Answer: The value of the current is 1.91 A.
Step-by-step 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,
[tex]I=\frac{K}{R}[/tex]
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.
[tex]2=\frac{K}{770}[/tex]
[tex]K=1540[/tex]
Calculate the value of the resistance when R= 808 ohms.
[tex]I=\frac{K}{R}[/tex]
Put K= 1540 and R= 808 ohms.
[tex]I=\frac{1540}{808}[/tex]
[tex]I=1.91 A[/tex]
Therefore, the value of the current is 1.91 A.