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Magnetic Fields & Electromagnetism

Question 1
Physics C: E&M (2025)APConcept Practice
1 mark

A positive charge is moving with a velocity v⃗\vec{v}v perpendicular to the position vector r⃗\vec{r}r. According to the right-hand rule, what is the direction of the magnetic field at the location specified by r⃗\vec{r}r?

Question 2
Physics C: E&M (2025)APConcept Practice
1 mark

A particle with charge q=3.2×10−19Cq = 3.2 \times 10^{-19} Cq=3.2×10−19C moves with a velocity of v⃗=(5×105m/s)i^\vec{v} = (5 \times 10^5 m/s) \hat{i}v=(5×105m/s)i^ at a location r⃗\vec{r}r from the origin. What is the magnitude of the magnetic field at a point where the angle between v⃗\vec{v}v and r⃗\vec{r}r is 90 degrees, given that B=(μ0qvsin(θ))/(4πr2)B = (\mu_0 q v sin(\theta)) / (4 \pi r^2)B=(μ0​qvsin(θ))/(4πr2) and r=0.1mr = 0.1 mr=0.1m?

Question 3
Physics C: E&M (2025)APConcept Practice
1 mark

Two identical positive charges are moving with the same speed vvv. Charge 1 is located at (0, a, 0) and moving in the +x direction, and Charge 2 is located at (0, -a, 0) and moving in the +x direction. What is the direction of the net magnetic field at the origin (0, 0, 0)?

Question 4
Physics C: E&M (2025)APConcept Practice
1 mark

A negative charge is moving to the right in a uniform magnetic field that points upwards. What is the direction of the magnetic force on the charge?

Question 5
Physics C: E&M (2025)APConcept Practice
1 mark

An electron (q=−1.6×10−19Cq = -1.6 \times 10^{-19} Cq=−1.6×10−19C) moves with a velocity v⃗=(3×106m/s)i^\vec{v} = (3 \times 10^6 m/s) \hat{i}v=(3×106m/s)i^ in a uniform magnetic field B⃗=(0.2T)j^\vec{B} = (0.2 T) \hat{j}B=(0.2T)j^​. Calculate the magnetic force vector acting on the electron.

Question 6
Physics C: E&M (2025)APConcept Practice
1 mark

A proton moves through a region with a spatially varying magnetic field given by B⃗=(x2i^+yj^)T\vec{B} = (x^2 \hat{i} + y \hat{j}) TB=(x2i^+yj^​)T. If the proton's velocity is v⃗=v0k^\vec{v} = v_0 \hat{k}v=v0​k^, what is the magnetic force on the proton when it is located at (1, 1, 0)?

Question 7
Physics C: E&M (2025)APConcept Practice
1 mark

A charged particle moves with a constant velocity through a region where both electric and magnetic fields are present. If the electric and magnetic forces on the particle are in opposite directions, what can be said about the net force on the particle?

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Question 8
Physics C: E&M (2025)APConcept Practice
1 mark

A proton with a charge of 1.6 \times 10^{-19} C moves with a velocity of v⃗=(2×105m/s)i^\vec{v} = (2 \times 10^5 m/s) \hat{i}v=(2×105m/s)i^ in a region with an electric field E⃗=(100V/m)j^\vec{E} = (100 V/m) \hat{j}E=(100V/m)j^​ and a magnetic field B⃗=(0.5T)k^\vec{B} = (0.5 T) \hat{k}B=(0.5T)k^. Calculate the net force vector on the proton.

Question 9
Physics C: E&M (2025)APConcept Practice
1 mark

An electron moves through perpendicular electric and magnetic fields. The electric field is 100 V/m and the magnetic field is 0.5 T. What velocity must the electron have to pass through undeflected?

Question 10
Physics C: E&M (2025)APConcept Practice
1 mark

In the Hall effect, a magnetic field is applied perpendicular to a current-carrying conductor. What is the primary result of this effect?