1) and (7 10), we have
d
sin
d
vm
i
v
t
t
L
L
ω
=
=
(7 11)
Equation (7 11) implies that the equation for i(t), the current as a
function of time, must be such that its slope di/dt is a sinusoidally varying
quantity, with the same phase as the source voltage and an amplitude
given by vm/L