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What is the relationship between resistance and area of A wire?

What is the relationship between resistance and area of A wire?

The relationship between resistance and the area of the cross section of a wire is inversely proportional . When resistance is increased in a circuit , for example by adding more electrical components , the current decreases as a result.

How is resistance related to area?

Resistance is proportional to resistivity and length, and inversely proportional to cross sectional area.

What is the formula for resistance of A wire?

Specific Resistance (”ρ”) is a property of any conductive material, a figure used to determine the end-to-end resistance of a conductor given length and area in this formula: R = ρl/A.

What is relation between R and L?

R=ρLA.

What is resistivity equation?

Resistivity, commonly symbolized by the Greek letter rho, ρ, is quantitatively equal to the resistance R of a specimen such as a wire, multiplied by its cross-sectional area A, and divided by its length l; ρ = RA/l. The unit of resistance is the ohm.

What is relationship between resistance and diameter?

As we know that resistance of a wire is inversely proportional to the square of its diameter. Thus when the diameter of a wire is doubled (made 2 times), its resistance becomes one-fourth (1/4), and if the diameter of a wire is halved (made 1/2), then its resistance becomes four times (4 times).

What is dimensional formula of resistance?

Derivation of Resistance Dimension Therefore, the resistance is dimensionally written as M L2 T-3 I-2.

How much resistance is in a wire?

Common Wire Gauges

AWG wire size (solid) Diameter (inches) Resistance per 1000 ft (ohms)
16 0.0508 4.016
14 0.0640 2.525
12 0.0808 1.588
10 0.1019 0.999

What is the resistance of a wire?

The ohm is the common unit of electrical resistance, equivalent to one volt per ampere and represented by the capital Greek letter omega, Ω. The resistance of a wire is directly proportional to its length and inversely proportional to its cross-sectional area. Resistance also depends on the material of the conductor.

How do you calculate the resistance of a wire?

The resistance of a wire is given by the equation: R = ρ x l/A. Where R is resistance, ρ (pronounced ‘rho’) is the resistivity of the wire, l is length and A is its cross-sectional area.

What is the equation for the resistance of a wire?

The following equation is used to calculate the resistance of a wire. R = ρ * L / A Where R is the resistance in Ohms ρ is the resistivity of the material the wire is made of.

What kind of wire has the most resistance?

Types. Nichrome, a non-magnetic 80/20 alloy of nickel and chromium, is the most common resistance wire for heating purposes because it has a high resistivity and resistance to oxidation at high temperatures. When used as a heating element, resistance wire is usually wound into coils.

How is the resistance of a wire determined?

The resistance of a wire is determined by the material, length and cross-section of the wire. You can calculate the resistance of a wire with the calculator below or calculate it yourself with the formulas. R is the symbol for resistance and is measured in ohm (Ω).