Final answer:
The effective capacitance of two capacitors of 600 pF and 900 pF connected in series is calculated using the series capacitance formula and is found to be 360 pF.
Step-by-step explanation:
To calculate the effective capacitance of two capacitors connected in series, we use the formula:
- 1/Cs = 1/C1 + 1/C2 where Cs is the effective series capacitance, C1 is the capacitance of the first capacitor and C2 is the capacitance of the second capacitor.
Given that C1 = 600 pF and C2 = 900 pF, we can calculate the effective capacitance (Cs) as follows:
- 1/Cs = 1/600 + 1/900
- 1/Cs = (900 + 600) / (600 * 900)
- 1/Cs = 1500 / 540000 pF
- 1/Cs = 1 / 360 pF
- Cs = 360 pF
Therefore, the effective capacitance of the combination when the two capacitors are connected in series across a 200V supply is 360 pF.