Two cylindrical capacitors, each with a capacitance of $2.2 \mu\text{F}$ , have their outer cylinders placed in contact while their inner cylinders are joined via a wire. A battery of emf $10 \text{ V}$ is connected as depicted in the figure. Determine the total charge delivered by the battery to the inner cylinders.

Question

Two cylindrical capacitors, each with a capacitance of

2.2 \mu\text{F}

, have their outer cylinders placed in contact while their inner cylinders are joined via a wire. A battery of emf

10 \text{ V}

is connected as depicted in the figure. Determine the total charge delivered by the battery to the inner cylinders.
Two cylindrical capacitors, each with a capacitance of 2.2 , have their outer cylinders placed in contact while their

Two cylindrical capacitors, each with a capacitance of 2.2 , have their outer cylinders placed in contact while their

Quantrex Academy · Accepted Answer

Correct answer: C. 44

From the given figure and description, the inner cylinders of the two capacitors are connected together via a wire, and their outer cylinders are in contact with each other. This means the two cylindrical capacitors are connected in parallel across the battery.

The equivalent capacitance

C_{eq}

of two capacitors in parallel is the sum of their individual capacitances:

C_{eq} = C_1 + C_2

Given that each capacitor has a capacitance of

2.2 \mu\text{F}

:

C_{eq} = 2.2 \mu\text{F} + 2.2 \mu\text{F} = 4.4 \mu\text{F}

The battery has an emf of

V = 10 \text{ V}

. The total charge

Q

delivered by the battery to the inner cylinders is given by:

Q = C_{eq} \times V

Substituting the values:

Q = 4.4 \mu\text{F} \times 10 \text{ V} = 44 \mu\text{C}

Two cylindrical capacitors, each with a capacitance of 2.2 , have...

Options

Correct answer

Step-by-step solution

More from Capacitors