SOLUTION: In an electrical circuit, the current passing through a conductor varies inversely with the resistance. Suppose that when the current is 20 A (amperes), the resistance is 7

Algebra ->  Expressions-with-variables -> SOLUTION: In an electrical circuit, the current passing through a conductor varies inversely with the resistance. Suppose that when the current is 20 A (amperes), the resistance is 7       Log On


   



Question 1002666: In an electrical circuit, the current passing through a conductor varies inversely with the resistance. Suppose that when the current is
20 A
(amperes), the resistance is
7
ohms. What is the resistance when the current is
14 A
?

Found 2 solutions by Alan3354, fractalier:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
In an electrical circuit, the current passing through a conductor varies inversely with the resistance. Suppose that when the current is
20 A (amperes), the resistance is 7 ohms. What is the resistance when the current is 14 A ?
--------------
E = I*R
I = E/R
20 = E/7 --> E = 140 volts
-----
R = E/I = 140/14
R = 10 ohms
-------------
You don't have to know the voltage.
I = k/R (k is a constant)
k = I*R = 20*7 = 14*R
14R = 140
R = 10 ohms

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
We would write
(20 A)(7 ohms)=(14 A)(x ohms)
140 = 14x
x = 10 ohms
This is, of course, Ohm's Law.