General Physics 2 - First Semester (1st Quarter)
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Questions and Answers

Which of the following is true about Gauss' Law?

  • The electric flux is equal to the electric field multiplied by the charge inside the surface.
  • The magnitude of the flux is the product of the electric field and the area of the surface.
  • The electric field is directed perpendicular to the surface.
  • The electric flux through any closed surface is proportional to the charge inside the surface. (correct)

What is the formula for calculating the electrical force of repulsion between two charges?

  • $F = k \frac{q_1 q_2}{r}$
  • $F = \frac{k}{q_1 q_2 r}$
  • $F = k \frac{q_1 q_2}{r^2}$ (correct)
  • $F = \frac{k}{q_1 q_2 r^2}$

What is the formula for calculating the magnitude of two charges when the force between them is known?

  • $q = \sqrt{\frac{F}{k} \cdot r}$
  • $q = \frac{F \cdot r}{k}$
  • $q = \sqrt{\frac{F \cdot r}{k}}$ (correct)
  • $q = \frac{F}{k \cdot r}$

What is the formula for calculating the separation distance between two balloons with known charges when the attracting force is known?

<p>$d = \sqrt{\frac{F \cdot q_1 q_2}{k}}$ (D)</p> Signup and view all the answers

What did Benjamin Franklin discover?

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

According to Gauss' Law, the electric flux through any closed surface is proportional to

<p>The charge inside the surface (B)</p> Signup and view all the answers

What is the formula for calculating the electrical force of repulsion between two charges?

<p>$F = k\frac{q_1q_2}{r^2}$ (A)</p> Signup and view all the answers

What is the formula for calculating the separation distance between two balloons with known charges when the attracting force is known?

<p>$r = \sqrt{\frac{kq_1q_2}{F}}$ (A)</p> Signup and view all the answers

According to Gauss' Law, the electric flux through any closed surface is proportional to

<p>the charge inside the surface (D)</p> Signup and view all the answers

What is the formula for calculating the electrical force of repulsion between two charges?

<p>$F = k\frac{q_1 q_2}{r^2}$ (D)</p> Signup and view all the answers

What is the formula for calculating the separation distance between two balloons with known charges when the attracting force is known?

<p>$r = \sqrt{\frac{k q_1 q_2}{F}}$ (A)</p> Signup and view all the answers

Which of the following is true about electric potential energy?

<p>It depends on the charge of the object experiencing the electric field. (A)</p> Signup and view all the answers

What is the unit of charge?

<p>Coulomb (A)</p> Signup and view all the answers

What is the unit of capacitance?

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

What is the unit of mass?

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

What is the unit of distance?

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

Which of the following is true about capacitors?

<p>Capacitors store electrical energy in an electric field. (C)</p> Signup and view all the answers

What is the unit of electric potential?

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

What is the formula for calculating electric potential?

<p>$V = \frac{Q}{C}$ (C)</p> Signup and view all the answers

Which one of these is the formula for calculating electric potential?

<p>$V = \frac{1}{4\pi\epsilon_0} \frac{q}{r}$ (B)</p> Signup and view all the answers

Which one of these is the unit of distance?

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

Which one of these is true about capacitors?

<p>Capacitors store electrical energy in an electric field. (A)</p> Signup and view all the answers

Which one of these is the formula for calculating electric potential energy?

<p>$PE = rac{1}{2}CV^2$ (C)</p> Signup and view all the answers

Which one of these is the unit of electric potential?

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

According to Gauss' Law, the electric flux through any closed surface is proportional to

<p>The charge enclosed by the surface (D)</p> Signup and view all the answers

Which of the following is the correct formula for calculating the total resistance in a circuit?

<p>$R_T = R1 + R2 + R3 + R$ (A)</p> Signup and view all the answers

Which of the following is the correct formula for calculating the current in a circuit?

<p>$I = \frac{V}{R}$ (C)</p> Signup and view all the answers

What is the value of $V_1$ in volts if the current flowing through a 6Ω resistor is 2A?

<p>12V (A)</p> Signup and view all the answers

What is the current flowing through a 8Ω resistor if the voltage across it is 30V?

<p>3.75A (A)</p> Signup and view all the answers

What is the total current in a circuit if the currents flowing through three resistors are 7.5A, 5A, and 3.75A?

<p>16.25A (A)</p> Signup and view all the answers

Which of the following is true about Ohm's Law?

<p>The current flowing through a conductor is directly proportional to the voltage across it and inversely proportional to its resistance. (C)</p> Signup and view all the answers

Which of the following is the correct formula for calculating the total resistance in a circuit?

<p>$R_T = R_1 + R_2 + R_3$ (A)</p> Signup and view all the answers

What is the formula for calculating the current in a circuit?

<p>$I = \frac{V}{R}$ (B)</p> Signup and view all the answers

Which of the following is the correct formula for calculating the total resistance in a circuit?

<p>$R_T = R1 + R2 + R3 + R$ (A)</p> Signup and view all the answers

What is the current flowing through a 8Ω resistor if the voltage across it is 30V?

<p>$I = V / R = 30V / 8Ω = 3.75A$ (B)</p> Signup and view all the answers

What is the value of $V_1$ in volts if the current flowing through a 6Ω resistor is 2A?

<p>$V_1 = I \cdot R = 2A \cdot 6Ω = 12V$ (A)</p> Signup and view all the answers

Which hand rule states that to determine the direction of the magnetic force on a positive moving charge, point the thumb of the right hand in the direction of v, the fingers in the direction of B, and a perpendicular to the palm points in the direction of F?

<p>Right hand rule (C)</p> Signup and view all the answers

What is the largest magnet on Earth?

<p>The Earth itself (D)</p> Signup and view all the answers

Which magnetic pole of a compass needle is attracted to the south magnetic pole of a second magnet?

<p>North magnetic pole (B)</p> Signup and view all the answers

What is the direction of the Earth's north geographic pole in relation to its south magnetic pole?

<p>They are opposite (A)</p> Signup and view all the answers

What is the direction of the magnetic force on a positive moving charge according to the right hand rule?

<p>In the direction of F (D)</p> Signup and view all the answers

According to the right hand rule, to determine the direction of the magnetic force on a positive moving charge, which finger(s) should point in the direction of the magnetic field?

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

Which pole of a compass needle is attracted to the south magnetic pole of a second magnet?

<p>North pole (B)</p> Signup and view all the answers

What is the largest magnet on Earth?

<p>The Earth itself (B)</p> Signup and view all the answers

Which hand rule states that to determine the direction of the magnetic force on a positive moving charge, point the thumb of the right hand in the direction of $v$, the fingers in the direction of $B$, and a perpendicular to the palm points in the direction of $F$?

<p>Right Hand Rule (D)</p> Signup and view all the answers

What is the largest magnet on Earth?

<p>The Earth itself (A)</p> Signup and view all the answers

Which pole of a compass needle is attracted to the south magnetic pole of a second magnet?

<p>North pole (C)</p> Signup and view all the answers

According to Faraday's law of electromagnetic induction, a changing magnetic field is necessary to induce a current in a nearby circuit. This was demonstrated by Michael Faraday in his experiment using a coil and a magnet. Which of the following is the correct formula for calculating the induced back emf in volts?

<p>E = L \cdot \Delta I \cdot \Delta t (D)</p> Signup and view all the answers

Lenz's law states that the direction of an induced emf will be such that if it were to cause a current to flow in a conductor in an external circuit, then that current would generate a field that would oppose the change that created it. Which of the following is the correct formula for calculating the induced current in a wire if the total resistance is known?

<p>I = \frac{E},{R} (B)</p> Signup and view all the answers

Magnetic flux is defined as the number of magnetic field lines passing through a given closed surface. Which of the following is the correct formula for calculating the magnetic flux?

<p>\Phi = B \cdot A \cdot \cos(\theta) (C)</p> Signup and view all the answers

Inductance is a current generated in a conductor by a changing magnetic field that is proportional to the rate of change of the magnetic field. Which of the following is the correct unit of inductance?

<p>Henry (H) (C)</p> Signup and view all the answers

A circular loop of wire with a radius of 25cm is perpendicular to a magnetic field which increases from 1.5 T to 4.8 T in 23ms. What is the change in magnetic flux?

<p>0.65 wb (C)</p> Signup and view all the answers

According to Faraday's law of electromagnetic induction, a changing magnetic field is necessary to induce a current in a nearby circuit. Which of the following is the correct formula for calculating the induced back emf in volts?

<p>E = L \cdot \Delta I \cdot \Delta t (A)</p> Signup and view all the answers

What is the formula for calculating the change in magnetic flux?

<p>\Phi = B \cdot A \cdot \cos(\theta) (D)</p> Signup and view all the answers

A circular loop of wire with a radius of 25cm is perpendicular to a magnetic field which increases from 1.5 T to 4.8 T in 23ms. What is the induced emf?

<p>-28.26 V (C)</p> Signup and view all the answers

According to Lenz's law, the direction of an induced emf will be such that if it were to cause a current to flow in a conductor in an external circuit, then that current would generate a field that would ________ the change that created it.

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

What is the formula for calculating inductance?

<p>L = NΦ/Δt (C)</p> Signup and view all the answers

What is the formula for calculating the induced back emf in volts?

<p>E = LΔI/Δt (C)</p> Signup and view all the answers

Which of the following is true about electromagnetic induction according to Faraday's law?

<p>A changing magnetic field is necessary to induce a current in a nearby circuit. (D)</p> Signup and view all the answers

What is the formula for calculating the change in magnetic flux?

<p>Φ = B A cos(θ) (B)</p> Signup and view all the answers

What is the formula for calculating the induced back emf in volts?

<p>E = - L ΔI/Δt (A)</p> Signup and view all the answers

Which of the following is true about the reactance of a capacitor?

<p>The reactance of a capacitor is expressed in ohms and symbolized by the letter X. (A)</p> Signup and view all the answers

What is the relationship between the reactance of a capacitor and the frequency of the alternating current?

<p>The reactance of a capacitor is inversely proportional to the frequency of the alternating current. (D)</p> Signup and view all the answers

What is the general formula for the reactance of a capacitor?

<p>$X = \frac{1}{2\pi fC}$ (A)</p> Signup and view all the answers

What is the general formula for calculating the AC through a capacitor?

<p>$I = \frac{V}{X}$ (C)</p> Signup and view all the answers

How does the current through a capacitor change with faster-changing voltages?

<p>The current through a capacitor increases with faster-changing voltages. (C)</p> Signup and view all the answers

Which of the following is true about the reactance of a capacitor?

<p>The reactance of a capacitor is inversely proportional to the frequency of the alternating current. (D)</p> Signup and view all the answers

Which of the following is the general formula for calculating the reactance of a capacitor?

<p>$X = \frac{1}{2\pi fC}$ (B)</p> Signup and view all the answers

Which of the following is true about the current through a capacitor in an AC circuit?

<p>The current through a capacitor is inversely proportional to the voltage across it. (A)</p> Signup and view all the answers

Which of the following is true about the reactance of a capacitor in an AC circuit?

<p>The reactance of a capacitor is inversely proportional to the frequency of the alternating current. (A)</p> Signup and view all the answers

Which of the following is true about the current through a capacitor in an AC circuit?

<p>The current through a capacitor is directly proportional to the rate of voltage change. (A)</p> Signup and view all the answers

Which of the following is the correct formula for calculating the reactance of a capacitor?

<p>$X_C = \frac{1}{2 \pi f C}$ (B)</p> Signup and view all the answers

Flashcards

Gauss's Law

Electric flux through a closed surface is proportional to the enclosed charge.

Electric Force Formula

F = k * (q1 * q2) / r^2, where F is the force, k is Coulomb's constant, q1 and q2 are charges, and r is the distance.

Charges when Force is known

q1 * q2 = F * r^2 / k

Distance between Charges

r = sqrt(F * k / (q1 * q2))

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Capacitance Unit

Farad (F)

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Electric Potential Unit

Volt (V)

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Electric Potential Formula

V = k * Q / r

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Ohm's Law

V = I * R, where V is voltage, I is current, and R is resistance.

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Total Resistance

R_total = R1 + R2 + ... + Rn

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Circuit Current Formula

I = V / R

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Earth's Magnetism

Largest natural magnet

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Right-Hand Rule (magnetism)

Determines force direction on a moving charge in a magnetic field.

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Faraday's Law

Changing magnetic field induces current.

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Induced EMF Formula

∊ = -N * ΔΦ / Δt

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Lenz's Law

Induced current opposes the change that created it.

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Inductance Unit

Henry (H)

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Magnetic Flux Change

ΔΦ = Φ_f - Φ_i

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Capacitor Reactance

X_C = 1 / (2 * π * f * C)

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Capacitor Reactance Frequency

Decreases as frequency increases.

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Capacitor AC Current

I = V / X_C

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Study Notes

Electromagnetism

  • Gauss' Law states that the electric flux through any closed surface is proportional to the charge enclosed within that surface.

Electric Force and Potential

  • The formula for calculating the electrical force of repulsion between two charges is F = k * (q1 * q2) / r^2, where F is the force, k is Coulomb's constant, q1 and q2 are the charges, and r is the distance between them.
  • The formula for calculating the magnitude of two charges when the force between them is known is q1 * q2 = F * r^2 / k.
  • The formula for calculating the separation distance between two balloons with known charges when the attracting force is known is r = sqrt(F * k / (q1 * q2)).
  • Benjamin Franklin discovered the connection between lightning and electricity.

Capacitance

  • The unit of capacitance is the Farad (F).
  • The unit of electric potential is the Volt (V).
  • The formula for calculating electric potential is V = k * Q / r, where V is the potential, k is Coulomb's constant, Q is the charge, and r is the distance.

Resistance and Ohm's Law

  • The unit of mass is the kilogram (kg).
  • The unit of distance is the meter (m).
  • Ohm's Law states that V = I * R, where V is the voltage, I is the current, and R is the resistance.
  • The formula for calculating the total resistance in a circuit is R_total = R1 + R2 + ... + Rn, where R_total is the total resistance, and R1, R2, ..., Rn are the resistances of individual resistors.
  • The formula for calculating the current in a circuit is I = V / R, where I is the current, V is the voltage, and R is the resistance.

Magnetism and Electromagnetic Induction

  • The largest magnet on Earth is the Earth itself.
  • The right-hand rule states that to determine the direction of the magnetic force on a positive moving charge, point the thumb of the right hand in the direction of v, the fingers in the direction of B, and a perpendicular to the palm points in the direction of F.
  • According to Faraday's law of electromagnetic induction, a changing magnetic field is necessary to induce a current in a nearby circuit.
  • The formula for calculating the induced back emf in volts is ∊ = -N * ΔΦ / Δt, where ∊ is the induced emf, N is the number of turns, ΔΦ is the change in magnetic flux, and Δt is the time.
  • Lenz's law states that the direction of an induced emf will be such that if it were to cause a current to flow in a conductor in an external circuit, then that current would generate a field that would oppose the change that created it.
  • The unit of inductance is the Henry (H).
  • The formula for calculating the change in magnetic flux is ΔΦ = Φ_f - Φ_i, where ΔΦ is the change in magnetic flux, Φ_f is the final magnetic flux, and Φ_i is the initial magnetic flux.

Electromagnetic Induction and AC Circuits

  • The formula for calculating the reactance of a capacitor is X_C = 1 / (2 * Ï€ * f * C), where X_C is the reactance, f is the frequency, and C is the capacitance.
  • The reactance of a capacitor decreases as the frequency of the alternating current increases.
  • The formula for calculating the AC through a capacitor is I = V / X_C, where I is the current, V is the voltage, and X_C is the reactance.

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Test your knowledge on electric force and fields with this quiz. Covering topics such as electric charge, Coulomb's Law, electric field calculations, and more, this quiz will assess your understanding of these fundamental concepts. See if you can solve problems related to electric charges, dipoles, forces, fields, and flux. Get ready to demonstrate your knowledge and skills in this exciting quiz!

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