Final answer:
To find the duration of the spark, you divide the charge (0.000300 C after converting from mC) by the current (200 A), yielding a time of 1.5 × 10^-6 s, which is 1.5 microseconds. This time is not listed in the options, indicating a potential error in the question's values.
Step-by-step explanation:
To determine how long the spark lasts in a spark plug when a 200-A current moves 0.300 mC of charge, we use the relationship between charge (Q), current (I), and time (t), given by the equation:
Q = I × t
Where:
- Q is the charge in coulombs (C)
- I is the current in amperes (A)
- t is the time in seconds (s)
First, convert 0.300 mC to coulombs:
0.300 mC = 0.300 × 10-3 C = 0.000300 C
Then, rearrange the equation to solve for t:
t = Q / I
Substitute the known values into the equation:
t = 0.000300 C / 200 A
t = 0.0000015 s or 1.5 × 10-6 s
Therefore, the correct answer is:
t = 1.5 × 10-6 s, which is equivalent to 1.5 microseconds.
This duration is too short compared to the options provided in the question, which suggests there may be a misunderstanding or typo. Please double-check the question's values and units.