Question

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?

Answer 1

Answer:

6

Step-by-step explanation:

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

I =  $\frac{k}{R}$ ← k is the constant of variation

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

k = IR = 3 × 12 = 36

I = $\frac{36}{R}$ ← equation of variation

When I = 6, then

6 = $\frac{36}{R}$, hence

R = $\frac{36}{6}$ = 6