A gold wire 5.44 m long and of diameter 0.840 mm carries a current of 1.25 A . a. Find the resistance of this wire. Express your answer in ohms. b. Find the potential difference between its ends.

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2022-08-21

A gold wire 5.44 m long and of diameter 0.840 mm carries a current of 1.25 A .
a.
Find the resistance of this wire.
Express your answer in ohms.
b.
Find the potential difference between its ends.
Express your answer in volts.

Answer & Explanation

Bryanna Villarreal

Bryanna Villarreal

Beginner2022-08-22Added 5 answers

Solution:
Resistivity of gold is 0.022 mm
lenght=5.44 m
diameter = 0.84 × 10 3 m m
area = π [ 0.84 × 10 3 2 ] 2
a) Resistance = ρ l A = 0.022 × 5.44 ( 0.84 × 10 3 2 ) 2
R = 0.1197 0.5534 × 10 6 = 0.216 × 10 6 n
b) Potential difference V=IR
= 1.25 × 0.216 × 10 6
= 0.27 × 10 6   V
V = 0.27 × 10 6   V

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