Series connection of capacitors
The effective capacitance or total value (Ct) a connection two or more capacitors in series, is calculated using the equation ever wrote for parallel connection to the resistance, use the formula:
1/Ct = 1/C1 + 1/C2 + 1/C3 + · · · + 1/Cn
where:
C1, C2, C3 = capacitance of each component
Cn = capacitance of the n components
Example question:
See the picture below, how many effective capacitance is given to circuit?
![series connection of capacitors](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjgJxy25ijc8_NiSyk9W6iLnuwfqUtIPv_CxC2VKvDlmGUzC6FPdFD_DwxtTjhxKv00l3jkR2KR23yIOMoG2r0xzUvotqyltGuE6kOpijC0TJOLStieudTlneQIieIoWvj7ES8Njo9kbuk/s400/hubungan-seri-kapasitor.png)
completion:
1/Ct = 1/C1 + 1/C2 + 1/C3
1/Ct = 1 / 47 + 1 / 22 + 1 / 10
1/Ct = 1724/10340
1724Ct = 10 340
Ct = 10340/1742
Ct = 6 μF
conclusion:
1/Ct = 1/C1 + 1/C2 + 1/C3 + · · · + 1/Cn
where:
C1, C2, C3 = capacitance of each component
Cn = capacitance of the n components
Example question:
See the picture below, how many effective capacitance is given to circuit?
![series connection of capacitors](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjgJxy25ijc8_NiSyk9W6iLnuwfqUtIPv_CxC2VKvDlmGUzC6FPdFD_DwxtTjhxKv00l3jkR2KR23yIOMoG2r0xzUvotqyltGuE6kOpijC0TJOLStieudTlneQIieIoWvj7ES8Njo9kbuk/s400/hubungan-seri-kapasitor.png)
completion:
1/Ct = 1/C1 + 1/C2 + 1/C3
1/Ct = 1 / 47 + 1 / 22 + 1 / 10
1/Ct = 1724/10340
1724Ct = 10 340
Ct = 10340/1742
Ct = 6 μF
conclusion:
- Equation series connection of capacitors equal to parallel connection of resistance
- Effective capacitance or total value (Ct) a series capacitor circuit is always smaller than the smallest value of capacitor in the circuit.
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