1. Calculate the charge on C 1. Express your answer in microcoulombs to three si

Question

1.

Calculate the charge on C1.

Express your answer in microcoulombs to three significant figures.

2.

Calculate the charge on C2.

Express your answer in microcoulombs to three significant figures.

3.

Calculate the charge on C3.

Express your answer in microcoulombs to three significant figures.

4.

Calculate the charge on C4.

Express your answer in microcoulombs to three significant figures

5.

Calculate the potential difference across C1.

Express your answer in volts to three significant figures

6.

Calculate the potential difference across C2.

Express your answer in volts to three significant figures

7.

Calculate the potential difference across C3.

Express your answer in volts to three significant figures

8.

Calculate the potential difference across C4.

Express your answer in volts to three significant figures

Explanation / Answer

C1 AND C2 are in series,

1/C' = 1/C1 + 1/C2 = 1/3.80 + 1/3.80

C' = 1.9 uF

now C' and C3 are in parallel,

C" = C' + C3 = 5.7 uF

now C" and C4 are in series,

1/Ceq = 1/5.7 + 1/3.80

Ceq = 2.28 uF

charge on equivalent capacitor,

Q = Ceq V = 63.84 uC

so charge on C4 = charge on C" = 63.84 uC

voltage on C" = acrossC3 = 63.84 uC / 5.7uF = 11.2 V

voltage across C1 = 11.2 /2 = 5.6 Volt

1. Q1 = C1 V = 5.6 x 3.80 = 21.28 uC

2. Q2 = Q1 = 21.28 uC

3. Q3 = 21.28 uC

4. Q4 = 63.84 uC

5. V1 = 5.6 Volt

6. V2 = 5.6 Volt

7. V3 = 11.2 Volt

8. V4 = 28 - 11.2 = 16.8 Volt

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