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Q: A wire of uniform cross section and length L has a resistance of 16ohm It is cut into four equal parts Each part is stretched uniformly to length L and all the four stretched parts are connected in?
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A piece of wire is stretched such that its length increases and its radius decreases the resistance of the wire will tend to?

A piece of wire stretched such that its length increases and its radius decreases will tend to have its resistance increase. The formula for this is: R = ρL/A where ρ = resistivity of the material composing the wire, L = length of the wire, and A = area of the conducting cross section of the wire. It can easily be seen that as area decreases resistance gets higher. In the case proposed the wire length is not reduced as it is stretched to reduce the area, this increases the resistivity as well.


A wire with a resistance R is lengthend to 1.25 times its original length by being pulled through a small holefind the resistance of the wire after it has been stretched?

The resistance of a material is defined as: R = r * l / A where r (actually it is the Greek alphabet rho) is the specific resistance and is independent of shape, structure, etc, but is specific to the material only; l is the length and A is the area of cross section. Let R1 = r * (l1/A1) and after stretching it becomes R2 = r * (l2/A2) R2/R1 = (l2/l1)*(A1/A2) -------------------------- equation 1 If the wire has been stretched with no loss of material, the volume remains the same. Hence, l1A1 = l2A2 which gives A1 = A2*(l2/l1). given that (l2/l1) is 1.25, we get A1/A2 = 1.25 Using this value in equation 1, we get R2/R1 = 1.25 * 1.25 = 1.5625 Hence, the resistance of the wire increases by a factor of 1.5625. - Karthik


How does a wire's cross section affect resistance?

A wire with a larger cross section has lower resistance because there is more space for the electrons to flow through, reducing collisions. A smaller cross section increases resistance as there is less space for the electrons to move, causing more collisions and therefore higher resistance.


What are mathematical relationship between resistance and specificconductivity constant?

Cell constant(C) = Resistance(R) X Specific Conductivity(K)


What are the rules for electricity resistance?

Resistance of a conductor is defined by the specific resistivity, area of cross section and the length of the conductor. R = rL/A, where R is resistance in OHMs, r is specific resistance, L length in mm, A is area of cross section in sq mm


How do you work out resistance with voltage and joules?

Resistance of a conductor is defined by the specific resistivity, area of cross section and the length of the conductor. R = rL/A, where R is resistance in OHMs, r is specific resistance, L length in mm, A is area of cross section in sq mm


How would resistance depend on cross section and length of the material?

Resistance R =p(L /A)i,e Resistance(R) of a conductor will be directly proportional to its length(L) ==> if the length of the conductor increases its resistance also will increase.i,e Resistance(R) of a conductor is inversely proportional to its cross section area(A) ==> if the Area of the conductor increases its resistance also will decrease.


Do resistivity depend upon area of crosss-section?

No. Resistance does.


How does an object length affect its electrical resistance?

As the length of an object increases, its electrical resistance also increases. This is because a longer object provides more path for the electrons to travel through, resulting in more collisions and a higher resistance to the flow of current. The relationship between length and resistance is directly proportional according to the formula R = ρ * (L/A), where R is resistance, ρ is resistivity, L is length, and A is cross-sectional area.


How does thickness of a wire affect resistance?

Resistance is inversely proportional to cross-sectional area. so ,if the thickness of the wire increases, the area of cross-section increases and this results in decrease of the resistance. The resistance R = l p / A where R is the resistance, l is the length of the wire, p(rho) is the electrical resistivity of the material and A is the area of cross section. So R the resistance is inversely proportional to A the area of cross-section. If R increases


Air resistance depends on what?

The amount of air resistance an object has depends on it's shape and it's frontal cross-section.


Which conditions make resistance small?

The resistance of a wire is the length divided by the cross-section area and the conductivity of the material. So for small resistance you need a wire with short length, large cross-section area (diameter) and a material with high conductivity like copper.