Answer :
Answer:
The current is 0.08 ampere.
Step-by-step explanation:
Given:
The current is 1/2 ampere when the resistance is 400 ohms.
Now, the current I in an electrical conductor varies inversely as the resistance R of the conductor.
So, as per formula [tex]I = \frac{k}{R}[/tex]
Solving for "k" using the current 1/2 amperes when the resistance is 400 ohms.
[tex]\frac{1}{2} = \frac{k}{400}[/tex]
By cross multiplication we get:
[tex]2k=400\\k=\frac{400}{2}=200[/tex]
Putting the value of [tex]k[/tex] for solving the equation:
[tex]I =\frac {200}{R}[/tex]
Now, the current when the resistance is 2500 ohms:
[tex]I = \frac{200}{2500}[/tex]
[tex]I = 0.08[/tex]
[tex]I = 0.08[/tex] ampere.
Therefore, the current is 0.08 ampere.