The equivalent capacitance of the two equal capacitors connected in series combination is 2 F. Find capacitance of each capacitor.

CONCEPT:

• Capacitance: The capacitance tells that for a given voltage how much charge the device can store.

Q = CV

where Q is the charge in the capacitor, V is the voltage across the capacitor and C is the capacitance of it.

• And in the Series circuit, the reciprocal of the equivalent capacitance is the algebraic sum of all the reciprocal of the capacitance.

1/Ceq = 1/C1 + 1/C2 + 1/C3 +...... (in series)

CALCULATION:

Given that two equal capacitors of capacitance 2 F are connected in series.

Ceq = 2 F

Let the equal capacitors are C'

So their effective capacitance when connected in series

1/Ceq = 1/C1 + 1/C2

1/Ceq = 1/C' + 1/C'

1/2C = 2/C'

C' = 2 × 2 F = 4 F

Each capacitors have capacity of 4 F.

So the correct answer is option 1.

Additional Information