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.

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.