Electric Heating and Welding

Electric heating converts electrical energy to heat by Joule heating (I²Rt), induction (eddy currents) or dielectric (HF) methods; arc welding delivers concentrated heat set by the arc voltage, current and travel speed.

Key formulas & points

Skim these first — then read the full notes below.

  • Induction heating: eddy currents in workpiece
  • Dielectric heating for insulating materials at HF
  • Resistance welding: spot, seam, projection types

Topic details

Introduction

Resistance heating dissipates I²R in a heating element or the workpiece itself; the energy H = I²Rt (joules) links directly to the temperature rise via the mass and specific heat. Induction heating induces eddy currents in a conductive workpiece for clean, localised heating.

Scope in B.Tech and GATE syllabus

Arc welding melts metal with heat from an electric arc; the heat input per unit length H = ηVI/(v) (with v the travel speed) determines penetration and the heat-affected zone. A drooping V–I source suits manual arc welding, a flat source suits MIG.

Key relations & formulas

HeatH=I2RtHeat H = I^{2} R t
(Joule heating, resistance furnace)
Welding:heatinputH=ηVIt(v×60)Welding: heat input H = \eta V I \frac{t}{(v \times 60)}
(J/mm, v travel speed)

Formulas (Indian textbook notation)

  • Arcwelding:VIcharacteristicdroopingvsflatArc welding: V-I characteristic - drooping vs flat

Notation and sign conventions

Relation 1 —
HeatH=I2RtHeat H = I^{2} R t
HeatH=I2RtHeat H = I^{2} R t
(Joule heating, resistance furnace)
Write this relation with symbols exactly as in Art & Science of Utilisation of Electrical Energy — H. Partab before substituting numbers. Examiners award partial marks for a correct setup even when arithmetic slips.
Relation 2 —
Welding:heatinputH=ηVIt/Welding: heat input H = \eta V I t /
Welding:heatinputH=ηVIt(v×60)Welding: heat input H = \eta V I \frac{t}{(v \times 60)}
(J/mm, v travel speed)
Write this relation with symbols exactly as in Art & Science of Utilisation of Electrical Energy — H. Partab before substituting numbers. Examiners award partial marks for a correct setup even when arithmetic slips.
Relation 3 —
Arcwelding:VIcharacteristicdroopingvsflatArc welding: V-I characteristic - drooping vs flat

Formulas (Indian textbook notation)

  • Arcwelding:VIcharacteristicdroopingvsflatArc welding: V-I characteristic - drooping vs flat
Write this relation with symbols exactly as in Art & Science of Utilisation of Electrical Energy — H. Partab before substituting numbers. Examiners award partial marks for a correct setup even when arithmetic slips.

Fundamentals and definitions

The temperature rise from a known heat input follows H = m c ΔT, so ΔT = H/(mc). Furnace design accounts for heat losses so the input exceeds this ideal value by the furnace efficiency.

Governing relations in practice

Induction heating frequency is chosen for the required depth: higher frequency heats a thinner surface layer (smaller skin depth), used for surface hardening; lower frequency heats deeper for through-melting.

Design and analysis considerations

Resistance (spot/seam) welding passes a large current briefly through overlapping sheets; the contact resistance concentrates heat at the interface to form a nugget.

Assumptions and validity limits

State assumptions explicitly before using any relation for electric heating and welding — steady state, uniform properties, linear elastic material, ideal gas, incompressible flow, etc., as applicable.
Wrong assumptions invalidate the entire solution even when the formula is correct. In Electrical Utilization viva and GATE descriptive questions, listing valid assumptions often earns separate marks.

Step-by-step problem approach

1. Read the question and list given data with SI units (common in Electrical Utilization papers).
2. Draw a neat labelled diagram where applicable — examiners in Indian universities award diagram marks even when arithmetic slips.
3. Identify which relation from this topic applies to electric heating and welding.
4. Use equation 1:
HeatH=I2RtHeat H = I^{2} R t
.
5. Use equation 2:
Welding:heatinputH=ηVIt/Welding: heat input H = \eta V I t /
.
6. Substitute values, compute, and verify units and sign (direction).
7. State conclusion in one line — e.g. safe/unsafe, stable/unstable, feasible/infeasible.

Applications & exam relevance

Electric Heating and Welding appears in industry and railways. In Indian electrical curricula this topic is tested because it connects theory to traction, illumination, and heating.
GATE and semester exams often combine electric heating and welding with earlier units — revise prerequisites before attempting mixed problems.
Industry interview panels sometimes ask: "Where did you use electric heating and welding?" — answer with a lab, mini-project, or plant visit example if possible.

Common mistakes in exams

• Forgetting furnace efficiency (real input exceeds the ideal mcΔT)
• Using average instead of rms current in I²Rt
• Ignoring the travel-speed term in welding heat input
• Mixing up the drooping vs flat source characteristic for the welding process

Quick revision checklist

Before attempting electric heating and welding problems, confirm you can:
1. Induction heating: eddy currents in workpiece
2. Dielectric heating for insulating materials at HF
3. Resistance welding: spot, seam, projection types
Revise the solved examples in Art & Science of Utilisation of Electrical Energy — H. Partab and one previous-year GATE or university paper for this unit.

Worked examples

Try the problem first — open the solution when you are ready to check.

Energy to heat a metal charge

Problem

A resistance furnace must raise 50 kg of steel by 800 °C. Specific heat of steel = 480 J/kg·°C. If the furnace efficiency is 75%, find the electrical energy required in kWh.

Solution

Ideal heat H = m c ΔT = 50 × 480 × 800 = 1.92×10⁷ J.
Electrical input = H/efficiency = 1.92×10⁷/0.75 = 2.56×10⁷ J.
Convert to kWh: 2.56×10⁷ / 3.6×10⁶ = 7.11 kWh.

Conceptual check — Electric Heating and Welding

Problem

In a Electrical Utilization semester or GATE paper you are asked: "State the main assumption, the governing relation, and one practical consequence of electric heating and welding." What should a complete answer include?

Exams & GATE

H Partab — compare resistance vs arc welding power sources.

📖 Standard books (India)

  • Art & Science of Utilisation of Electrical EnergyH. Partab

    Read: Syllabus unit

    Traction, illumination, and drives