
43–284 Electricity and Magnetism
The capacitive reactance has units
χ
C
=
rad
s
−1
h
F
−1
i
=
"
C/s
V
−1
#
=
"
1
Ω
−1
#
= Ω ,
exactly as is necessary to relate volts to amperes. [The identification of 1 F = 1 C/V occurs in
Chapter 12, the definition of 1 C = 1 A·s appears in Chapter 17, and the realisation that 1 Ω = 1
V/A comes from Chapter 18. ]
The capacitive reactance is inversely proportional to both the capacitance of the circuit
element and the angular frequency of the driver. This stands to reason in both the low-
and high-frequency domains.
LOW At low frequency, more time is available for the maximum charge to accumulate
on the capacitor, and therefore this ...