the current in an electrical conductor varies inversely
as the resistance of the
conductor. If the current is 12 ampere when the resistance is
240 ohms, what
is the current when the resistance is 540 ohms
I = (240/540) * 12
Okb
To solve this problem, we can use the inverse variation formula:
Current = k / Resistance
where k is the constant of variation.
We are given that when the current is 12 amperes, the resistance is 240 ohms. We can use this information to find the value of k:
12 = k / 240
To find k, we can multiply both sides of the equation by 240:
k = 12 * 240
k = 2880
Now that we know the value of k, we can find the current when the resistance is 540 ohms:
Current = k / Resistance
Current = 2880 / 540
Current = 5.33 amperes
Therefore, the current when the resistance is 540 ohms is approximately 5.33 amperes.
To solve this problem, we can use the formula for inverse variation:
Current = k / Resistance
where k is the constant of variation.
Step 1: Find the value of k.
We can find the value of k by plugging in the given values into the formula:
12 = k / 240
To solve for k, we can multiply both sides of the equation by 240:
12 * 240 = k
k = 2880
Step 2: Use the value of k to find the current when the resistance is 540 ohms.
Now that we have the value of k, we can plug it into the formula:
Current = 2880 / 540
Simplifying this expression:
Current = 5.33 amperes
Therefore, the current when the resistance is 540 ohms is approximately 5.33 amperes.