Fig. 3.8 shows a lamp connected to a battery. The ammeter reads 3.2 A. The lamp is on for 2 minutes and 30 seconds. What is the total charge that flows thro...
Question 1 Report
Fig. 3.8 shows a lamp connected to a battery. The ammeter reads 3.2 A. The lamp is on for 2 minutes and 30 seconds.
What is the total charge that flows through the lamp?
Answer Details
Charge is calculated using \( Q = I \times t \). The current is 3.2 A. The time must be converted entirely to seconds: 2 minutes and 30 seconds = \( 2 \times 60 + 30 = 150 \, \text{s} \).
\[ Q = 3.2 \times 150 = 480 \, \text{C} \]
A common error is to forget to convert the time fully to seconds. Using 2 minutes as 120 s (and ignoring the extra 30 s) gives \( 3.2 \times 120 = 384 \, \text{C} \). Using just 30 s gives \( 3.2 \times 30 = 96 \, \text{C} \). Always convert the entire time to seconds before substituting into the equation.
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