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A potential difference of 13 V is found to produce a current of 0.40 A in a 2.6 m length of wire with a uniform radius of 0.36 cm. Find the following values for the wire. (a) the resistance   32.5 (b) the resistivity ·m

A potential difference of 13 V is found to produce a current of 0.40 A in a 2.6 m length of wire with a uniform radius of 0.36 cm. Find the following values for the wire. (a) the resistance   32.5 (b) the resistivity ·m

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A potential difference of 13 V is found to produce a current of 0.40 A in a 2.6 m length of wire with a uniform radius of 0.36 cm. Find the following values for the wire.

(a) the resistance
  32.5
(b) the resistivity
·m
Expert Solution
Step 1: (a)

Given data, 

Potential difference: 13 V

Current Produced: 0.4 A

length of wire l = 2.6 m

Cross sectional area A = πr2

radius of wire r = 0.36 cm = 0.0036 m 

Formula used:

R=∆V⌶where, R is the resistance ∆V is the potential difference⌶ is the current produced

Putting the values in the formula we get, 

R=130.4=32.5 ohmR=32.5 ohm

 

 

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