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
?
the resistance is 1
V = I * R = 20 * 7 = 140 Volts.
R = V/I = 140/14 = 10 Ohms.
To solve this problem, we need to use the concept of inverse variation. Inverse variation is a relationship where one variable increases while the other variable decreases at a constant rate. In this case, we are given that the current passing through a conductor varies inversely with the resistance.
Let's denote the current as I and the resistance as R. We can express this relationship mathematically as:
I = k/R
Where k is the constant of variation. In this case, we are given that when the current is 20 A, the resistance is 7 ohms. We can use this information to find the value of k:
20 = k/7
To find k, we can multiply both sides of the equation by 7:
20 * 7 = k
140 = k
Now that we have the value of k, we can use it to find the resistance when the current is 14 A. We can rearrange the equation:
I = k/R
To solve for R:
R = k/I
Substituting the given values:
R = 140/14
Simplifying:
R = 10 ohms
Therefore, when the current is 14 A, the resistance is 10 ohms.