BasicB-005-006-009
What is the power consumption of two 10-ohm resistors connected in series with a 10-volt battery?
D
Answer
Transmitters, receivers, and measurements
Type
A
0.5 watts
B
20 watts
C
2 watts
D
5 watts
Answer Notes
First, determine the total resistance of the circuit. When two 10-ohm resistors are connected in series, you simply add their values together, resulting in a total resistance of 20 ohms.
Next, use the power formula that relates voltage and resistance: P = E^2 / R (Power equals Voltage squared divided by Resistance). Squaring the 10-volt battery voltage gives you 100.
Finally, divide 100 by the total resistance of 20 ohms to find the total power consumption, which equals 5 watts. Distractors like 0.5 appear if you calculate current (10 / 20) and mistakenly assume that value is the power.
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