Determining the resistance of nichrome using an equation

Pure metals typically have positive temperature coefficients of resistance. Remember that this is 5. If wiring voltage drop in a circuit is critical, exact resistance calculations for the wires must be made before wire size is chosen.

Go Back Resistivity and Conductivity The electrical resistance of a wire would be expected to be greater for a longer wire, less for a wire of larger cross sectional area, and would be expected to depend upon the material out of which the wire is made.

Temperature Coefficient of Resistance

At radio frequencies, this becomes a major factor in design because the outer part of a wire or cable carries most of the current. Conductor resistance increases with increased length and decreases with increased cross-sectional area, all other factors being equal.

The equation for this resistance temperature dependence can be expressed in general terms as: Most conductive materials change specific resistance with changes in temperature. The specific resistances of several conductive materials can be found in the following table. Semiconductor materials carbon, silicon, germanium typically have negative temperature coefficients of resistance.

Unfortunately, this is far too much resistance to allow 25 amps of current with a source voltage of volts. The actual range is 1.

If this is the case, the voltage drops resulting from wire resistance may cause an engineering problem while being well within safe fire limits of ampacity: This equation can graphically represented by l on the y-axis and R on the x-axis. For instance, we may be designing a circuit where voltage across a component is critical, and must not fall below a certain limit.

A ruler was used to measure the length of the wire part that was part of the circuit and an ohmmeter was used to identify the resistance of the circuit. Another limitation to the procedure of the experiment is the assumption of the electrical resistivity of the Nichrome wire. Chapter 12 - Physics Of Conductors And Insulators Designing Wire Resistance Conductor ampacity rating is a crude assessment of resistance based on the potential for current to create a fire hazard.

One of these is the number of collisions that occur between the charge carriers and atoms in the material. Although it is temperature dependent, it can be used at a given temperature to calculate the resistance of a wire of given geometry.

Setting up a table of voltage, current, and resistance values we get: It should be noted that it is being presumed that the current is uniform across the cross-section of the wire, which is true only for Direct Current. Online Plagiarism Checker Nichrome wire by determining its resistivity - Sample Essay Metals have low resistance due to their delocalized field of electrons.

The electrical resistance can be determined by an ohmmeterlength, using a ruler, and the resistivity was determined by the literature value of 1. In most cases the resistance increases with temperature, but in some it falls.

Therefore, the most accurate way would be use a micrometer screw gauge to measure the diameter of the wire at different locations and then match the experimental value obtained from this experiment against the average of the micrometer readings. Solving Going back to our example circuit, we were looking for wire that had 0.

A possible workaround both these problems can be to use a thread to run along the Nichrome wire and then measure the thread to determine the length of the Nichrome wire used. Another issue that arose due to the usage of the bobs was that it was difficult to measure the length of the wire that was used to complete the loop around the bob.

For pure metals, this coefficient is a positive number, meaning that resistance increases with increasing temperature. Temperature coefficient of resistance basics The reason behind the temperature coefficient of resistance within a conductor can be reasoned intuitively.

The following table gives the temperature coefficients of resistance for several common metals, both pure and alloy: When looking at the resistance temperature dependence, it is normally assumed that the temperature coefficient of resistance follows a linear law. Specific resistance is a constant for the type of conductor material being calculated.

Specific Resistance

Recalculating our circuit values, we see what changes this increase in temperature will bring: Our total circuit wire resistance is 2 times 5. The resistance is given by the following formula 1:Measuring the Resistivity of a Wire Student Worksheet The resistance of a wire is given by the equation R = 2 Calculate the cross-sectional area A of the wire using the equation A = ¼πd2.

3 Determine the gradient of your graph. Whether or not a material obeys Ohm's law, its resistance can be described in terms of its bulk resistivity. The resistivity, and thus the resistance, is temperature dependent.

Over sizable ranges of temperature, this temperature dependence can be predicted from a temperature coefficient of resistance.

R: Is the resistance of the cable in?Г¶ohmsГґ and may be determined using the equation R=V/I where Г¶VГґ can be voltage in volts and Г¶IГґ is current in amperes. L: May be the length of the nichrome wire found in metres.

The equation for this resistance temperature dependence can be expressed in general terms as: Where R = the resistance at temperature, T Rref = the resistance at temperature Tref Nichrome: x 10^ Nickel: 59 x 10^ Platinum: 38 x 10^ Silicon x 10^24 By using this site, these terms including the use of cookies are.

Determining the Level of resistance of Nichrome Applying an Equation

Metals have low resistance due to their delocalized field of electrons. However, different metals have different values of resistance. In this experiment, the students were given a spool of Nichrome wire to determine its diameter. Nichrome, as the name suggests, is an alloy of Nickel, Chromium and Iron.

The “alpha” (α) constant is known as the temperature coefficient of resistance, and symbolizes the resistance change factor per degree of temperature change. Just as all materials have a certain specific resistance (at 20 o C), they also change resistance according to temperature by certain amounts.

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Determining the resistance of nichrome using an equation
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