Three capacitors each of capacitance 1 \mu F1μF are connected in parallel. To this combination, a fourth capacitor of capacitance 1 \mu F1μF is connected in series. The resultant capacitance of the system is (1) 4 \mu F4μF (2) (4 / 3) \mu F(4/3)μF (3) (4 / 3) \mu F(4/3)μF (4) 2 \mu F2μF
Answers
resultant capacitance of the system is 3/4 μF
Explanation:
Three capacitors each of capacitance 1μF are connected in parallel.
Capacitors in parallel Gets added
1 + 1 + 1 = 3 μF
Now 3 μF is in Series with 1μF
Hence Ceq = 1/(1/3 + 1/1)
= 3/(1 + 3)
= 3/4
resultant capacitance of the system is 3/4 μF
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Explanation:
Given Three capacitors each of capacitance 1 \mu F1μF are connected in parallel. To this combination, a fourth capacitor of capacitance 1 \mu F1μF is connected in series. The resultant capacitance of the system is
- Now we need to find the resultant capacitance.
- So the three capacitors are connected in parallel and another capacitor of capacitance 1 μ F is connected in series. So it will be C equivalent. In parallel it will be added.So the three equivalent can be considered as C and another is 1 micro F.
- So C eq = C x 1 / C + 1
- = C / C + 1
- Therefore C = 1 + 1 + 1
- = 3 μ F
- So C eq = 3 / 3 + 1
- So C eq = 3/4 μ F
Reference link will be
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