Answered: We are given a capacitor for which we…

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)...

See similar textbooks

Related questions

Question

We are given a capacitor for which we do not know its capacitance. In order to figure this out we connect this gadget
to an rms voltage of 6.5V at 50Hz. If the resulting rms current is 42mA, what is the capacitance?

Expert Solution

Step 1

Capacitive Reactance:

The resistance offered by the capacitor in a circuit is termed capacitive reactance. The formula to calculate the capacitive reactance in an AC circuit is,

$X_{C} = \frac{1}{2 π f C} (1)$

where $f$ is the frequency of the AC voltage and $C$ is the capacitance.

Ohm's law:

According to this law, the voltage applied across a circuit is equal to the product of the current and the resistance of the circuit. Mathematically,

$V = I R$

where $I$ is the current and $R$ is the resistance.

For an AC circuit, this equation becomes,

$V_{r m s} = I_{r m s} Z (2)$

where $V_{r m s}$ is the rms voltage, $I_{r m s}$ is the rms current, and $Z$ is the impedance (another word for resistance in an AC circuit).

NOTE:

$1 mA = 10^{- 3} A 1 μ F = 10^{- 6} F$

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions