High School

Two capacitors with capacitances of 2 F and 6 F are connected in parallel to a battery of 5.0 V.

(a) What is the total capacitance in the circuit?
(b) What is the potential difference across each capacitor?

Answer :

Final answer:

The total capacitance of 2F and 6F capacitors connected in parallel is 8F. The voltage across each capacitor in a parallel connection is the same as the total voltage supplied, in this case, 5.0V.

Explanation:

When two capacitors are connected in parallel, the total capacitance is given by the sum of the individual capacitances. Therefore, the total capacitance in this circuit would be the sum of the 2F and 6F capacitors, which results in a total capacitance of 8F.

For capacitors connected in parallel, the potential difference (voltage) across each capacitor is the same as the total voltage supplied by the battery. Therefore, in this case, the voltage across each capacitor would be the same as the value supplied by the battery, which is 5.0V.

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