Voltage Drop Calculation as per IS 732 Step-by-Step Guide

Published on MEPMate  |  Electrical Engineering  |  IS 732

Voltage drop is one of the most important checks every electrical engineer must perform during the design of low-voltage (LV) cable systems. When current flows through a conductor, it encounters resistance and causes a reduction in voltage at the load end. If this drop is too large, sensitive equipment malfunctions, motors overheat, and lighting flickers. IS 732 the Indian Standard for Electrical Wiring Installations mandates that voltage drop on any branch circuit must not exceed 3% of the nominal supply voltage.

This guide walks you through the complete voltage drop calculation process, from the formula derivation to two fully worked examples one single-phase and one three-phase so you can confidently size cables on your next project.

Why Voltage Drop Matters in LV Circuits

The supply voltage at the source is typically 230V (single-phase) or 415V (three-phase) in India. As you run a cable from the distribution board to a load say, 80 metres to a distant motor the cable's resistance causes a voltage drop. The load only sees the reduced voltage.

  • Motors: Torque is proportional to voltage squared. A 5% drop causes a 10% torque reduction, stalling motors and increasing current draw.
  • LED drivers and electronics: Under-voltage causes flickering, reduced output, and premature failure.
  • UPS systems: Low input voltage forces UPS units onto battery unnecessarily, shortening battery life.
  • Incandescent and halogen lamps: Visible dimming occurs at just 35% drop.

IS 732 sets the 3% limit on branch circuits to protect equipment and ensure an acceptable quality of supply at the point of use. Some designers also apply an overall feeder + branch limit of 5% but each branch must individually pass the 3% check.

The Voltage Drop Formula (IS 732)

IS 732 uses the Ohm's Law derivation based on conductor resistivity. The formulas are:

Single Phase: Vd = (2 L I ?) / A Three Phase: Vd = (v3 L I ?) / A Where: Vd = Voltage drop (Volts) L = One-way cable length (metres) I = Design current (Amperes) ? = Resistivity of conductor (Omm/m) Copper: 0.0172 Aluminium: 0.0282 A = Cable cross-sectional area (mm) Voltage Drop Percentage: Vd% = (Vd / Vsupply) 100 Must be = 3% as per IS 732

The factor of 2 in the single-phase formula accounts for the both the live and neutral conductors current flows through both. In three-phase systems, v3 ( 1.732) replaces 2 because of the phase geometry.

Worked Example 1 Single-Phase Circuit

Problem

A 3kW, 230V single-phase pump is located 60m from the distribution board. The design current is 13.5A. A 4mm copper cable (PVC-insulated) is proposed. Check whether this satisfies the IS 732 3% voltage drop limit.

Solution

Given: L = 60 m I = 13.5 A ? = 0.0172 Omm/m (copper, PVC using 0.0196 at operating temp) A = 4 mm Vd = (2 60 13.5 0.0196) / 4 = (2 60 13.5 0.0196) / 4 = 31.752 / 4 = 7.94 V Vd% = (7.94 / 230) 100 = 3.45% Result: FAIL 3.45% exceeds the IS 732 3% limit.

Corrective Action

Try 6 mm: Vd = (2 60 13.5 0.0196) / 6 = 31.752 / 6 = 5.29 V Vd% = (5.29 / 230) 100 = 2.30% Result: PASS 2.30% is within the 3% limit. Use 6mm copper cable for this circuit.

Worked Example 2 Three-Phase Circuit

Problem

A 15kW, 415V three-phase motor is installed 80m from the motor control centre (MCC). The full-load current is 27A (at PF 0.86). Check voltage drop for a 10mm copper cable.

Given: L = 80 m I = 27 A ? = 0.0196 Omm/m (copper PVC at operating temperature) A = 10 mm Vd = (v3 80 27 0.0196) / 10 = (1.732 80 27 0.0196) / 10 = 73.35 / 10 = 7.34 V Vd% = (7.34 / 415) 100 = 1.77% Result: PASS 1.77% is well within the IS 732 3% limit. 10mm copper cable is acceptable.

Quick Reference Maximum Cable Length for 3% Drop

For a 230V single-phase circuit using copper cable at full IS 732 3% allowance (Vd = 6.9V), the maximum one-way cable length for common cable sizes and currents is:

Cable SizeCurrent (A)Max Length (m)
2.5 mm1049.8 m
4 mm1649.5 m
6 mm2059.9 m
10 mm3262.4 m
16 mm4079.4 m
25 mm6379.4 m

Use our free Voltage Drop Calculator to instantly check IS 732 compliance for any single-phase or three-phase circuit no manual arithmetic required.

Common Mistakes in Voltage Drop Calculations

  • Using 20C resistivity at operating temperature: PVC cables run at 70C always use temperature-corrected resistivity (0.0196 for copper PVC, 0.0282 1.14 = 0.0322 for aluminium PVC).
  • Using two-way length instead of one-way: The formula already multiplies by 2 for single-phase. Always input the one-way cable length (source to load).
  • Not checking feeder drop separately: If your main feeder has 2% drop and branch has 3%, the total at the load is 5%. Design each section so the cumulative drop is acceptable.
  • Ignoring neutral conductor for single-phase: The return path (neutral) has the same resistance as the live conductor this is why the formula uses 2 L.

Voltage Drop vs Voltage Regulation Key Difference

Voltage drop is the difference in voltage between the sending end and receiving end of a cable under load conditions. It is governed by IS 732 for cable design and is expressed in volts or as a percentage of supply voltage.

Voltage regulation is the percentage change in terminal voltage between no-load and full-load conditions. It is used for transformer and generator sizing, not for cable design. Do not confuse the two they use different calculations and serve different design purposes.

Aluminium vs Copper Impact on Voltage Drop

Aluminium has a resistivity of 0.0282 Omm/m at 20C approximately 1.64 times higher than copper. This means for the same cable length and current, aluminium produces 64% more voltage drop than copper of the same cross-section. To achieve the same voltage drop performance, you need to increase the aluminium cable size by approximately one to two standard sizes (e.g., 16mm aluminium 10mm copper for voltage drop purposes).

Conclusion

Voltage drop calculation is a mandatory step in every LV cable design and must be performed alongside current carrying capacity checks. IS 732's 3% limit protects your electrical installation from equipment damage, inefficiency, and safety hazards. By mastering the formula and understanding when to upsize cables, you ensure a reliable, code-compliant electrical system.

For faster results on every project, use the MEPMate Voltage Drop Calculator it checks IS 732 compliance instantly for both single-phase and three-phase circuits. Also check our Cable Size Calculator which simultaneously sizes cables for both current capacity and voltage drop.