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

C1   =3 uF, C2 = 1.5 uF ,C3 = 2 uF, C4 = 6 uF, C5 = 1uF

V = 2V

in sereis combiantion C34 = 2*6/(2+6)

C34 = 1.5 uF

in parallel combination

C342 = 1.5+1.5 = 3 uF

in series combination

C1342 = 3*3/(3+3) = 1.5 uF

Q = VC

Q1342 = 2*1.5 = 3 uC

in series combination charge is constant

Q1 = 3 uC

V1 = 3/3 = 1 V

Q342 = 3 uC

V342 = 3/3 = 1 V

in parallel combianiton voltage is constant

V2 = 1 V

Q2 = 1*1.5 = 1.5 uC

V34 = 1 V

Q34 =1*1.5 = 1.5 uC

in series combination charge is constant

Q3 = 1.5 uC

V3 =1.5/2 =0.75 V

Q4 = 1.5 uC

V4 = 1.5/6 = 0.25 V

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