The fundamental Ohm's law formulas for
a-c circuits are given by:
|
|
|
I = E / Z
|
|
Z = E / I
|
|
|
E = I*Z
|
|
P = E*I*cos Ø
|
|
|
Where:
|
I = current in amperes,
|
|
Z = impedance in Ohms,
|
|
E = volts across,
|
|
P = power in watts, |
|
Ø = phase angle in degrees.
|
|
Phase Angle
|
The phase angle is defined as the difference
|
in degrees by which current leads voltage in a
|
capacitive circuit, or lags voltage in an inductive
|
circuit, and in series circuits is equal to the
|
angle whose tangent is given by the ratio X/R and
|
is expressed by:
|
arc tan (X/R)
|
Where: |
|
X = the inductive or capacitive reactance in ohms,
|
|
R = the non-reactive resistance in ohms,
|
of the combined resistive and reactive components
|
of the circuit under consideration.
|
Therefore: |
in a purely resistive circuit, Ø = 0°
|
in a purely reactive circuit, Ø = 90°
|
and in a resonant. circuit,
Ø = 0°
|
also when: |
|
Ø = 0°, cos Ø = l and P = E*I,
|
Ø = 90°, cos Ø = 0 and P = 0.
|
--------------
|
Degrees x 0.0175 = radians. 1 radian = 57.3°
|
|
Power Factor
|
The power-factor of any a-c circuit is equal to
the true power in watts divided by the apparent
power in volt-amperes which is equal to the
cosine of the phase angle, and is expressed by
|
E*I*cos Ø
p . f . = ---------------- = cos Ø
E*I
|
Where: |
|
p.f. = the circuit load power factor,
|
|
E*I*cos Ø = the true power in watts,
|
|
E*I* = the apparent power in voltamperes,
|
|
E = the applied potential in volts
|
|
I = load current in amperes.
|
|
Therefore: |
in a purely resistive circuit.
|
Ø = 0° and p.f. = 1
|
and in a reactive circuit,
|
Ø = 90° and p.f. = 0
|
and in a resonant circuit,
|
Ø = 0° and p.f. = 1
|
|
Ohm's Law for D-C Circuits
|
The fundamental Ohm's law formulas for
|
d-c circuits are given by,
|
|
E
I = --- , R
|
|
E
R = --- , I
|
|
|
E = I*R |
|
P = I*E |
|
where: |
|
I = current in Amperes,
|
|
R = resistance in ohms,
|
|
E = potential across R in volts,
|
|
P = power in watts.
|
|