Analysis of electric circuitsThe analysis of electric circuits, to find the voltages and currents at every point, employs two basic laws, illustrated here. The circuit shown supplies power from a battery (V) to three components (having resistance R1, R2, R3) through power lines which each have a resistance (R). First, Kirchoff's "current law" states that at every junction, electric current neither appears nor vanishes: current is conserved, thus (center left) I = I3 + I2; and so on around the circuit. Second Kirchoff's "voltage law" states that the total voltage around any constituent circuit is zero: thus (center right,applying Ohm's law) V + IR + I3R3 + IR = 0; the same applies to the other two circuit loops. Given the battery voltage and the resistances, the currents can be calculated. The bottom diagram shows the circuit of an electrical resistance thermometer, in which changes in the probe resistance, r, are used to measure the temperature. Contact C is moved along a resistance-wire (ab) until the detector in CD shows zero current. If the two resistances R are equal, it is then true that Rc + a = b + r; r is read off from a pre-calibrated scale along the wire ab.
Related category• ELECTRICITY AND MAGNETISM
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