(1) Let's first find the equivalent capacitance of two capacitors connected in series:
Ceq1=C11+C21,Ceq=C11+C211=0.3 μF1+0.2 μF11=0.12⋅10−6 F.Then, we can find the capacitive reactance as follows:
XC=2πfCeq1=2π⋅50 Hz⋅0.12⋅10−6 F1=2.65⋅104 Ω.Finally, we can find the intensity of the current in the circuit:
I=XCV=2.65⋅104 Ω300 V=1.1⋅10−2 A.(2) Let's first find the charge on the equivalent capacitor:
Q=CeqΔV=0.12⋅10−6 F⋅300 V=3.6⋅10−5 C.For the series connection of the capacitors, the magnitude of the charge will be the same, therefore, we can write:
Q1=Q2=Q.Finally, we can find the potential drop across the first and second capacitors:
ΔV1=C1Q=0.3⋅10−6 F3.6⋅10−5 C=120 V,ΔV2=C2Q=0.2⋅10−6 F3.6⋅10−5 C=180 V.
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