Question

The current I in an electrical conductor varies inversely as the resistance R of the conductor. The current is 1/2 ampere when the resistance is 400 ohms. What is the current when the resistance is 2500 ​ohms?

Answer 1

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  $I = \frac{k}{R}$

Solving for "k" using the current  1/2 amperes when the resistance is 400 ohms.

$\frac{1}{2} = \frac{k}{400}$

By cross multiplication we get:

$2k=400\\k=\frac{400}{2}=200$

Putting the value of $k$ for solving the equation:

$I =\frac {200}{R}$

Now, the current when the resistance is 2500 ohms:

$I = \frac{200}{2500}$

$I = 0.08$

$I = 0.08$ ampere.

Therefore, the current is 0.08 ampere.