153846154 |
| 4.3 | 140000 | 0.00027 | 0.019732222222222 |
| 4.3 | 140000 | 0.00028 | 0.019027500000000 |
| 4.3 | 140000 | 0.00029 | 0.018371379310345 |
| 4.4 | 120000 | 0.00025 | 0.018691200000000 |
| 4.4 | 120000 | 0.00026 | 0.017972307692308 |
| 4.4 | 120000 | 0.00027 | 0.017306666666667 |
| 4.4 | 120000 | 0.00028 | 0.016688571428571 |
| 4.4 | 120000 | 0.00029 | 0.016113103448276 |
| 4.4 | 125000 | 0.00025 | 0.019470000000000 |
| 4.4 | 125000 | 0.00026 | 0.018721153846154 |
| 4.4 | 125000 | 0.00027 | 0.018027777777778 |
| 4.4 | 125000 | 0.00028 | 0.017383928571429 |
| 4.4 | 125000 | 0.00029 | 0.016784482758621 |
| 4.4 | 130000 | 0.00025 | 0.020248800000000 |
| 4.4 | 130000 | 0.00026 | 0.019470000000000 |
| 4.4 | 130000 | 0.00027 | 0.018748888888889 |
| 4.4 | 130000 | 0.00028 | 0.018079285714286 |
| 4.4 | 130000 | 0.00029 | 0.017455862068966 |
| 4.4 | 135000 | 0.00025 | 0.021027600000000 |
| 4.4 | 135000 | 0.00026 | 0.020218846153846 |
| 4.4 | 135000 | 0.00027 | 0.019470000000000 |
| 4.4 | 135000 | 0.00028 | 0.018774642857143 |
| 4.4 | 135000 | 0.00029 | 0.018127241379310 |
| 4.4 | 140000 | 0.00025 | 0.021806400000000 |
| 4.4 | 140000 | 0.00026 | 0.020967692307692 |
| 4.4 | 140000 | 0.00027 | 0.020191111111111 |
| 4.4 | 140000 | 0.00028 | 0.019470000000000 |
| 4.4 | 140000 | 0.00029 | 0.018798620689655 |
| 4.5 | 120000 | 0.00025 | 0.019116000000000 |
| 4.5 | 120000 | 0.00026 | 0.018380769230769 |
| 4.5 | 120000 | 0.00027 | 0.017700000000000 |
| 4.5 | 120000 | 0.00028 | 0.017067857142857 |
| 4.5 | 120000 | 0.00029 | 0.016479310344828 |
| 4.5 | 125000 | 0.00025 | 0.019912500000000 |
| 4.5 | 125000 | 0.00026 | 0.019146634615385 |
| 4.5 | 125000 | 0.00027 | 0.018437500000000 |
| 4.5 | 125000 | 0.00028 | 0.017779017857143 |
| 4.5 | 125000 | 0.00029 | 0.017165948275862 |
| 4.5 | 130000 | 0.00025 | 0.020709000000000 |
| 4.5 | 130000 | 0.00026 | 0.019912500000000 |
| 4.5 | 130000 | 0.00027 | 0.019175000000000 |
| 4.5 | 130000 | 0.00028 | 0.018490178571429 |
| 4.5 | 130000 | 0.00029 | 0.017852586206897 |
| 4.5 | 135000 | 0.00025 | 0.021505500000000 |
| 4.5 | 135000 | 0.00026 | 0.020678365384615 |
| 4.5 | 135000 | 0.00027 | 0.019912500000000 |
| 4.5 | 135000 | 0.00028 | 0.019201339285714 |
| 4.5 | 135000 | 0.00029 | 0.018539224137931 |
| 4.5 | 140000 | 0.00025 | 0.022302000000000 |
| 4.5 | 140000 | 0.00026 | 0.021444230769231 |
| 4.5 | 140000 | 0.00027 | 0.020650000000000 |
| 4.5 | 140000 | 0.00028 | 0.019912500000000 |
| 4.5 | 140000 | 0.00029 | 0.019225862068966 |
| 4.6 | 120000 | 0.00025 | 0.019540800000000 |
| 4.6 | 120000 | 0.00026 | 0.018789230769231 |
| 4.6 | 120000 | 0.00027 | 0.018093333333333 |
| 4.6 | 120000 | 0.00028 | 0.017447142857143 |
| 4.6 | 120000 | 0.00029 | 0.016845517241379 |
| 4.6 | 125000 | 0.00025 | 0.020355000000000 |
| 4.6 | 125000 | 0.00026 | 0.019572115384615 |
| 4.6 | 125000 | 0.00027 | 0.018847222222222 |
| 4.6 | 125000 | 0.00028 | 0.018174107142857 |
| 4.6 | 125000 | 0.00029 | 0.017547413793103 |
| 4.6 | 130000 | 0.00025 | 0.021169200000000 |
| 4.6 | 130000 | 0.00026 | 0.020355000000000 |
| 4.6 | 130000 | 0.00027 | 0.019601111111111 |
| 4.6 | 130000 | 0.00028 | 0.018901071428571 |
| 4.6 | 130000 | 0.00029 | 0.018249310344828 |
| 4.6 | 135000 | 0.00025 | 0.021983400000000 |
| 4.6 | 135000 | 0.00026 | 0.021137884615385 |
| 4.6 | 135000 | 0.00027 | 0.020355000000000 |
| 4.6 | 135000 | 0.00028 | 0.019628035714286 |
| 4.6 | 135000 | 0.00029 | 0.018951206896552 |
| 4.6 | 140000 | 0.00025 | 0.022797600000000 |
| 4.6 | 140000 | 0.00026 | 0.021920769230769 |
| 4.6 | 140000 | 0.00027 | 0.021108888888889 |
| 4.6 | 140000 | 0.00028 | 0.020355000000000 |
| 4.6 | 140000 | 0.00029 | 0.019653103448276 |
| 4.7 | 120000 | 0.00025 | 0.019965600000000 |
| 4.7 | 120000 | 0.00026 | 0.019197692307692 |
| 4.7 | 120000 | 0.00027 | 0.018486666666667 |
| 4.7 | 120000 | 0.00028 | 0.017826428571429 |
| 4.7 | 120000 | 0.00029 | 0.017211724137931 |
| 4.7 | 125000 | 0.00025 | 0.020797500000000 |
| 4.7 | 125000 | 0.00026 | 0.019997596153846 |
| 4.7 | 125000 | 0.00027 | 0.019256944444444 |
| 4.7 | 125000 | 0.00028 | 0.018569196428571 |
| 4.7 | 125000 | 0.00029 | 0.017928879310345 |
| 4.7 | 130000 | 0.00025 | 0.021629400000000 |
| 4.7 | 130000 | 0.00026 | 0.020797500000000 |
| 4.7 | 130000 | 0.00027 | 0.020027222222222 |
| 4.7 | 130000 | 0.00028 | 0.019311964285714 |
| 4.7 | 130000 | 0.00029 | 0.018646034482759 |
| 4.7 | 135000 | 0.00025 | 0.022461300000000 |
| 4.7 | 135000 | 0.00026 | 0.021597403846154 |
| 4.7 | 135000 | 0.00027 | 0.020797500000000 |
| 4.7 | 135000 | 0.00028 | 0.020054732142857 |
| 4.7 | 135000 | 0.00029 | 0.019363189655172 |
| 4.7 | 140000 | 0.00025 | 0.023293200000000 |
| 4.7 | 140000 | 0.00026 | 0.022397307692308 |
| 4.7 | 140000 | 0.00027 | 0.021567777777778 |
| 4.7 | 140000 | 0.00028 | 0.020797500000000 |
| 4.7 | 140000 | 0.00029 | 0.020080344827586 |
| 4.8 | 120000 | 0.00025 | 0.020390400000000 |
| 4.8 | 120000 | 0.00026 | 0.019606153846154 |
| 4.8 | 120000 | 0.00027 | 0.018880000000000 |
| 4.8 | 120000 | 0.00028 | 0.018205714285714 |
| 4.8 | 120000 | 0.00029 | 0.017577931034483 |
| 4.8 | 125000 | 0.00025 | 0.021240000000000 |
| 4.8 | 125000 | 0.00026 | 0.020423076923077 |
| 4.8 | 125000 | 0.00027 | 0.019666666666667 |
| 4.8 | 125000 | 0.00028 | 0.018964285714286 |
| 4.8 | 125000 | 0.00029 | 0.018310344827586 |
| 4.8 | 130000 | 0.00025 | 0.022089600000000 |
| 4.8 | 130000 | 0.00026 | 0.021240000000000 |
| 4.8 | 130000 | 0.00027 | 0.020453333333333 |
| 4.8 | 130000 | 0.00028 | 0.019722857142857 |
| 4.8 | 130000 | 0.00029 | 0.019042758620690 |
| 4.8 | 135000 | 0.00025 | 0.022939200000000 |
| 4.8 | 135000 | 0.00026 | 0.022056923076923 |
| 4.8 | 135000 | 0.00027 | 0.021240000000000 |
| 4.8 | 135000 | 0.00028 | 0.020481428571429 |
| 4.8 | 135000 | 0.00029 | 0.019775172413793 |
| 4.8 | 140000 | 0.00025 | 0.023788800000000 |
| 4.8 | 140000 | 0.00026 | 0.022873846153846 |
| 4.8 | 140000 | 0.00027 | 0.022026666666667 |
| 4.8 | 140000 | 0.00028 | 0.021240000000000 |
| 4.8 | 140000 | 0.00029 | 0.020507586206897 |
| 4.9 | 120000 | 0.00025 | 0.020815200000000 |
| 4.9 | 120000 | 0.00026 | 0.020014615384615 |
| 4.9 | 120000 | 0.00027 | 0.019273333333333 |
| 4.9 | 120000 | 0.00028 | 0.018585000000000 |
| 4.9 | 120000 | 0.00029 | 0.017944137931035 |
| 4.9 | 125000 | 0.00025 | 0.021682500000000 |
| 4.9 | 125000 | 0.00026 | 0.020848557692308 |
| 4.9 | 125000 | 0.00027 | 0.020076388888889 |
| 4.9 | 125000 | 0.00028 | 0.019359375000000 |
| 4.9 | 125000 | 0.00029 | 0.018691810344828 |
| 4.9 | 130000 | 0.00025 | 0.022549800000000 |
| 4.9 | 130000 | 0.00026 | 0.021682500000000 |
| 4.9 | 130000 | 0.00027 | 0.020879444444444 |
| 4.9 | 130000 | 0.00028 | 0.020133750000000 |
| 4.9 | 130000 | 0.00029 | 0.019439482758621 |
| 4.9 | 135000 | 0.00025 | 0.023417100000000 |
| 4.9 | 135000 | 0.00026 | 0.022516442307692 |
| 4.9 | 135000 | 0.00027 | 0.021682500000000 |
| 4.9 | 135000 | 0.00028 | 0.020908125000000 |
| 4.9 | 135000 | 0.00029 | 0.020187155172414 |
| 4.9 | 140000 | 0.00025 | 0.024284400000000 |
| 4.9 | 140000 | 0.00026 | 0.023350384615385 |
| 4.9 | 140000 | 0.00027 | 0.022485555555556 |
| 4.9 | 140000 | 0.00028 | 0.021682500000000 |
| 4.9 | 140000 | 0.00029 | 0.020934827586207 |
| 5 | 120000 | 0.00025 | 0.021240000000000 |
| 5 | 120000 | 0.00026 | 0.020423076923077 |
| 5 | 120000 | 0.00027 | 0.019666666666667 |
| 5 | 120000 | 0.00028 | 0.018964285714286 |
| 5 | 120000 | 0.00029 | 0.018310344827586 |
| 5 | 125000 | 0.00025 | 0.022125000000000 |
| 5 | 125000 | 0.00026 | 0.021274038461538 |
| 5 | 125000 | 0.00027 | 0.020486111111111 |
| 5 | 125000 | 0.00028 | 0.019754464285714 |
| 5 | 125000 | 0.00029 | 0.019073275862069 |
| 5 | 130000 | 0.00025 | 0.023010000000000 |
| 5 | 130000 | 0.00026 | 0.022125000000000 |
| 5 | 130000 | 0.00027 | 0.021305555555556 |
| 5 | 130000 | 0.00028 | 0.020544642857143 |
| 5 | 130000 | 0.00029 | 0.019836206896552 |
| 5 | 135000 | 0.00025 | 0.023895000000000 |
| 5 | 135000 | 0.00026 | 0.022975961538462 |
| 5 | 135000 | 0.00027 | 0.022125000000000 |
| 5 | 135000 | 0.00028 | 0.021334821428571 |
| 5 | 135000 | 0.00029 | 0.020599137931035 |
| 5 | 140000 | 0.00025 | 0.024780000000000 |
| 5 | 140000 | 0.00026 | 0.023826923076923 |
| 5 | 140000 | 0.00027 | 0.022944444444444 |
| 5 | 140000 | 0.00028 | 0.022125000000000 |
| 5 | 140000 | 0.00029 | 0.021362068965517 |