Explanation:
The current will increase if the resistance is decreased and the voltage is kept constant. This is clearly seen from the mathematical relationship itself.
[tex]I=\frac{V}{R}..............(1)[/tex]
This mathematical representation means that current I is inversely proportional to resistance R as long as V remains constant. By interpretation, if R increases I will decrease and vice-versa.
Let us assume a constant value of V = 5V and plug in different values of R, say R = 10, 5, 2 and 1 Ohms.
When R = 10 Ohm
[tex]I=\frac{5}{10}=0.5A[/tex]
When R = 5 Ohms
[tex]I=\frac{5}{5}=1A[/tex]
When R = 2 Ohms
[tex]I=\frac{5}{2}=2.5A[/tex]
When R = 1 Ohm
[tex]I=\frac{5}{1}=5A[/tex]
It will be observed that as resistance decreases, current increases.
