# RC Networks

## Technical Bulletin No. 12

The generation of inductive or switching transients is well-known phenomenon to design engineers.

The suppression of such transients is required for two general purposes: For contact protection and/ or to prevent the generation of electromagnetic in­terference (EMI). When arc suppression only is required, the suppression device is normally placed across the switching device. When EMI is to be suppressed, optimum results are obtained when the suppression device is placed across the load, particularly if long leads are required between the switching device and the load. Many techniques have been devised to eliminate or suppress the transients. When features such as cost, size, and effect on the circuit are considered, the most effec­tive application is a series capacitor-resistor network.

The selection of the optimum value of capacitor and resistor combination depends on the ratio of inductance to resistance of the switched load, the distributed capacitance of the circuit, the speed of the contact opening, and the voltage and current of the circuit. The generated voltage at the time of contact opening is: el = L di/dt. Depending on the circuit resistance and the rate of switch opening, thousands of volts can be developed in very low voltage circuits.

The capacitor should be capable of absorbing the stored energy of the inductive load which is 1/2 LI(2) joules but the resistance and distributed capaci­tance of the load and line affect this selection. It should also be noted that the value of the capacitor selected can cause ringing in the circuit unless properly damped. It is obvious that the calculations can be complex and most times impossible, be­cause in commercial applications, the inductive value of the load is not known or may not be con­stant. However, practical values can be obtained from the following formulas for contact protection:

where I is the load current and E is the open circuit voltage.

Starting with these values, either or both compo­nents can be varied to obtain the optimum result. A general rule is to increase the value of the capaci­tor to decrease the transient voltage. (Note that contact arcing begins around 320V in air.) However care should be taken so that the values of the RC across contacts will limit the open circuit cur­rent to the load in A.C. applications.

The correct wattage of the resistors is dependent on the frequency of contact closure/opening in DC circuits. Most often a 1/2 to 1 watt resistor will suffice. In AC circuits the actual currents can be calculated and the 12R value used.

RC networks placed across the load are more diffi­cult to calculate. A rule of thumb again is to select a capacitor whose value in Mfd. is between 1/2 and 1 times the load current in amps. The series resistor should initially be chosen to equal the load DC resistance.

In summary, RC networks provide simple, econom­ical means of suppressing inductive transients. The optimization of the component values can be quite complex. However, it has been found that most contact protection can be achieved with capacitor values between .22 Mfd. and .47 Mfd. with series resistance values from 10 Ohm to 400 Ohm.