Question

The current I in an electrical conductor varies inversely as the resistance R of the conductor. The current is 2 amperes when the resistance is 770 ohms. What is the current when the resistance is 808 ohms? Round your answer to two decimal places if necessary.

Answer 1

1.9 amps hope it helps.

Answer 2

Answer: The value of the current is 1.91 A.

Explanation:

From the question, the current I in an electrical conductor varies inversely as the resistance R of the conductor.

The equation can be written as,

`I=(K)/(R)`

Here, K is the proportionality constant and R is the resistance.

It is given in the problem that the current is 2 amperes when the resistance is 770 ohms.

Calculate the value of K by using above expression.

Put I= 2 A and R= 770 ohm.

`2=(K)/(770)`

`K=1540`

Calculate the value of the resistance when R= 808 ohms.

`I=(K)/(R)`

Put K= 1540 and R= 808 ohms.

`I=(1540)/(808)`

`I=1.91 A`

Therefore, the value of the current is 1.91 A.