What is an autotransformer and how does it work?

An autotransformer, also known as variac or dimmerstat, is a single winding transformer which has a common primary and secondary winding. The primary and secondary winding in them is not electrically isolated. They are cheaper, efficient and have a better voltage regulation than the normal transformers. They are much useful in cases in which the voltage ratio is less than 2 and the electrical isolation of winding is not essential.

Note: The term ‘Auto’ in ‘autotransformer’ does not refer to automatic output voltage variation.


An autotransformer consists of three parts: core, winding and moving contact – knob arrangement.  

Parts of autotransformer


The core is made of high-quality Cold Rolled Grain Oriented (CRGO) silicon steel in order to minimize core losses. The core could be laminated, split, or toroidal type


As said earlier, autotransformers have a single copper conductor wound over the core which acts as the primary and secondary.

Moving-contact-knob arrangement

A rotary arm like arrangement with carbon brush at its tip and a knob at the top is present in autotransformers. The carbon brush slides over the windings when the knob is rotated. Smooth control of voltage can be attained with the help of the sliding brush.

Three phase autotransformer

In the case of three-phase autotransformers, three single-phase autotransformers are arranged one above the other, as in the picture above, and controlled by a single knob.

Working of autotransformers

As mentioned earlier, in an autotransformer single winding serves as both primary and secondary. The terminals A and C acts as the input (primary) and the terminals E and C acts as the secondary. E is connected to the sliding carbon brush.

Working of autotransformer

A part of energy transfer between the primary and the secondary is through conduction and the rest is through induction. In the schematic shown below, Let Np be the total number of turns wound over the transformer core, the brush is moved to point C to obtain a secondary turns Ns. Vp and Vs are the voltage measured across the primary and secondary currents respectively. Ip and Is are the primary and secondary currents.

Schematic Diagram of autotransformer

The voltage and current transformation ratio (turns ratio) is same as that of the two winding transformer.

The number of turns between the points A and B is Np, the number of turns between A and C is (Np-Ns). Since all the turns link the same flux in the transformer core,

The turns ratio ‘a’ can be varied by moving the carbon brush through the winding and changing the position of the point C.

Turns ratio, a = \frac{V_p}{V_s} = \frac{N_p}{N_s} = \frac{I_s}{I_p}

The turns ratio of the upper part of the transformer is given by

    \[ \frac{V_p - V_s }{V_p} = \frac{N_p-N_s}{N_p} = (1-\frac{1}{a}) \]

Copper savings

Copper conductor contributes to the larger part of manufacturing cost of a transformer. As the primary and secondary of the autotransformers share the same winding, a huge cost savings can be achieved.

The weight of the copper winding depends on the length and thickness of the conductor used. Therefore it is proportional to the number of turns of copper used in the transformer.

The weight of copper ∝ (length of cu. wire × cross-sec. area of cu. wire)

The area of cross- section of copper wire is directly proportional to the amount of current it can conduct.

Therefore, the weight of copper, N N × I

The weight of copper (WAT) needed for an autotransformer is proportional to:

WAT (Np – Ns).Ip + Ns.(Is – Ip)

(i.e.) WAT Np.Ip + Ns.Is – 2Ns.Ip

Since Np.Ip = Ns.Is,

WAT 2(Np – Ns).Ip ——— Equation (1)

Now, let us calculate the weight of copper (WTW) required for a two winding transformer.

WTW Np.Ip + Ns.Is

Since Np.Ip = Ns.Is,

WTW 2Np.Ip ——— Equation (2)

Dividing equation (1) by equation (2),

    \[ \frac{W_A_T}{W_T_W} = \frac{N_p-N_s}{N_p} = 1 - \frac{1}{a}  \]

This means if the turns ratio is 2, the weight of copper required for an autotransformer is half of that required for two winding transformers.

Read More: Transformer turns ratio


  • Autotransformers are widely used in laboratories to obtain variable AC voltage for lab apparatus.
  • They are used to start induction and synchronous motors.

Advantages and disadvantages of autotransformers over two winding transformer


  • For the same VA rating, an autotransformer requires less copper and less core material.
  • Also, it requires less exciting current, has an ohmic loss and is lighter as compared to a two winding transformer.
  • Autotransformers have higher efficiency and lower leakage impedance than two winding transformers.
  • They have a better voltage regulation than two winding transformers.


  • They are preferred for a voltage ratio of less than 2.
  • Break in the part of the winding that is used as both primary and secondary will result in the transformer acts as an inductor in series with the load.
  • Autotransformers do not isolate primary and secondary circuits. Hence any failures in the transformer can result in the application of full primary voltage to the load.
  • Due to lesser impedance, the short circuit current in autotransformer is higher than that in two winding transformer.
Variable autotransformer

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