In a parallel plate capacitor with air between the plates, each plate has an area of $$6\times10^{-3}~\text{m}^2$$, and the distance between the plates is $$3~\text{mm}$$. The capacitance of the capacitor is:
1. $$16.12~\text{pF}$$
2. $$17.71~\text{pF}$$
3. $$15.01~\text{pF}$$
4. $$11.32~\text{pF}$$

Subtopic: Â Capacitance |
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The capacitance of a system of concentric conducting spherical shells is $$2~\mu\text F.$$ If the radii of both the shells are doubled, then the capacitance of the system will be:
1. $$8~\mu\text F$$
2. $$4~\mu\text F$$
3. $$1~\mu\text F$$
4. $$0.5~\mu\text F$$
Subtopic: Â Capacitance |
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The $$6$$ $$\mu$$F capacitor is initially charged to $$2$$ V (i.e. $$V_B-V_A=2$$ V) while the $$3$$ $$\mu$$F capacitor is uncharged. The switch is now closed. The final potential difference across the $$3$$ $$\mu$$F capacitor will be:

1. $$4$$ V

2. $$\frac{4}{3}$$ V

3. $$2$$ V

4. $$\frac{8}{3}$$ V

Subtopic: Â Capacitance |
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Three capacitors connected in series have a capacitance of $$9$$ pF each. The potential difference across each capacitor if the combination is connected to a $$120$$ V supply is:
1. $$10$$ V
2. $$20$$ V
3. $$30$$ V
4. $$40$$ V

Subtopic: Â Capacitance |
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