**Series Type Ohmmeter:**

Series Type Ohmmeter – A D’ Arsonval movement is connected in series with a resistance R_{1} and a battery which is connected to a pair of terminals A and B, across which the unknown resistance is connected. This forms the basic type of series ohmmeter, as shown in Fig. 4.28 (a).

The current flowing through the movement then depends on the magnitude of the unknown resistance. Therefore, the meter deflection is directly proportional to the value of the unknown resistance.

Referring to Fig. 4.28 (a)

**R _{1} = current limiting resistance**

**R _{2} = zero adjust resistance **

**V = battery**

**R _{m }= meter resistance**

**R _{X }= unknown resistance**

**Calibration of the Series Type Ohmmeter**

To mark the “0” reading on the scale, the terminals A and B are shorted, i.e. the unknown resistance R_{x}= 0, maximum current flows in the circuit and the shunt resistance R_{2} is adjusted until the movement indicates full scale current (I_{fsd}). The position of the pointer on the scale is then marked “0” ohms.

Similarly, to mark the “∞” reading on the scale, terminals A and B are open, i.e. the unknown resistance R_{x} = ∞, no current flow in the circuit and there is no deflection of the pointer. The position of the pointer on the scale, is then marked as “∞” ohms.

By connecting different known values of the unknown resistance to terminals A and B, intermediate markings can be done on the scale. The accuracy of the instrument can be checked by measuring different values of standard resistance, i.e. the tolerance of the calibrated resistance, and noting the readings.

A major drawback in the series ohmmeter is the decrease in voltage of the internal battery with time and age. Due to this, the full scale deflection current drops and the meter does not read “0” when A and B are shorted. The variable shunt resistor R_{2} across the movement is adjusted to counteract the drop in battery voltage, thereby bringing the pointer back to “0” ohms on the scale.

It is also possible to adjust the full scale deflection current without the shunt R_{2} in the circuit, by varying the value of R_{1} to compensate for the voltage drop. Since this affects the calibration of the scale, varying by R_{2} is much better solution. The internal resistance of the coil R_{m} is very low compared to R_{1}. When R_{2} is varied, the current through the movement is increased and the current through R_{2} is reduced, thereby bringing the pointer to the full scale deflection position.

The series ohmmeter is a simple and popular design, and is used extensively for general service work.

Therefore, in a series ohmmeter the scale marking on the dial, has “0” on the right side, corresponding to full scale deflection current, and “∞” on the left side corresponding to no current flow, as given in Fig. 4.28 (b).

Values of R_{1 }and R_{2} can be determined from the value of R_{x} which gives half the full scale deflection.

where

R_{h} = half of full scale deflection resistance.

The total resistance presented to the battery then equals 2R_{h} and the battery current needed to supply half scale deflection is I_{h}=V/2R_{h.}.

To produce full scale current, the battery current must be doubled.

Therefore, the total current of the ckt, I_{t}=V/R_{h}

The shunt current through R_{2} is given by I_{2}=I_{t}-I_{fsd}

The voltage across shunt, V_{sh,} is equal to the voltage across the meter.

Therefore

Therefore

But

Therefore

Therefore

As

Therefore

Hence

Therefore

Hence, R_{1} and R2 can be determined.