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Coil rotating in uniform magnetic induction .
where i0 =
peak value of current.
rms value of alternating current / e.m.f.
= 0.707 i0
irms = root
mean square (rms) value of current
i0 = peak value of current.
= 0.707 e0
erms = root
mean square (rms) value of e.m.f
e0 = peak value of current.
In case of a purely resistive circuit to which an a.c.
voltage is applied,
average power P = erms
XL = wL = 2p f L
= frequency of the applied a.c.
L = inductance.
C = Capacitance
Impedance (Z) when L and R are connected in series:
When an inductance L and a resistance R are connected in
series, the impedance Z is given by Z =
Impedance (Z) when C and R are connected in series:
When a capacitor of capacitance C and a resistance R are
connected in series, the impedance Z is given by Z =
In a L-C-R series circuit
tan f =
where f = the
angle by which e.m.f. leads the current.
Z = where Z =
impedance of the circuit resonant frequency f =
L = inductance
C = capacitance
Parallel resonant circuit
The resonant frequency fr =