A wire made of material A has a resistivity of 1.5 x 10^-8 Ω·m, while material B has a resistivity of 3.0 x 10^-8 Ω·m. If both wires have the same dimensions, which wire will have a higher resistance?
Practice Questions
1 question
Q1
A wire made of material A has a resistivity of 1.5 x 10^-8 Ω·m, while material B has a resistivity of 3.0 x 10^-8 Ω·m. If both wires have the same dimensions, which wire will have a higher resistance?
Wire A
Wire B
Both have the same resistance
Cannot be determined
Resistance is directly proportional to resistivity; hence, wire B with higher resistivity will have higher resistance.
Questions & Step-by-step Solutions
1 item
Q
Q: A wire made of material A has a resistivity of 1.5 x 10^-8 Ω·m, while material B has a resistivity of 3.0 x 10^-8 Ω·m. If both wires have the same dimensions, which wire will have a higher resistance?
Solution: Resistance is directly proportional to resistivity; hence, wire B with higher resistivity will have higher resistance.
Steps: 5
Step 1: Understand what resistivity means. It is a property of a material that affects how much it resists the flow of electric current.
Step 2: Note the resistivity values given: Material A has a resistivity of 1.5 x 10^-8 Ω·m and Material B has a resistivity of 3.0 x 10^-8 Ω·m.
Step 3: Recognize that higher resistivity means higher resistance when the dimensions (length and cross-sectional area) of the wires are the same.
Step 4: Compare the resistivity values. Since 3.0 x 10^-8 is greater than 1.5 x 10^-8, Material B has higher resistivity than Material A.
Step 5: Conclude that since Material B has higher resistivity, it will also have higher resistance than Material A.
