Two cylindrical wires, 1 and 2 , made of the same material,...

Name: Problem 3, Chapter 25: University Physics with Modern Physics
Uploaded: 2021-05-12T06:30:45-08:00
Duration: 1 min 28 s
Channel: Shahab Ullah
Description: Two cylindrical wires, 1 and 2 , made of the same material, have the same resistance. If the length of wire 2 is twice that of wire 1, what is the ratio of their cross-sectional areas, A1 and A2 ? a) A1 / A2=2 c) A1 / A2=0.5 b) A1 / A2=4 d) A1 / A2=0.25

Two cylindrical wires, 1 and 2 , made of the same material, have the same resistance. If the length of wire 2 is twice that of wire $1,$ what is the ratio of their cross-sectional areas, $A_{1}$ and $A_{2} ?$ a) $A_{1} / A_{2}=2$ c) $A_{1} / A_{2}=0.5$ b) $A_{1} / A_{2}=4$ d) $A_{1} / A_{2}=0.25$

Two cylindrical wires, 1 and 2 , made of the same material, have the same resistance. If the length of wire 2 is twice that of wire $1,$ what is the ratio of their cross-sectional areas, $A_{1}$ and $A_{2} ?$
a) $A_{1} / A_{2}=2$
c) $A_{1} / A_{2}=0.5$
b) $A_{1} / A_{2}=4$
d) $A_{1} / A_{2}=0.25$

Shahab Ullah and 88 other subject Physics 102 Electricity and Magnetism educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Resistivity

Resistivity is an intrinsic property of a material that quantifies how strongly the material opposes the flow of electric current. When comparing electrical conductors made of the same material, the resistivity is constant, making it simpler to analyze how their geometric differences affect resistance.

Resistance Formula

The electrical resistance of a conductor is given by the formula R = ?L/A, where R is the resistance, ? is the resistivity, L is the length, and A is the cross-sectional area. This formula shows that resistance increases with length and decreases with a larger cross-sectional area.

Proportional Relationships in Conductor Geometry

When two wires made of the same material have identical resistance, their lengths and cross-sectional areas are interrelated as described by the resistance formula. Setting the resistances equal allows one to derive relationships between the lengths and areas, such as determining the ratio of areas required when one wire is longer than the other.

Transcript

Please give Ace some feedback