A 13-cm-long nichrome wire is connected across the terminals of a 1.5 V battery.

Question

A 13-cm-long nichrome wire is connected across the terminals of a 1.5 V battery.

Part A

What is the electric field inside the wire?

Express your answer to two significant figures and include the appropriate units.

Part B

What is the current density inside the wire?

Express your answer to two significant figures and include the appropriate units.

Part C

If the current in the wire is 1.0 A , what is the wire's diameter?

Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

A)
E = V/d
= 1.5 V / (0.13 m)
=12 V/m

B)
use:
E = J* rho
Resistivity of Nichrome, rho = 1.5*10^-6 ohm-m
E = J* rho
12 = J*( 1.5*10^-6 )
J=7.7*10^6 A/m^2

C)
J = I/A
7.7*10^6 = 1 / (pi*r^2)
r=2.03*10^-4 m

diameter = 2*r
= 4.1*10^-4 m
Answer: 4.1*10^-4 m

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