1.Two capacitors, A and B, are cocected in series across the terminals of a capa

Question

1.Two capacitors, A and B, are cocected in series across the terminals of a capacitancs are related by Ca -20s- Thei a. Their respective charges satisfy Q-2Q b. Their voltages satisfy VA c. Their electrical energies satisfy UA US d. None of the above 2. Two capacitors, A and B, are connected in paralel across the terminals of a battery Their capacitances are related br CA a. Their respective charges satisfy Q-20s b. Their voltages satisfy VA c. Their electrical energies sstisfy UA Us d. None of the above 3. A capacitor with a very large capacitance is in series with another capacitor with very small capacitance value. What is the equivalent capecitance of the combination? a. Slightly greater than the capacitance of the large capacitor b. Slightly less than the capacitanoe of the large capacitor c. Slightly greater than the capacitance of the small capacitor d. Slightly less than the capacitance of the small capacitor 4. A fully charged parallel-plate capacitor remains connected to a battery while you slide a dielectric between the plates. As a result of the introduction of the dielectric a. The charge on the plates increases b. The capacitance decreases The potential difference between the plates decreases . The stored electrical energy remains the same

Explanation / Answer

1.

We know that charge in a series is same.

So charge on both the capacitors will be same.

Also, Q=CV

So from here we can say that,

2Va=V b

Option b will be correct

2)

When connected in parallel voltage is same across both the capacitors.

So charge will be

Q a=2Q b

3)

We know that equivalents capacitance in series is

1/C =1/C1+1/C2

So it will be slightly greater than the smallest capacitor.

4)

We know that capacitance will be kC ,that is it increases .

Also, potential difference is same so, charge will increase.

Hence option A

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