Engineering ToolBox - Resources, Tools and Basic Information for Engineering and Design of Technical Applications!

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# Electric Heating of Mass

## Electric heating of an object or mass - temperature change vs. energy supplied.

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When an electric heater heats an object - the electric energy is transformed to heat by increased object temperature. The electric energy used equals the change in thermal energy and can be expressed as:

P t μ = U I t μ

= c m dT                                (1)

electric energy supplied = thermal energy change in object

where

P = power (watts, W)

U = potential difference (volts, V)

I = electrical current (amps, A)

t = time (sec)

μ = heating efficiency

c = specific heat of the heated substance (J/kgoC)

m = mass of the heated substance (kg)

dT = temperature differance (oC)

#### Example - 12 Volt Car Water Heater

The temperature change in a 12 volts and 10 amps Car Water Heater (100% efficient => μ = 1) with 0.4 kg water and 5 minutes heating period can be calculated by modifying (1) to

dT = U I t μ / c m

= (12 volts) (10 amps) (300 sec) 1 / (4200 J/kgoC) (0.4 kg)

= 21.4 oC

Note! The mass of the water heater and the heat loss from the heater during heating is neglected in the calculation. In reality the mass of the heater and the heat loss from the heater during the heating process will influence the temperature change.

### Electric Heat Calculator

This calculator can be used to calculate temperature rise in an electric heated object or mass. Heat loss during heating is neglected.

P - power (W)

t - time (s)

μ - efficiency

c - specific heat (J/kgoC)

m - mass (kg)

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## Related Topics

• Electrical - Electrical units, amps and electrical wiring, wire gauge and AWG, electrical formulas and motors.
• Thermodynamics - Thermodynamics of steam and condensate systems.

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## Unit Converters

Temperature

oC
oF

Length

m
km
in
ft
yards
miles
naut miles

Area

m2
km2
in2
ft2
miles2
acres

Volume

m3
liters
in3
ft3
us gal

Weight

kgf
N
lbf

Velocity

m/s
km/h
ft/min
ft/s
mph
knots

Pressure

Pa (N/m2)
bar
mm H2O
kg/cm2
psi
inches H2O

Flow

m3/s
m3/h
US gpm
cfm

6 24

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