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

`\mathbf{I = 0.22 \ amperes}`

Explanation:

From above:

let assume that;

The current is
`(1)/(2)` ampere when resistance is 240 ohms.

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

SO; if
`I \ \alpha \ (1)/(R)`

`I \ =\ (k)/(R)` where k = constant

`(1)/(2) \ =\ (k)/(240)`

`2k = 240`

`k = (240)/(2)`

`k = 120`

Thus; the constant = 120

So; when R = 540 ohms

then the current will be:

`I = (k)/(R)`

`I = (120)/(540)`

`\mathbf{I = 0.22 \ amperes}`