The effective capacity of the network between terminals $$\mathrm{A}$$ and $$\mathrm{B}$$ is:

 1 $$6~\mu\text{F}~$$ 2 $$20~\mu\text{F} ~$$ 3 $$3~\mu\text{F}~$$ 4 $$10~\mu\text{F}$$
Subtopic: Â Combination of Capacitors |
Â 90%
From NCERT
AIPMT - 1999
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Three uncharged capacitors of capacities $$C_1, C_2~\text{and}~C_3$$ are connected to one another as shown in the figure.

If points A, B, and D, are at potential $$V_1, V_2 ~\text{and}~V_3$$ then the potential at O will be:

 1 $$\frac{V_1C_1+V_2C_2+V_3C_3}{C_1+C_2+C_3}$$ 2 $$\frac{V_1+V_2+V_3}{C_1+C_2+C_3}$$ 3 $$\frac{V_1(V_2+V_3)}{C_1(C_2+C_3)}$$ 4 $$\frac{V_1V_2V_3}{C_1C_2C_3}$$
Subtopic: Â Combination of Capacitors |
Â 90%
From NCERT
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Three capacitors of capacitances $$3~\mu\text{F}$$, $$9~\mu\text{F}$$ and $$18~\mu\text{F}$$ are connected once in series and another time in parallel. The ratio of equivalent capacitance in the two cases $$\frac{C_s}{C_p}$$ will be:
1. $$1:15$$
2. $$15:1$$
3. $$1:1$$
4. $$1:3$$

Subtopic: Â Combination of Capacitors |
Â 87%
From NCERT
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Two capacitors of capacitance $$6~\mu\text{F}$$ and $$3~\mu\text{F}$$ are connected in series with battery of $$30~\text{V}$$. The charge on $$3~\mu\text{F}$$ capacitor at a steady state is:

1. $$3 ~\mu\text{C}$$
2. $$1.5 ~\mu\text{C}$$
3. $$60~\mu\text{C}$$
4. $$900~\mu\text{C}$$

Subtopic: Â Combination of Capacitors |
Â 86%
From NCERT
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The equivalent capacitance across $$A$$ and $$B$$ in the given figure is:

1. $$\frac{3}{2}\text{C}$$
2. $$\text{C}$$
3. $$\frac{2}{3}\text{C}$$
4. $$\frac{5}{3}\text{C}$$

Subtopic: Â Combination of Capacitors |
Â 79%
From NCERT
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The equivalent capacitance of the following arrangement is:

1. $$18~\mu \text{F}$$
2. $$9~\mu \text{F}$$
3. $$6~\mu \text{F}$$
4. $$12~\mu \text{F}$$

Subtopic: Â Combination of Capacitors |
Â 79%
From NCERT
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A capacitor of capacity $$C_1$$ is charged up to $$V$$ volt and then connected to an uncharged capacitor $$C_2$$. Then final P.D. across each will be:
1. $$\frac{C_{2} V}{C_{1} + C_{2}}$$
2. $$\frac{C_{1} V}{C_{1} + C_{2}}$$
3. $$\left(1 + \frac{C_{2}}{C_{1}}\right)$$
4. $$\left(1 - \frac{C_{2}}{C_{1}} \right) V$$

Subtopic: Â Combination of Capacitors |
Â 79%
From NCERT
AIPMT - 2002
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Two capacitors of capacity $$2~\mu\text{F}$$ and $$3~\mu\text{F}$$ are charged to the same potential difference of $$6$$ V. Now they are connected with opposite polarity as shown. After closing switches $$S_1~\text{and}~S_2$$, their final potential difference becomes:

 1 $$\text{zero}$$ 2 $$\frac{4}{3}~\text{V}$$ 3 $$3~\text{V}$$ 4 $$\frac{6}{5}~\text{V}$$
Subtopic: Â Combination of Capacitors |
Â 63%
From NCERT