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

Question

2 years ago

13

resistance when the current is 6?

1 answer:

ivolga24 [154] · Answer 1 · 2022-03-25T15:38:27+03:00

4 0

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