Question

The current I in an electrical conductor varies inversely as the resistance R of the conductor. The current is amperes when the resistance is ohms. What is the current when the resistance is ​ohms?

Answer 1

Answer:

$\mathbf{I = 0.22 \ amperes}$

Step-by-step explanation:

From above:

let assume that;

The current is $\dfrac{1}{2}$ ampere when resistance is 240 ohms.

Now, to find the current when R = 540 ohms.

SO; if $I \ \alpha \ \dfrac{1}{R}$

$I \ =\ \dfrac{k}{R}$ where k = constant

$\dfrac{1}{2} \ =\ \dfrac{k}{240}$

$2k = 240$

$k = \dfrac{240}{2}$

$k = 120$

Thus; the constant = 120

So; when R = 540 ohms

then the current will be:

$I = \dfrac{k}{R}$

$I = \dfrac{120}{540}$

$\mathbf{I = 0.22 \ amperes}$