Determine the charge supplied by the battery in the arrangement presented in the figure.

Question

Quantrex Academy · Accepted Answer

Correct answer: A. 110 μ C

Let the nodes of the circuit be identified to determine the combination of capacitors.

The positive terminal of the

10\text{ V}

battery is connected to the left plate of the

5.0\text{ \mu F}

capacitor and the right plate of the

6.0\text{ \mu F}

capacitor.

The negative terminal of the battery is connected to the right plate of the

5.0\text{ \mu F}

capacitor and the left plate of the

6.0\text{ \mu F}

capacitor.

Since both capacitors are connected directly across the same potential difference of

10\text{ V}

, they are in a parallel combination.

The equivalent capacitance of the circuit is

C_{\text{eq}} = C_1 + C_2 = 5.0\text{ \mu F} + 6.0\text{ \mu F} = 11.0\text{ \mu F}

.

The total charge supplied by the battery is given by

Q = C_{\text{eq}} V

.

Substituting the values,

Q = 11.0\text{ \mu F} \times 10\text{ V} = 110\text{ \mu C}

.

Determine the charge supplied by the battery in the arrangement...