The electrostatic capacitance of an inclined plate capacitor

Considering the dimension and relative position of the two plates, the capacitance of an inclined plate capacitor is precisely calculated. Conformal mappings are employed and elliptic functions are used for achieving the general result. Taking the fringing effect into account, the inner capacitance and outer capacitance of the inclined angle are added to obtain a reliable result. The expression for computing the fringing capacitance of a parallel-plate capacitor and the capacitance of a parallel-strip transmission line in a plane are presented as special cases.