R_1 = 2.5 ohm; R_2 = 3.5 ohm; R_3 = 4.0 ohm; R_4 = 8.0 ohm; R_5 = 5.0 ohm; If V

Question

R_1 = 2.5 ohm; R_2 = 3.5 ohm; R_3 = 4.0 ohm; R_4 = 8.0 ohm; R_5 = 5.0 ohm; If V = 36.0 V, FIND: Equivalent resistance; The current in each resistor and voltage across each resistor. What is the charge on each capacitor? What is the voltage across each capacitor? C_1 = 3.0 mu F; C_2 = 1.5 mu F; C_3 = 2.0 mu F; C_4 = 6.0 mu F; C_5 = 1.0 mu F; V = 2.0 V The generator is supplying 110 V AC at frequency f = 50 Hz; R = 200.0 ohm; C = 6 mu F; L = 0.4H. What is the current in the circuit? Find the resonant frequency Find the voltage drop in each element

Explanation / Answer

2.a)

1. Equivalent resistance = R5 + (R1+R3)||(R2+R4) = 5+(2.5+4)||(3.5+8) = 5+6.5||11.5 = 9.152 ohm

2. Current in resistance R5 = 36/9.152 = 3.933 A

voltage difference across the parallel combination = 36-3.933*5 = 16.33 V

current in R1 = Current in R3 = 16.33/6.5 = 2.512 A

current in R2 = current in R4 = 16.33/11.5 = 1.42 A

2.b)

1. charge across each capacitor = ?

Ceq = C1 series (C2+C3 series C4)

Ceq = 3 series (3.5 series 6) = 3 series 2.21 = 1.27 mu F

charge on C1 = 1.27*2 = 2.54 mu C

voltage across C1 = 2.54/3 = 0.85 V

voltage across C2 = 1.15V

charge on C2 = 1.725 mu C

voltage across C3 = (6/8)*1.15 = 0.86 V

voltage across C4 = 0.29 V

charge on C3 = 1.72 mu C

charge on C4 = 1.72 mu C.

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