Finding Length and Diameter Of A Wire

In summary, to measure the length of a wire, a ruler or measuring tape can be used. To find the diameter, a micrometer or caliper is needed. Length refers to the measurement from one end to the other, while diameter is the distance across the widest part of a circular object. The length and diameter of a wire can be measured without cutting it using non-destructive testing methods, but physical measurement may be more accurate. To calculate the cross-sectional area of a wire, use the formula A = πr^2, where A is the area and r is the radius (diameter divided by 2). This calculation is important for determining the wire's resistance and other physical properties.
  • #1
Bashyboy
1,421
5

Homework Statement


Suppose you wish to fabricate a uniform wire from 2.00 g of copper. The wire is to have a resistance of* R = 0.480 Ω*and all the copper is to be used.


Homework Equations





The Attempt at a Solution



In the problem, they suggest using this relationship for resistance [itex]R=\rho A l[/itex]. How did they get that? From my understanding, resistance is [itex]R = \rho \frac{l}{A}[/itex]
 
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  • #2
You are right, R=ρL/A.

ehild
 
  • #3
The mass is [itex]M=Ald[/itex], where d is the density.
 

1. How do you measure the length of a wire?

The length of a wire can be measured using a ruler or measuring tape. Simply lay the wire out in a straight line and measure from one end to the other.

2. What tools are needed to find the diameter of a wire?

To find the diameter of a wire, you will need a micrometer or caliper. These tools measure small distances with high precision and are commonly used in scientific and engineering fields.

3. What is the difference between length and diameter?

Length refers to the measurement of an object from one end to the other, while diameter is the distance across the widest part of a circular object. In the case of a wire, length would refer to the entire length of the wire, while diameter would refer to the width of the wire itself.

4. Can the length and diameter of a wire be measured without cutting it?

Yes, the length and diameter of a wire can be measured without cutting it. This can be done by using a non-destructive testing method such as ultrasonic or laser measurement techniques. However, these methods may not be as accurate as physically measuring the wire.

5. How do you calculate the cross-sectional area of a wire?

The cross-sectional area of a wire can be calculated by using the formula A = πr^2, where A is the area and r is the radius of the wire. The radius can be found by dividing the diameter by 2. This calculation is important for determining the wire's resistance and other physical properties.

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