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The current (I) in an electrical conductor varies inversely as the resistance (R) of the conductor. The current is 6 amperes when the resistance is 722 ohms. What is the current when the resistance is 768 ohms? Round your answer to two decimal places if necessary.

Verified Answer :

Giovi

Basically, this is Ohm's Law:
V=RI where V is the tension in volts;
You have that V=722×6=4332 Volts
Using this value for V you have that:
4332=768×I
So I=5.64 A

Answer:

The current is 5.64 Ampere when resistance is  768 ohms .

Step-by-step explanation:

As given

The current (I) in an electrical conductor varies inversely as the resistance (R) of the conductor.

Thus

\(I \propto \frac{1}{R}\)

\(I=\frac{k}{R}\)

Where k is the constant of proportionality .

The current is 6 amperes when the resistance is 722 ohms.

I = 6 amperes

R = 722 ohms

Put all the values in the formula

\(6=\frac{k}{722}\)

k = 6 × 722

k = 4332

As given

when the resistance is 768 ohms .

R = 768 ohms

K = 4332

Put in the formula \(I=\frac{k}{R}\) .

\(I=\frac{4332}{768}\)

I = 5.64 Ampere

Therefore the current is 5.64 Ampere when resistance is  768 ohms .

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