Magnetic Flux - AP Physics C: Electricity and Magnetism
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What condition must be met for magnetic flux to be constant?
What condition must be met for magnetic flux to be constant?
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$B$, $A$, and $\theta$ remain constant. All three variables must be unchanging.
$B$, $A$, and $\theta$ remain constant. All three variables must be unchanging.
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State the concept of magnetic flux linkage.
State the concept of magnetic flux linkage.
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Flux linkage is $N \cdot \Phi_B$ where $N$ is the number of turns. Total flux through all turns of a coil.
Flux linkage is $N \cdot \Phi_B$ where $N$ is the number of turns. Total flux through all turns of a coil.
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How does the magnetic flux change if the magnetic field is parallel to the surface?
How does the magnetic flux change if the magnetic field is parallel to the surface?
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Magnetic flux is zero. When $\theta = 90°$, $\cos(90°) = 0$.
Magnetic flux is zero. When $\theta = 90°$, $\cos(90°) = 0$.
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How does the angle $\theta$ affect the sign of magnetic flux?
How does the angle $\theta$ affect the sign of magnetic flux?
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Changes in $\theta$ do not affect the sign unless $\theta > 90°$. Flux becomes negative when $\theta > 90°$.
Changes in $\theta$ do not affect the sign unless $\theta > 90°$. Flux becomes negative when $\theta > 90°$.
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Identify the unit of magnetic flux in the SI system.
Identify the unit of magnetic flux in the SI system.
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Weber (Wb). Named after Wilhelm Weber, fundamental magnetic unit.
Weber (Wb). Named after Wilhelm Weber, fundamental magnetic unit.
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What is the effect of decreasing the angle $\theta$ on magnetic flux?
What is the effect of decreasing the angle $\theta$ on magnetic flux?
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Magnetic flux increases. Smaller angle increases $\cos(\theta)$ value.
Magnetic flux increases. Smaller angle increases $\cos(\theta)$ value.
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Calculate magnetic flux for $B = 4 T$, $A = 3 m^2$, $\theta = 60°$.
Calculate magnetic flux for $B = 4 T$, $A = 3 m^2$, $\theta = 60°$.
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$\Phi_B = 6 , Wb$. $\Phi_B = 4 \times 3 \times \cos(60°) = 4 \times 3 \times 0.5 = 6$ Wb.
$\Phi_B = 6 , Wb$. $\Phi_B = 4 \times 3 \times \cos(60°) = 4 \times 3 \times 0.5 = 6$ Wb.
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What is the effect of increasing $\theta$ from $0°$ to $90°$ on magnetic flux?
What is the effect of increasing $\theta$ from $0°$ to $90°$ on magnetic flux?
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Magnetic flux decreases to zero. Cosine decreases from 1 to 0 continuously.
Magnetic flux decreases to zero. Cosine decreases from 1 to 0 continuously.
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Find the magnetic flux when $B = 5 T$, $A = 1 m^2$, and $\theta = 90°$.
Find the magnetic flux when $B = 5 T$, $A = 1 m^2$, and $\theta = 90°$.
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$\Phi_B = 0 , Wb$. $\cos(90°) = 0$, so flux is zero.
$\Phi_B = 0 , Wb$. $\cos(90°) = 0$, so flux is zero.
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What happens to magnetic flux when $\theta = 90°$?
What happens to magnetic flux when $\theta = 90°$?
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$\Phi_B = 0$. Perpendicular orientation makes $\cos(90°) = 0$.
$\Phi_B = 0$. Perpendicular orientation makes $\cos(90°) = 0$.
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Determine the effect on magnetic flux if the magnetic field direction is reversed.
Determine the effect on magnetic flux if the magnetic field direction is reversed.
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Flux changes sign. Field reversal changes flux direction only.
Flux changes sign. Field reversal changes flux direction only.
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What does $B$ represent in the formula for magnetic flux?
What does $B$ represent in the formula for magnetic flux?
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Magnetic field strength. Magnetic field strength is measured in Tesla (T).
Magnetic field strength. Magnetic field strength is measured in Tesla (T).
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State the relationship between Tesla and Weber.
State the relationship between Tesla and Weber.
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$1 Wb = 1 T \cdot 1 m^2$. One Weber equals one Tesla times one square meter.
$1 Wb = 1 T \cdot 1 m^2$. One Weber equals one Tesla times one square meter.
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State the concept of magnetic flux linkage.
State the concept of magnetic flux linkage.
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Flux linkage is $N \cdot \Phi_B$ where $N$ is the number of turns. Total flux through all turns of a coil.
Flux linkage is $N \cdot \Phi_B$ where $N$ is the number of turns. Total flux through all turns of a coil.
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What does $\theta$ represent in the formula $\Phi_B = B \cdot A \cdot \cos(\theta)$?
What does $\theta$ represent in the formula $\Phi_B = B \cdot A \cdot \cos(\theta)$?
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Angle between $\vec{B}$ and the normal to the surface. Determines how much field passes through the surface.
Angle between $\vec{B}$ and the normal to the surface. Determines how much field passes through the surface.
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In what scenario is the magnetic flux through a loop zero?
In what scenario is the magnetic flux through a loop zero?
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If magnetic field lines are parallel to the loop's plane. Field lines don't pass through the loop area.
If magnetic field lines are parallel to the loop's plane. Field lines don't pass through the loop area.
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In what situation is there no magnetic flux through a loop?
In what situation is there no magnetic flux through a loop?
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When the loop is parallel to the magnetic field. Loop plane parallel to field gives zero flux.
When the loop is parallel to the magnetic field. Loop plane parallel to field gives zero flux.
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What happens to magnetic flux if the area vector is aligned with $\vec{B}$?
What happens to magnetic flux if the area vector is aligned with $\vec{B}$?
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Magnetic flux is maximized. Parallel alignment gives $\theta = 0°$, maximum flux.
Magnetic flux is maximized. Parallel alignment gives $\theta = 0°$, maximum flux.
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What is the effect of increasing area on magnetic flux if $B$ and $\theta$ are constant?
What is the effect of increasing area on magnetic flux if $B$ and $\theta$ are constant?
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Magnetic flux increases. Flux is directly proportional to area.
Magnetic flux increases. Flux is directly proportional to area.
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Identify the magnetic flux through a closed surface.
Identify the magnetic flux through a closed surface.
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Zero (Gauss's Law for Magnetism). No magnetic monopoles exist in nature.
Zero (Gauss's Law for Magnetism). No magnetic monopoles exist in nature.
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What effect does a changing magnetic field have on magnetic flux?
What effect does a changing magnetic field have on magnetic flux?
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It causes magnetic flux to change. Flux varies with time-dependent field.
It causes magnetic flux to change. Flux varies with time-dependent field.
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What aspect of a surface affects the amount of magnetic flux through it?
What aspect of a surface affects the amount of magnetic flux through it?
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Orientation and size of the surface. Both factors directly affect flux magnitude.
Orientation and size of the surface. Both factors directly affect flux magnitude.
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How is magnetic flux affected if the loop is rotated by $180°$?
How is magnetic flux affected if the loop is rotated by $180°$?
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Flux changes sign, magnitude is unchanged. Normal vector flips direction, reversing flux sign.
Flux changes sign, magnitude is unchanged. Normal vector flips direction, reversing flux sign.
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What happens to magnetic flux if the area is doubled and $B$ and $\theta$ are constant?
What happens to magnetic flux if the area is doubled and $B$ and $\theta$ are constant?
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Magnetic flux doubles. Flux is directly proportional to area.
Magnetic flux doubles. Flux is directly proportional to area.
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If $A = 0$, what is the magnetic flux through the surface?
If $A = 0$, what is the magnetic flux through the surface?
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$\Phi_B = 0$. Zero area means no field can pass through.
$\Phi_B = 0$. Zero area means no field can pass through.
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What happens to magnetic flux if the area vector is perpendicular to $\vec{B}$?
What happens to magnetic flux if the area vector is perpendicular to $\vec{B}$?
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Magnetic flux is maximized. When $\theta = 0°$, $\cos(0°) = 1$ gives maximum flux.
Magnetic flux is maximized. When $\theta = 0°$, $\cos(0°) = 1$ gives maximum flux.
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State the definition of magnetic flux.
State the definition of magnetic flux.
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Measure of total magnetic field passing through an area. Quantifies magnetic field penetration through surfaces.
Measure of total magnetic field passing through an area. Quantifies magnetic field penetration through surfaces.
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How does changing the angle $\theta$ affect the magnetic flux?
How does changing the angle $\theta$ affect the magnetic flux?
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Flux decreases as $\theta$ increases from $0°$ to $90°$. Cosine function decreases from 1 to 0.
Flux decreases as $\theta$ increases from $0°$ to $90°$. Cosine function decreases from 1 to 0.
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What is the formula for magnetic flux through a loop with $N$ turns?
What is the formula for magnetic flux through a loop with $N$ turns?
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$N \cdot \Phi_B = N \cdot (B \cdot A \cdot \cos(\theta))$. Multiplies single-turn flux by number of turns.
$N \cdot \Phi_B = N \cdot (B \cdot A \cdot \cos(\theta))$. Multiplies single-turn flux by number of turns.
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Determine the magnetic flux if $B = 0$.
Determine the magnetic flux if $B = 0$.
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$\Phi_B = 0$. No magnetic field means no flux.
$\Phi_B = 0$. No magnetic field means no flux.
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