Capacitance Of A Parallel Plate Capacitor With Dielectric Slab
Capacitance Of A Parallel Plate Capacitor With Dielectric Slab — the NEET Physics formula with its derivation, variables, validity constraints and worked solver.
Capacitance of a Parallel Plate Capacitor with Dielectric Slab Valid for parallel plate capacitors where a dielectric slab of thickness t is inserted parallel to the plates. Assumes the dielectric fills the entire area A but only a fraction of the distance d. Electric field in air gap is E 0 = sigma / epsilon 0 Electric field in dielectric is E = E 0 / K Potential difference V = E 0(d-t) + E(t) Substitute E and factor out E 0 to get V = (sigma / epsilon 0) (d - t + t/K) Use C = Q/V with Q = sigma A t <= d K >= 1 Thinking capacitance decreases with a dielectric (it always increases). Confusing (d-t) with the total distance. Applying the formula when the dielectric fills half the AREA (parallel combination), rather than half the DISTANCE (series combination).