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Electrical Formulae

Useful equations

Power (P)=Current (I)xVoltage (V)P=IV
Voltage (V)=Current (I)xResistance (R)V=IR
Power (P)=Power (kVA)xPower factor (pf) 

Power is usually expressed in watts (W), current in amps (A), voltage in volts (V) & resistance in ohms (Ω).

Resistance

Series : RTOTAL = R1 + R2 + R3 + ...

Parallel : 1/RTOTAL = 1/R1 + 1/R2 + 1/R3 + ...

Capacitance

Series : 1/CTOTAL = 1/C1 + 1/C2 + 1/C3 + ...

Parallel : CTOTAL = C1 + C2 + C3 + ...

Voltage Divider

VOUT = VIN x { ROUT / RTOTAL}

Resistor Colour Code Chart

The colour code used for resistor identification is shown in the diagram below.
The resistor is coded with a series of coloured bands, each band having a different value and meaning. Resistors are generally marked with either 4, 5 or 6 bands. A 4-band resistor has two significant figures, whereas a 5 or 6-band resistor has three. The following band in each case is the multiplier. The final band on a 6-band resistor is the temperature coefficient.

Significant Figures
0 1 2 3 4 5 6 7 8 9    
Multiplier
1 10 102 103 104 105 106 107 108 109 10-1 10-2
Tolerance (%)
  1% 2%     0.5% 0.25% 0.10% 0.05%   5% 10%
Temperature Coefficient (ppm/oC)
  100 50 15 25   10 5   1    
Black Brown Red Orange Yellow Green Blue Purple Grey White Gold Silver

So, for example, a resistor having bands brown, black, orange, gold will be a 10kohm resistor with a tolerance of 5%.

See also:


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