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The current l, in a circuit varies inversely with the resistance, R. If the resistance is 12 when the current is 3, what is the resistance when the current is 6?

Respuesta :

Answer:

6

Step-by-step explanation:

Given I varies inversely with R then the equation relating them is

I =  [tex]\frac{k}{R}[/tex] ← k is the constant of variation

To find k use the condition R = 12 when I = 3

k = IR = 3 × 12 = 36

I = [tex]\frac{36}{R}[/tex] ← equation of variation

When I = 6, then

6 = [tex]\frac{36}{R}[/tex], hence

R = [tex]\frac{36}{6}[/tex] = 6