(i) A battery is attached to several different capacitors connected in parallel. Which of the following statements is true? (a) All capacitors have the same charge, and the equivalent capacitance is greater than the capacitance of any of the capacitors in the group, (b) The capacitor with the largest capacitance carries the smallest charge, (c) The potential difference across each capacitor is the same, and the equivalent capacitance is greater than any of the capacitors in the group. (d) The capacitor with the smallest capacitance carries the largest charge. (e) The potential differences across the capacitors are the same only if the capacitances are the same, ( ii ) The capacitors are reconnected in series, and the combination is again connected to the battery. From the same choices, choose the one that is true.
(i) A battery is attached to several different capacitors connected in parallel. Which of the following statements is true? (a) All capacitors have the same charge, and the equivalent capacitance is greater than the capacitance of any of the capacitors in the group, (b) The capacitor with the largest capacitance carries the smallest charge, (c) The potential difference across each capacitor is the same, and the equivalent capacitance is greater than any of the capacitors in the group. (d) The capacitor with the smallest capacitance carries the largest charge. (e) The potential differences across the capacitors are the same only if the capacitances are the same, ( ii ) The capacitors are reconnected in series, and the combination is again connected to the battery. From the same choices, choose the one that is true.
Solution Summary: The author explains that the potential difference across the capacitors is the same and the equivalent capacitance is greater than any other capacitor in the group.
(i) A battery is attached to several different capacitors connected in parallel. Which of the following statements is true? (a) All capacitors have the same charge, and the equivalent capacitance is greater than the capacitance of any of the capacitors in the group, (b) The capacitor with the largest capacitance carries the smallest charge, (c) The potential difference across each capacitor is the same, and the equivalent capacitance is greater than any of the capacitors in the group. (d) The capacitor with the smallest capacitance carries the largest charge. (e) The potential differences across the capacitors are the same only if the capacitances are the same, (ii) The capacitors are reconnected in series, and the combination is again connected to the battery. From the same choices, choose the one that is true.
A map from The Legend of Zelda: The Breath of the Wild shows that Zora's Domain is 7.55 km in a direction 25.0° north of east from Gerudo Town. The same map shows that the Korok Forest is 3.13 km in a direction 55.0° west of north from Zora's Domain. The figure below shows the location of these three places. Modeling Hyrule as flat, use this information to find the displacement from Gerudo Town to Korok Forest. What is the magnitude of the displacement? Find the angle of the displacement. Measure the angle in degrees north of east of Gerudo Town.
Race car driver is cruising down the street at a constant speed of 28.9 m/s (~65 mph; he has a “lead” foot) when the traffic light in front of him turns red. a) If the driver’s reaction time is 160 ms, how far does he and his car travel down the road from the instant he sees the light change to the instant he begins to slow down? b) If the driver’s combined reaction and movement time is 750 ms, how far do he and his car travel down the road from the instant he sees the light change to the instant he slams on her brakes and car begins to slow down? c) If the driver’s average rate of acceleration is -9.5 m/s2 as he slows down, how long does it take him to come to a stop (use information about his speed of 28.9 m/s but do NOT use his reaction and movement time in this computation)? Please answer parts a-c. Show all work. For each question draw a diagram to show the vector/s. Show all the step and provide units in the answers. Provide answer to 2 decimal places unless stated otherwise.
Below you will find 100 m split times for the American and France men’s 4x100 meter free style relay race during the 2008 Beijing Summer Olympics). Answer questions a-d. a) What was the total race time for each team, in seconds? b) Which team won the race? What was the difference in the teams’ times? c) What was the average speed for each team for the whole race? (provide answer to 3 decimal places). d) Calculate the average speed for each swimmer and report the results in a table like the one above. Remember to show the calculation steps. (provide answer to 3 decimal places). PLEASE SHOW ALL WORK AND STEPS.
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