3, Find the total capacitance between points a and bifC1-45.0?FG+280 ?F and C,-4

Question

3, Find the total capacitance between points a and bifC1-45.0?FG+280 ?F and C,-42.0 ?F | C2 I_ C3 (a) 17.9 ?F (b) 21.5 ?F (c) 24.6 ?F (d)27.4 ?F (e) 29.8 ?F 4. The capacitor network shown in Problem 3 is connected to a battery with V 16.0 Volts. Find the charge on C2 (a) 158 uC (b) 175 HC (c) 191 HC (d) 219 HC (e) 237 HC 46.0 ?. 5. Two resistors are connected in series to a battery with V.-20.0 V. If R2 and the power dissipated by R2 is 5.00 Watts, find the resistance of R1. Rt (b) 14.7 ? (c) 17.1 ? (d) 18.8 ? (e) 19.9 ? R2 (a) 11.7 ?

Explanation / Answer

3. C2 and C3 are in parallel,

C' = C2 + C3 = 28 + 42 = 70 uF

C1 and C' are in series.

1/Ceq = 1/C1 + 1/C' = 1/45 + 1/70

Ceq = 27.4 uF Ans(d)

4. voltage across C' ,

V' = (16)(C1)/(C1 + C')

V' = 16 (45) / (45 + 70)

V' = 6.26 Volt

V2 = V3 = V'

and Q2 = C2 V2 = (28 uF)(6.26 V)

Q2 = 175 uC

Ans(B)

5. P = V^2 / R

5 = V2^2/46

V2 = 15.2 Volt

and I = V2 / R2 = 15.2 / 46 = 0.33 A

and V1 = Vb - V2 = 20 - 15.2 = 4.8 Volt

R1 = V1 / I = 4.8 / 0.33

R1 = 14.7 ohm

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