1. How much charge does a battery have to supply to a 4.0 ? F capacitor to creat

Question

1. How much charge does a battery have to supply to a 4.0?F capacitor to create a potential difference of 1.4V across its plates? 2. How much energy is stored in the capacitor in this case?
3. How much charge would the battery have to supply to store 1.2J of energy in the capacitor?
4. What would be the potential across the capacitor in that case?


1. How much charge does a battery have to supply to a 4.0?F capacitor to create a potential difference of 1.4V across its plates?

1. How much charge does a battery have to supply to a 4.0?F capacitor to create a potential difference of 1.4V across its plates? 2. How much energy is stored in the capacitor in this case?
2. How much energy is stored in the capacitor in this case?
3. How much charge would the battery have to supply to store 1.2J of energy in the capacitor? 3. How much charge would the battery have to supply to store 1.2J of energy in the capacitor?
4. What would be the potential across the capacitor in that case?

4. What would be the potential across the capacitor in that case?

Explanation / Answer

1)Q=C*V=4*10^-6*1.4=5.6uC...

2) U=0.5*C*V^2=0.5*4*10^-6*1.4^2 =3.92 *106-6 J...

3)Q=sqrt(U*2C)=sqrt(1.2*2*4*10^-6)=3.098*106-3 C..

4)V=Q/C=3.098*10^-3/4*10^-6=774.6 V

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