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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.

Sagot :

Jahida
1.9 amps hope it helps.

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.

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