Since the time of a period = 1 ÷ frequency, the time of one-quarter of a period is ¼ × (1 ÷ frequency), or
¼ period = ¼ f (2)
f, being the symbol for frequency. Substituting (2) in (1)
maximum charge = Iav × ¼f (3)
The pressure of a condenser is equal to the quotient of the charge divided by the capacity, that is
| charge | |||
| condenser pressure | = | (4) | |
| capacity |
Substituting (3) in (4)
| ⎛ | 1 | ⎞ | Iav | ||||||||
| condenser pressure | = | ⎜ | Iav | × | ⎟ | ÷ | C | = | (5) | ||
| ⎝ | 4f | ⎠ | 4fC |
But, Iav = Imax × 2 / π, and substituting this value of Iav in equation (5) gives