The number you are looking for is 995
The electrical resistance of a wire varies as its length and inversely as the square of the diameter.
R = (k*L)/(d^2)
where k = proportionality constant
Since the two wires have the same material, their proportionality constant is same.
Equating that
(R1*d1^2)/L1 = (R2*d2^2)/L2
Given that R1 = 10 ohms, d1 = 1.2 mm or 0.0012 m, L1 = 18 m, d2 = 1.5 mm or 0.0015 m, L2 = 27 m, and R2 is unknown.
Therefore
[10*(0.0012^2)]/18 = [R2*(0.0015^2)]/27
R2 = 9.6 ohms
Solve the lower equation first
+12 on each side
7x=51
divide by 7
x=51/7
then use that to solve the upper equation
Answer:
<h2><em><u>X = 28</u></em></h2>
Step-by-step explanation:
14 × 2 = X
=> <em><u>28 = X (Ans)</u></em>