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A 60 V battery is connected to a capacitor network. Capacitor C1 = 3…
Question
A 60 V battery is connected to a capacitor network. Capacitor C1 = 3 microfarad is in series with a parallel combination of C2 = 2 microfarad and C3 = 4 microfarad. Find the charge stored on C2, in microcoulomb.
✓ Verified answer: 40checked by our engine — not a guess
Step-by-step solution
Parallel combination C23 = 2 + 4 = 6 uF.
This is in series with C1 = 3 uF: Ceq = (3)(6)/(3+6) = 2 uF.
Total charge from battery Q = Ceq x V = 2 x 60 = 120 uC; this same charge sits on C1 and on the parallel block.
Voltage across the parallel block = Q/C23 = 120/6 = 20 V.
Charge on C2 = C2 x 20 = 2 x 20 = 40 uC.
Final answer40
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