The current in a circuit varies inversely as the resistance the current is 21 Ampres when the resistance is 5 ohms find the current for existence of 20 Ohms
I/R = k, which is constant, so you want I such that
I/20 = 21/5
To find the current for a resistance of 20 ohms, we can use the information given in the problem statement.
First, let's establish the relationship between current (I) and resistance (R) using the concept of inverse variation. Inverse variation means that as one quantity increases, the other decreases in a proportional manner.
Mathematically, the inverse variation equation can be expressed as:
I = k/R
where I represents the current, R represents the resistance, and k is a constant.
To determine the value of k, we can use the given information that the current is 21 Amperes when the resistance is 5 ohms:
21 = k/5
To solve for k, we can cross multiply:
21 * 5 = k
105 = k
Now, we have the value of k. We can use it to find the current for a resistance of 20 ohms:
I = 105/20
Simplifying this equation gives:
I = 5.25 Amperes
Therefore, the current for a resistance of 20 ohms is 5.25 Amperes.