[labview1958 (OP)]

If a 1 kΩ and 2 kΩ resistance i parallel with a 1.5V battery, which resistance have a higher temperature? Is it IxIxR ? Which is true, higher current, higher temperature or higher resistance, higher temperature?

[justaskin]

Higher current, higher temperature.
If not short circuits would not be a problem.
Have a look at the size of the cable going to the starter on your car as opposed to the rest of the wiring.

Cheers
justaskin

[labview1958 (OP)]

What about electric water heater. Which heats up the water faster, long or short heater filament? Longer filament, higher resistance.

[justaskin]

Which heats up the water faster, long or short heater filament?
The one that has the greater current flow.
More current more heat.
More resistance less current less heat.
Water analogy
Open tap(less resistance) more water(current).

Cheers
justaskin

[Vern]

In an electrical circuit power (heat) is equal to current times resistance. P = I * R. A fellow named Ohm figured that out awhile back so we call it Ohm's law.

[justaskin]

In an electrical circuit power (heat) is equal to current times resistance. P = I * R. A fellow named Ohm figured that out awhile back so we call it Ohm's law.

Power(Watts)= E(voltage)X I(current).I think?.

Cheers
justaskin

[LeeE]

Yeah.  P = I * V, but you need to get I from V/R or V from I * R, depending on which ones you know, usually V & R.

[lyner]

It also depends upon the actual construction of the resistor. Take a 1k resistor, made out of wire. To get a 2k resistor, you can either make it twice as long or half the cross sectional area.
SO, the power dissipated by the 2k resistor would be half that dissipated by the  1k resistor (v squared / R) but the thinner resistor might be just as hot because its surface area would be less.

The example of water heaters is a matter of optimum design - available wire sizes, length of heater element that can be fitted nto the water tank, thickness of ceramic insulation desirable contact area with the water, desirable operating temperature of the wire when its inside the insulating ceramic etc. etc.

Temperature is difficult to predict - power is totally predictable.

[labview1958 (OP)]

The filament of a bulb is extremely long. Which bulb will be brighter, a long or short filament. Remember resistance changes with temperature.

[lightarrow]

If a 1 kΩ and 2 kΩ resistance i parallel with a 1.5V battery, which resistance have a higher temperature? Is it IxIxR ? Which is true, higher current, higher temperature or higher resistance, higher temperature?

It's not possible to answer this question with these data only.

[lyner]

The filament of a bulb is extremely long. Which bulb will be brighter, a long or short filament. Remember resistance changes with temperature.

If the filaments are the same cross section of tungsten then the shorter filament will get hotter - brighter.

[labview1958 (OP)]

Is it true that the filament of a 100Watt bulb is longer than a 60watt bulb? Is it also true that a 100Watt bulb is brighter than a 60watt bulb.

[lyner]

Not if you take just any pair of bulbs.That's why I referred to identical filament thicknesses - you need a fair test, to come to any serious conclusion. A 2kW electric kettle element is not as 'bright' as a 60W light bulb.

[LeeE]

A good point, nicely made Sophiecentaur.