3. The equation for the energy stored in a capacitor is given on the front page in the formula box. In that formula, if energy is in nanojoules and voltage is in volts, what units will the capacitance have?
3. The equation for the energy stored in a capacitor is given on the front page in the formula box. In that formula, if energy is in nanojoules and voltage is in volts, what units will the capacitance have?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![### Transcription for Educational Use:
**Enhancing Capacitance with Dielectrics**
Filling the space between the plates with a **dielectric** of dielectric constant \(\kappa\) increases the capacitance to \(C = \kappa C_0\).
**Energy Storage in Capacitors**
The energy stored in a capacitor is given by \[
u_C = \frac{1}{2}C(\Delta V_c)^2.
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb520c17-8305-428a-b4d1-cb4273cbb5b6%2F9dbe6642-6a8d-4f13-986c-cbebd763a806%2F0ucgmw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Transcription for Educational Use:
**Enhancing Capacitance with Dielectrics**
Filling the space between the plates with a **dielectric** of dielectric constant \(\kappa\) increases the capacitance to \(C = \kappa C_0\).
**Energy Storage in Capacitors**
The energy stored in a capacitor is given by \[
u_C = \frac{1}{2}C(\Delta V_c)^2.
\]
![**Question 3**: The equation for the energy stored in a capacitor is given on the front page in the formula box. In that formula, if energy is in nanojoules and voltage is in volts, what units will the capacitance have?
**Explanation**: This question asks for the units of capacitance when using a specific formula for the energy stored in a capacitor, given that energy is measured in nanojoules and voltage in volts. This involves understanding the formula for energy stored in a capacitor:
\[ E = \frac{1}{2} C V^2 \]
where \( E \) is energy, \( C \) is capacitance, and \( V \) is voltage. Here, you're asked to work out the units of \( C \) when \( E \) is in nanojoules (nJ) and \( V \) is in volts (V).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb520c17-8305-428a-b4d1-cb4273cbb5b6%2F9dbe6642-6a8d-4f13-986c-cbebd763a806%2Fhtrgkla_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question 3**: The equation for the energy stored in a capacitor is given on the front page in the formula box. In that formula, if energy is in nanojoules and voltage is in volts, what units will the capacitance have?
**Explanation**: This question asks for the units of capacitance when using a specific formula for the energy stored in a capacitor, given that energy is measured in nanojoules and voltage in volts. This involves understanding the formula for energy stored in a capacitor:
\[ E = \frac{1}{2} C V^2 \]
where \( E \) is energy, \( C \) is capacitance, and \( V \) is voltage. Here, you're asked to work out the units of \( C \) when \( E \) is in nanojoules (nJ) and \( V \) is in volts (V).
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