An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (2)
Jakarta: Time difference is -1 hour. When it's 5:15 AM Monday in the Philippines, it's 4:15 AM Monday in Jakarta. When it's 11:00 PM Friday in the Philippines, it's 10:00 PM Friday in Jakarta.
Melbourne: Time difference is 2 hours. When it's 5:15 AM Monday in the Philippines, it's 7:15 AM Monday in Melbourne. When it's 11:00 PM Friday in the Philippines, it's 1:00 AM Saturday in Melbourne.
Caracas: Time difference is -12 hours. When it's 5:15 AM Monday in the Philippines, it's 5:15 PM Sunday in Caracas. When it's 11:00 PM Friday in the Philippines, it's 11:00 AM Friday in Caracas.
Shanghai: Time difference is 0 hours. When it's 5:15 AM Monday in the Philippines, it's 5:15 AM Monday in Shanghai. When it's 11:00 PM Friday in the Philippines, it's 11:00 PM Friday in Shanghai.
Paris: Time difference is -6 hours. When it's 5:15 AM Monday in the Philippines, it's 11:15 PM Sunday in Paris. When it's 11:00 PM Friday in the Philippines, it's 5:00 PM Friday in Paris.
The completed table provides the time differences and equivalent times for each city. The time differences relative to PH are: Jakarta (-1 hour), Melbourne (2 hours), Caracas (-12 hours), Shanghai (0 hours), and Paris (-6 hours). The equivalent times are calculated accordingly.
Explanation
Problem Analysis Let's analyze the given table and fill in the missing information. We need to calculate the time differences relative to the Philippines (PH) and determine the corresponding times in different cities when it's 5:15 AM Monday and 11:00 PM Friday in the Philippines.
Determining Time Differences First, we need to determine the UTC offset for the Philippines. The Philippines observes Philippine Standard Time (PST), which is UTC+8. Now we can calculate the time differences for each city relative to the Philippines.
Calculating Time Differences Jakarta, Indonesia: UTC+7. Time difference = 7 - 8 = -1 hour. Melbourne, Australia: UTC+10. Time difference = 10 - 8 = 2 hours. Caracas, Venezuela: UTC-4. Time difference = -4 - 8 = -12 hours. Shanghai, China: UTC+8. Time difference = 8 - 8 = 0 hours. Paris, France: UTC+2. Time difference = 2 - 8 = -6 hours.
Calculating Equivalent Times (5:15 AM Monday in PH) Now, let's determine the equivalent times in each city when it is 5:15 AM Monday in the Philippines.
Jakarta: 5:15 AM - 1 hour = 4:15 AM Monday. Melbourne: 5:15 AM + 2 hours = 7:15 AM Monday. Caracas: 5:15 AM - 12 hours = 5:15 PM Sunday. Shanghai: 5:15 AM + 0 hours = 5:15 AM Monday. Paris: 5:15 AM - 6 hours = 11:15 PM Sunday.
Calculating Equivalent Times (11:00 PM Friday in PH) Next, let's determine the equivalent times in each city when it is 11:00 PM Friday in the Philippines.
Jakarta: 11:00 PM - 1 hour = 10:00 PM Friday. Melbourne: 11:00 PM + 2 hours = 1:00 AM Saturday. Caracas: 11:00 PM - 12 hours = 11:00 AM Friday. Shanghai: 11:00 PM + 0 hours = 11:00 PM Friday. Paris: 11:00 PM - 6 hours = 5:00 PM Friday.
Completed Table Here's the completed table:
Country/City
UTC
Time Difference relative to PH
If it is 5:15 AM on Monday in the Philippines, what time and day is it in?
If it is 11:00 PM on Friday in the Philippines, what time and day is it in?
Jakarta, Indonesia
07:00
-1 hour
4:15 AM Monday
10:00 PM Friday
Melbourne, Australia
10:00
2 hours
7:15 AM Monday
1:00 AM Saturday
Caracas, Venezuela
-04:00
-12 hours
5:15 PM Sunday
11:00 AM Friday
Shanghai, China
08:00
0 hours
5:15 AM Monday
11:00 PM Friday
Paris, France
02:00
-6 hours
11:15 PM Sunday
5:00 PM Friday
Examples
Understanding time zone differences is crucial for international communication, travel planning, and coordinating global business operations. For instance, if a company in the Philippines needs to schedule a meeting with colleagues in New York, they need to account for the 12-13 hour time difference to find a convenient time for everyone. Similarly, knowing the time difference helps travelers adjust to jet lag and plan their activities accordingly. These calculations ensure smooth interactions and prevent scheduling conflicts across different time zones.
A device delivering a current of 15.0 A for 30 seconds allows approximately 2.81 x 10^21 electrons to flow through it. This is calculated by first determining the total charge using the current and time, followed by dividing the total charge by the charge of a single electron. Thus, a significant number of electrons flow through the circuit in this time period.
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