Answer :
Answer: l ength of wire =842.37m
Explanation:
Given that
Power generated, P= 303W
Voltage used, V = 114V
we will calculate the resistance of the wire first,
The resistance of the wire will be calculated from the equation
P= V²/R
R= V²/P = (114)²/303= 42.89ohm
Also Resistance = resistivity x length/ cross sectonal area
R=[tex]\frac{\rho l}{A}[/tex]
where ρ= resistivity of platinum =10.6 x 10^-8ohm meter
diameter platinum wire used, d = 1.628mm = 0.001628m
Therefore radius,= d/2 = 0.001628m/ 2=0.000814m
length of wire= R x A/ ρ
= R X π r²/ρ
L= 42.89 x 3.142 x(0.000814)²/10.6 x 10^-8ohm meter
=842.37m