Question

Question 4 (18 marks) (a) During a Physics Lab experiment, 1 st year SFY students analyzed the behavior of capacitors by connecting two capacitors to power sources. In one part of the lab activities, students connected a 2.50 µF capacitor to a 746 V power source, whilst connected a second 6.80 µF capacitor to a 562 V source. Once these capacitors are charged, they are then removed from the power sources and are interconnected by connecting the two positive plates (of the capacitors) together, and the two negative plates together. Determine the potential difference and charge across EACH capacitor. (12 marks) (b) In the second part of the lab activities, students charged another capacitor () using a 165 V source. Once charged, the capacitor was then removed from removed from the source and then connected to another capacitor () which was initially uncharged. If the students measured the final potential difference across each capacitor to be 15V, determine the value of (). (6 marks)

Answer 1

1.) 274.5v

2.) 206.8v

Step-by-step explanation:

1.) Given that In one part of the lab activities, students connected a 2.50 µF capacitor to a 746 V power source, whilst connected a second 6.80 µF capacitor to a 562 V source.

The potential difference and charge across EACH capacitor will be

V = Voe

Where Vo = initial voltage

e = natural logarithm = 2.718

For the first capacitor 2.50 µF,

V = Vo × 2.718

746 = Vo × 2.718

Vo = 746/2.718

Vo = 274.5v

To calculate the charge, use the below formula.

Q = CV

Q = 2.5 × 10^-6 × 274.5

Q = 6.86 × 10^-4 C

For the second capacitor 6.80 µF

V = Voe

562 = Vo × 2.718

Vo = 562/2.718

Vo = 206.77v

The charge on it will be

Q = CV

Q = 6.8 × 10^-6 × 206.77

Q = 1.41 × 10^-3 C

B.) Using the formula V = Voe again

165 = Vo × 2.718

Vo = 165 /2.718

Vo = 60.71v

Q = C × 60.71

Q = C