A bulb is rated 60 W – 230 V. How much will be the current (in A) flowing through it, when connected to 115 V?
Question
A bulb is rated 60 W – 230 V. How much will be the current (in A) flowing through it, when connected to 115 V?
Solution
To find the current flowing through the bulb, we first need to find the resistance of the bulb. We can use the power formula:
P = V^2 / R
Where: P = power (60W) V = voltage (230V)
Rearranging the formula to find R gives us:
R = V^2 / P
Substituting the given values:
R = 230^2 / 60 ≈ 881.67 ohms
Now that we have the resistance, we can find the current using Ohm's law:
I = V / R
Where: I = current V = new voltage (115V) R = resistance (881.67 ohms)
Substituting the values:
I = 115 / 881.67 ≈ 0.13 A
So, the current flowing through the bulb when connected to 115V is approximately 0.13 A.
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