Question

Why is the following situation impossible? An inquisitive physics student takes a 100-W lightbulb out of its socket and measures its resistance with an ohmmeter. He measures a value of 10.5 ω . He is able to connect an ammeter to the lightbulb socket to correctly measure the current drawn by the bulb while operating. Inserting the bulb back into the socket and operating the bulb from a 120-V source, he measures the current to be 11.4A.

Answer 1

The solution is impossible because when the apply the right equation for electrical power, the current obtained is 0.83 A and not 11.4 A

What is power?

This is defined as the rate in which energy is consumed. Electrical power is expressed mathematically as:

Power (P) = voltage (V) × current (I)

P = IV

With above formula, we can obtain the current drawn by the bulb. Details below

How to determine the current flowing in the circuit

From the question given, the following data were obtained:

• Power (P) = 100 W
• Voltage (V) = 120 V
• Current (I) =?

P = IV

Divide both sides by V

I = P / V

I = 100 / 120

I = 0.83 A

Thus, we can see that the current drawn by the bulb is 0.83 A and not 11.4 A

From the above, we can see clearly why the inquisitive physics student' calculation is wrong.

Learn more about electrical power:

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