Question

The filament in an incandescent light bulb is made from tungsten (resistivity 5.6 x 10-8 Ù·m). The light bulb is plugged into a 120-V outlet and draws a current of 2.36 A. If the radius of the tungsten wire is 0.00464 mm, how long must the wire be?
restivity of the wire = 5.6 x 10-8 Ù·m

the cross sectional area (in m^2) of the wire is

A=pi x (5.6 x 10-8)^2 =2304
so the resistamce per metre is

P/A (units ohm/m)

if the bulb draws 2.36A from 120 V then the resistance, R, is

R=120/2.36
= 50.84745766

so the length of wire is

R/(P/A)=RA/P

Answer 1

am I on the right path, sorry 5 hrs of this is getting to me lol

restivity of the wire = 5.6 x 10-8 Ù·m

the cross sectional area (in m^2) of the wire is

A=pi x (0.00464)^2 = 0.0000215296
so the resistamce per metre is

P/A (units ohm/m)

if the bulb draws 2.36A from 120 V then the resistance, R, is

R=120/2.36
= 50.84745766

so the length of wire is

50.84745766/(0.000000056)=50.84745766*0.0000215296/P
907990315.357=0.00109472542/P
=

Answer 2

R=pL/A
R is resistance
P is resistivity
L is length
A is area