A lamp has a source voltage of 110 volts and a current of 0.9 amps. What is the hot resistance of the lamp filament?
• Use Ohm's Law relationship between voltage (V), current (I), and resistance (R) • Pay attention to units: volts (V), amps (A), ohms (Ω) • Think about what is a reasonable resistance value for a 110 V lamp carrying less than 1 amp
• Which form of Ohm’s Law lets you solve for resistance when you know voltage and current? • If you divide 110 by a number slightly less than 1, should the result be slightly more or less than 110? Use that to estimate which choice is reasonable. • Compare your calculated resistance with each choice: which ones are clearly too small to allow only 0.9 A at 110 V?
• Write the correct formula for resistance: R = V / I or rearranged properly from Ohm’s Law. • Do the division carefully and keep at least two decimal places in your intermediate result. • Check that your final resistance is in ohms (Ω) and that its size makes physical sense for a household-type lamp.
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