72 Questions
Which of the following is true about Gauss' Law?
The electric flux through any closed surface is proportional to the charge inside the surface.
What is the formula for calculating the electrical force of repulsion between two charges?
$F = k \frac{q_1 q_2}{r^2}$
What is the formula for calculating the magnitude of two charges when the force between them is known?
$q = \sqrt{\frac{F \cdot r}{k}}$
What is the formula for calculating the separation distance between two balloons with known charges when the attracting force is known?
$d = \sqrt{\frac{F \cdot q_1 q_2}{k}}$
What did Benjamin Franklin discover?
Electricity
According to Gauss' Law, the electric flux through any closed surface is proportional to
The charge inside the surface
What is the formula for calculating the electrical force of repulsion between two charges?
$F = k\frac{q_1q_2}{r^2}$
What is the formula for calculating the separation distance between two balloons with known charges when the attracting force is known?
$r = \sqrt{\frac{kq_1q_2}{F}}$
According to Gauss' Law, the electric flux through any closed surface is proportional to
the charge inside the surface
What is the formula for calculating the electrical force of repulsion between two charges?
$F = k\frac{q_1 q_2}{r^2}$
What is the formula for calculating the separation distance between two balloons with known charges when the attracting force is known?
$r = \sqrt{\frac{k q_1 q_2}{F}}$
Which of the following is true about electric potential energy?
It depends on the charge of the object experiencing the electric field.
What is the unit of charge?
Coulomb
What is the unit of capacitance?
Farad
What is the unit of mass?
Kilogram
What is the unit of distance?
Meter
Which of the following is true about capacitors?
Capacitors store electrical energy in an electric field.
What is the unit of electric potential?
Volt
What is the formula for calculating electric potential?
$V = \frac{Q}{C}$
Which one of these is the formula for calculating electric potential?
$V = \frac{1}{4\pi\epsilon_0} \frac{q}{r}$
Which one of these is the unit of distance?
Meter
Which one of these is true about capacitors?
Capacitors store electrical energy in an electric field.
Which one of these is the formula for calculating electric potential energy?
$PE = rac{1}{2}CV^2$
Which one of these is the unit of electric potential?
Volt
According to Gauss' Law, the electric flux through any closed surface is proportional to
The charge enclosed by the surface
Which of the following is the correct formula for calculating the total resistance in a circuit?
$R_T = R1 + R2 + R3 + R$
Which of the following is the correct formula for calculating the current in a circuit?
$I = \frac{V}{R}$
What is the value of $V_1$ in volts if the current flowing through a 6Ω resistor is 2A?
12V
What is the current flowing through a 8Ω resistor if the voltage across it is 30V?
3.75A
What is the total current in a circuit if the currents flowing through three resistors are 7.5A, 5A, and 3.75A?
16.25A
Which of the following is true about Ohm's Law?
The current flowing through a conductor is directly proportional to the voltage across it and inversely proportional to its resistance.
Which of the following is the correct formula for calculating the total resistance in a circuit?
$R_T = R_1 + R_2 + R_3$
What is the formula for calculating the current in a circuit?
$I = \frac{V}{R}$
Which of the following is the correct formula for calculating the total resistance in a circuit?
$R_T = R1 + R2 + R3 + R$
What is the current flowing through a 8Ω resistor if the voltage across it is 30V?
$I = V / R = 30V / 8Ω = 3.75A$
What is the value of $V_1$ in volts if the current flowing through a 6Ω resistor is 2A?
$V_1 = I \cdot R = 2A \cdot 6Ω = 12V$
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?
Right hand rule
What is the largest magnet on Earth?
The Earth itself
Which magnetic pole of a compass needle is attracted to the south magnetic pole of a second magnet?
North magnetic pole
What is the direction of the Earth's north geographic pole in relation to its south magnetic pole?
They are opposite
What is the direction of the magnetic force on a positive moving charge according to the right hand rule?
In the direction of F
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?
Middle finger
Which pole of a compass needle is attracted to the south magnetic pole of a second magnet?
North pole
What is the largest magnet on Earth?
The Earth itself
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 $F$?
Right Hand Rule
What is the largest magnet on Earth?
The Earth itself
Which pole of a compass needle is attracted to the south magnetic pole of a second magnet?
North pole
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?
E = L \cdot \Delta I \cdot \Delta t
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?
I = \frac{E},{R}
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?
\Phi = B \cdot A \cdot \cos(\theta)
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?
Henry (H)
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?
0.65 wb
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?
E = L \cdot \Delta I \cdot \Delta t
What is the formula for calculating the change in magnetic flux?
\Phi = B \cdot A \cdot \cos(\theta)
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?
-28.26 V
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.
oppose
What is the formula for calculating inductance?
L = NΦ/Δt
What is the formula for calculating the induced back emf in volts?
E = LΔI/Δt
Which of the following is true about electromagnetic induction according to Faraday's law?
A changing magnetic field is necessary to induce a current in a nearby circuit.
What is the formula for calculating the change in magnetic flux?
Φ = B A cos(θ)
What is the formula for calculating the induced back emf in volts?
E = - L ΔI/Δt
Which of the following is true about the reactance of a capacitor?
The reactance of a capacitor is expressed in ohms and symbolized by the letter X.
What is the relationship between the reactance of a capacitor and the frequency of the alternating current?
The reactance of a capacitor is inversely proportional to the frequency of the alternating current.
What is the general formula for the reactance of a capacitor?
$X = \frac{1}{2\pi fC}$
What is the general formula for calculating the AC through a capacitor?
$I = \frac{V}{X}$
How does the current through a capacitor change with faster-changing voltages?
The current through a capacitor increases with faster-changing voltages.
Which of the following is true about the reactance of a capacitor?
The reactance of a capacitor is inversely proportional to the frequency of the alternating current.
Which of the following is the general formula for calculating the reactance of a capacitor?
$X = \frac{1}{2\pi fC}$
Which of the following is true about the current through a capacitor in an AC circuit?
The current through a capacitor is inversely proportional to the voltage across it.
Which of the following is true about the reactance of a capacitor in an AC circuit?
The reactance of a capacitor is inversely proportional to the frequency of the alternating current.
Which of the following is true about the current through a capacitor in an AC circuit?
The current through a capacitor is directly proportional to the rate of voltage change.
Which of the following is the correct formula for calculating the reactance of a capacitor?
$X_C = \frac{1}{2 \pi f C}$
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 * π * 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.
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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