The impedance of an inductor
(ZL) is given by the formula:
ZL=2Ï€fLwhere:
f is the frequency of the
AC source in
Hertz(Hz),
L is the inductance in Henrys
(H),
2Ï€f represents the angular frequency of the
AC source.
In this case, we are dealing with a maximum current
(Imax) of
√2A and a voltage source of
200V operating at
50‌Hz. The relationship between the voltage
(V), impedance
(ZL), and maximum current
(Imax) can be expressed as:
V=Imaxâ‹…ZLWe can rearrange this formula to solve for
L :
L=‌Substituting the given values:
L=‌After simplification:
‌L=‌‌L=‌Further simplification gives:
L=‌ Simplifying the
√2 in the denominator by multiplying numerator and denominator by
√2 gives:
‌L=‌‌L=‌HHence, the correct answer is Option C:
‌H.