Physics 路 Electrostatics
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Two capacitors 饾惗1 = 2饾憿 F and 饾惗1 = 4饾憿 F are connected series across a 100 V supply. Find the effective capacitance.
- A
1/2饾憿 F
- B
3/2饾憿 F
- C
4/3饾憿 F
- D
7/2饾憿 F
- E
9/2饾憿 F
The total capacitance of capacitors in series is found using the formula: 1/Ctotal = 1/C1 + 1/C2. For C1 = 2渭F and C2 = 4渭F, we get:
1/Ctotal = 1/2 + 1/4 = 2/4 + 1/4 = 3/4
So, Ctotal = 4/3 渭F.
This shows that the correct answer is 4/3 渭F, making Option C correct. The other options result from incorrect calculations or misunderstandings of the series capacitor formula.
This option is incorrect. This value arises from a misunderstanding of the formula for capacitors in series.
This option is incorrect. You may have calculated the reciprocal of the capacitance incorrectly.
This is the correct answer. The formula for capacitors in series is 1/Ctotal = 1/C1 + 1/C2. Solving gives 1/Ctotal = 1/2 + 1/4 = 3/4, so Ctotal = 4/3 渭F.
This option is incorrect. This value is too high for capacitors connected in series.
This option is incorrect. This value is also too high and may result from using the wrong formula.
Tagged under Physics 路 Electrostatics 路 2013