Signal-to-Noise Ratio (SNR)

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Questions and Answers

A charge Q is divided into two parts, q and Q-q, and separated by a distance R. For the force of repulsion between them to be maximum, what should q equal?

  • Q
  • Q/4
  • Q/3
  • Q/2 (correct)

Three objects are interacted by bringing them close two at a time. Objects A and B attract, while objects B and C repel. What can be concluded about the charges of A and C?

  • Possess charges of opposite sign (correct)
  • All three objects possess charges of the same sign
  • Possess charges of the same sign
  • One of the objects is neutral

Object A has a charge of +2 (\mu C), and object B has a charge of +6 (\mu C). Which option accurately describes the relationship between the electric forces on the objects?

  • $3F_{AB} = -F_{BA}$
  • $F_{AB} = 3F_{BA}$
  • $F_{AB} = -F_{BA}$ (correct)
  • $F_{AB} = -3F_{BA}$

When a charge is added to a conductor, where does its potential tend to reside?

<p>Remains same throughout the conductor (C)</p> Signup and view all the answers

What is the unit of electric field intensity?

<p>newton/coulomb (C)</p> Signup and view all the answers

A proton is approximately 1840 times heavier than an electron. If a proton is accelerated through a potential difference of 1 kV, what is its kinetic energy?

<p>1 keV (C)</p> Signup and view all the answers

Determine the electric field at a distance of 20cm from a 2(\mu C) charge.

<p>$4.5 \times 10^5$ N/C (A)</p> Signup and view all the answers

An electric charge q is placed at the center of a cube with side length a. What is the electric flux through one side of the cube?

<p>$\frac{q}{6 \epsilon_0}$ (B)</p> Signup and view all the answers

The electric flux through the surface of a sphere due to a charge q placed at its center depends upon what property?

<p>The quantity of charge inside the sphere (A)</p> Signup and view all the answers

A 1 (\mu F) capacitor in a TV is subjected to a 4000 V potential difference. How much energy is stored in the capacitor?

<p>8 J (B)</p> Signup and view all the answers

Given the capacitor circuit, what is the charge on the 3 (\mu F) capacitor?

<p>10 (\mu F) (D)</p> Signup and view all the answers

Two parallel metal plates are spaced 8.00 m apart. The electric field between the plates is uniform and directed to the right, with a magnitude of 4.00 N/C. If an ion with a charge of +2e is released at rest from the left-hand plate, what is its kinetic energy when it reaches the right-hand plate?

<p>64 eV (D)</p> Signup and view all the answers

For a charge distribution that is spherically symmetric, where does the potential change the most rapidly?

<p>Near the center of the distribution (D)</p> Signup and view all the answers

If two conducting spheres of different radii are connected by a conducting wire, what can be said about their potentials?

<p>Both spheres have the same potential (D)</p> Signup and view all the answers

What is the effect of introducing a dielectric material between the plates of a capacitor, assuming the charge on the capacitor remains constant?

<p>Decreases the potential difference (B)</p> Signup and view all the answers

Consider an isolated conducting sphere with a net positive charge. Where is the electric field strongest?

<p>Just outside the surface of the sphere (B)</p> Signup and view all the answers

How does the energy density in an electric field change if the electric field strength is doubled?

<p>Quadruples (D)</p> Signup and view all the answers

If the distance between two point charges is tripled, how does the electrostatic force between them change?

<p>It becomes one-ninth as strong (C)</p> Signup and view all the answers

Two identical point charges are fixed in place. A third charge is placed exactly midway between them. Under what conditions will the third charge be in equilibrium?

<p>Always in equilibrium, regardless of sign (B)</p> Signup and view all the answers

A parallel-plate capacitor is charged and then disconnected from a battery. What happens to the charge on the plates if the plates are then pulled further apart?

<p>The charge stays the same (B)</p> Signup and view all the answers

Flashcards

Maximum Repulsion Force Condition

Repulsion force is maximum when the charge Q is divided equally, i.e., q = Q/2.

Charge Signs from Attraction/Repulsion

Objects A and C possess charges of the same sign.

Forces Between Two Charged Objects

The magnitude of the electric force on object A due to B is equal to the magnitude of the electric force on object B due to A, but in opposite directions: FAB = -FBA.

Potential of a charged conductor

Potential is maximum at the surface.

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Electric Field Intensity Unit

Volt/metre

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Kinetic Energy of Proton

1 keV

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Electric Field Magnitude

4.5 x 10^5 N/C

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Electric Flux Through One Cube Side

The electric flux on one side will be q/6ε₀

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Electric Flux Dependence

The quantity of charge inside the sphere.

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Energy Stored in a Capacitor

8 J

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Energy Stored in a Capacitor

8 J

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Kinetic Energy of Ion

64 eV

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Study Notes

  • Signal-to-Noise Ratio (SNR) is a measure comparing the power of a desired signal to the power of background noise.
  • It is defined as the ratio of signal power to noise power.
  • Higher SNR indicates a more prominent signal compared to noise.
  • SNR is often expressed in decibels (dB) due to the wide range of signal values.

SNR Formulas

  • SNR in decibels is calculated using the formula: $SNR_{dB} = 10 \log_{10} (\frac{P_{señal}}{P_{ruido}})$, where $P_{señal}$ is the signal power, and $P_{ruido}$ is the noise power.
  • Alternatively, SNR in decibels can be calculated using amplitudes: $SNR_{dB} = 20 \log_{10} (\frac{A_{señal}}{A_{ruido}})$, where $A_{señal}$ is the signal amplitude, and $A_{ruido}$ is the noise amplitude.

SNR Example

  • If signal power is 10 milliwatts (mW) and noise power is 1 microwatt (µW), the SNR in decibels is: $SNR_{dB} = 10 \log_{10} (\frac{10 \times 10^{-3} W}{1 \times 10^{-6} W}) = 10 \log_{10} (10000) = 40 dB$
  • An SNR of 40 dB means the signal is 40 dB stronger than the noise.

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