ALLIED'S ELECTRONICS DATA HANDBOOK

Ohm's Law for A-C Circuits

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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.

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