Question

A cylindrical wire has a resistance 4 Ω and resistivity of 4 × 10-8 Ω • m . If its length and diameter are BOTH cut in half, what will be its resistance? A) 0.008 kΩ B) 0.05 kΩ C) 0.006 kΩ D) 0.002 kΩ E) 0.004 kΩ

Name: a cylindrical wire has a resistance 4 and resistivity of 4 10 8 m if its length and diameter are both cut in half what will be its resistance a 0008 k b 005 k c 0006 k d 0002 k e 0004 k 56854
Uploaded: 2023-09-11T16:59:53-08:00
Duration: 2 min 18 s
Channel: Adi S
Description: a cylindrical wire has a resistance 4 and resistivity of 4 10 8 m if its length and diameter are both cut in half what will be its resistance a 0008 k b 005 k c 0006 k d 0002 k e 0004 k 56854

          A cylindrical wire has a resistance 4 Ω and resistivity of 4 × 10-8 Ω • m . If its length and diameter are BOTH cut in half, what will be its resistance?
A) 0.008 kΩ
B) 0.05 kΩ
C) 0.006 kΩ
D) 0.002 kΩ
E) 0.004 kΩ

Added by Tyrone B.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

09/11/2023

Step 1

We know that R = 4 Ω and ρ = 4 × 10-8 Ω • m. We also know that if the length and diameter are both cut in half, the new length will be L/2 and the new diameter will be D/2. Since the wire is cylindrical, the cross-sectional area is proportional to the square of Show more…

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A cylindrical wire has a resistance 4 Ω and resistivity of 4 × 10-8 Ω • m . If its length and diameter are BOTH cut in half, what will be its resistance? A) 0.008 kΩ B) 0.05 kΩ C) 0.006 kΩ D) 0.002 kΩ E) 0.004 kΩ