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,
\(I=\frac{K}{R}\)
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.
\(2=\frac{K}{770}\)
\(K=1540\)
Calculate the value of the resistance when R= 808 ohms.
\(I=\frac{K}{R}\)
Put K= 1540 and R= 808 ohms.
\(I=\frac{1540}{808}\)
\(I=1.91 A\)
Therefore, the value of the current is 1.91 A.
