PHY 102b: General Physics II (Theory) Exam Code: 01

Question

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Here are the solutions to the questions you've provided:

1. For a parallel plate capacitor, if the charge stored on a capacitor plate is large, the capacitance will be ________.

The capacitance $C$ of a capacitor is defined as the ratio of the charge $Q$ stored on its plates to the potential difference $V$ across them
$C = \frac{Q}{V}$
For a given capacitor, its capacitance $C$ is a constant value determined by its physical dimensions (plate area, distance between plates) and the dielectric material.
It does not depend on the charge stored or the potential difference across it. If the charge stored ( $Q$ ) increases, the potential difference ( $V$ ) across the plates also increases proportionally, keeping the ratio $C$ constant.
However, if the question implies a design choice, a capacitor designed to store a large charge (at a typical operating voltage) would inherently have a large capacitance. Given the multiple-choice options, this interpretation is most likely intended.
The correct option is A.
$\boxed{\text{large}}$
2. A capacitor connected to a 24 V battery has a charge of 4 x 10⁻³ C. Its capacitance is ________.
The capacitance $C$ of a capacitor is given by the formula
$C = \frac{Q}{V}$
where $Q$ is the charge stored and $V$ is the potential difference.
Substitute the given values
$Q = 4 \times 10^{-3} \, \text{C}$ and $V = 24 \, \text{V}$ .
$C = \frac{4 \times 10^{-3} \, \text{C}}{24 \, \text{V}}$ $C = \frac{1}{6} \times 10^{-3} \, \text{F}$ $C \approx 0.1666... \times 10^{-3} \, \text{F}$
Convert the capacitance to microfarads ( $\mu\text{F}$ ), where $1 \, \mu\text{F} = 10^{-6} \, \text{F}$ .
$C = 0.1666... \times 10^{-3} \, \text{F} = 166.6... \times 10^{-6} \, \text{F}$ $C \approx 167 \, \mu\text{F}$
The correct option is C.
$\boxed{167 \, \mu\text{F}}$
3. A pico farad is ________ of a farad.
The prefix "pico" (p) represents $10^{-12}$ .
Therefore, a pico farad (pF) is $10^{-12}$ of a farad.
The correct option is B.
$\boxed{10^{-12}}$

PHY 102b: General Physics II (Theory) Exam Code: 01

Answer

Step-by-step solution

The capacitance $C$ of a capacitor is defined as the ratio of the charge $Q$ stored on its plates to the potential difference $V$ across them

For a given capacitor, its capacitance $C$ is a constant value determined by its physical dimensions (plate area, distance between plates) and the dielectric material.

The capacitance $C$ of a capacitor is given by the formula

Substitute the given values

Convert the capacitance to microfarads ( $\mu\text{F}$ ), where $1 \, \mu\text{F} = 10^{-6} \, \text{F}$ .

The prefix "pico" (p) represents $10^{-12}$ .

Therefore, a pico farad (pF) is $10^{-12}$ of a farad.

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PHY 102b: General Physics II (Theory) Exam Code: 01

Answer

Step-by-step solution

The capacitance CCC of a capacitor is defined as the ratio of the charge QQQ stored on its plates to the potential difference VVV across them

For a given capacitor, its capacitance CCC is a constant value determined by its physical dimensions (plate area, distance between plates) and the dielectric material.

The capacitance CCC of a capacitor is given by the formula

Substitute the given values

Convert the capacitance to microfarads (μF\mu\text{F}μF), where 1 μF=10−6 F1 \, \mu\text{F} = 10^{-6} \, \text{F}1μF=10−6F.

The prefix "pico" (p) represents 10−1210^{-12}10−12.

Therefore, a pico farad (pF) is 10−1210^{-12}10−12 of a farad.

Try one yourself

Still stuck on this one?

More Physics Questions

The capacitance $C$ of a capacitor is defined as the ratio of the charge $Q$ stored on its plates to the potential difference $V$ across them

For a given capacitor, its capacitance $C$ is a constant value determined by its physical dimensions (plate area, distance between plates) and the dielectric material.

The capacitance $C$ of a capacitor is given by the formula

Convert the capacitance to microfarads ( $\mu\text{F}$ ), where $1 \, \mu\text{F} = 10^{-6} \, \text{F}$ .

The prefix "pico" (p) represents $10^{-12}$ .

Therefore, a pico farad (pF) is $10^{-12}$ of a farad.