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AP Intermediate 2nd Year Moving Charges and Magnetism — practice questions

Explore 188 free Moving Charges and Magnetism questions in AP Intermediate 2nd Year Physics. Open each question or exercise to read its content, reference answers and available explanation.

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Moving Charges and Magnetism questions and exercises with answers

Showing questions 1–30 of 188.

A $50$-turn coil has a magnetic flux changing through it at a uniform rate of $4 \times 10^{-3}\,\text{Wb/s}$. The induced EMF in the coil is:Read the answer and worked solution →Lenz's law is a direct consequence of:Read the answer and worked solution →The SI unit Henry (H) is equivalent to:Read the answer and worked solution →The self-inductance of a long air-cored solenoid of length $\ell$, cross-sectional area $A$ and total number of turns $N$ is:Read the answer and worked solution →The energy stored in an inductor of inductance $L$ carrying a steady current $I$ is:Read the answer and worked solution →An ideal LC circuit oscillates freely. If $L = 4\,\text{mH}$ and $C = 25\,\mu\text{F}$, the angular frequency of oscillation is:Read the answer and worked solution →A bismuth bar near a strong magnet on the lab table is:Read the answer and worked solution →A long straight wire carries $5$ A. The magnetic field $0.10$ m away from the wire is:Read the answer and worked solution →The magnetic force on a charge $q$ moving with velocity $\vec{v}$ in a magnetic field $\vec{B}$ isRead the answer and worked solution →A positive charge moves with velocity $\vec{v}$ PARALLEL to a uniform magnetic field $\vec{B}$. The magnetic force on it isRead the answer and worked solution →The magnetic field at the CENTRE of a circular current loop of radius $R$ carrying current $I$ isRead the answer and worked solution →Inside a long solenoid carrying current $I$ with $n$ turns per unit length, the magnetic field isRead the answer and worked solution →A current loop of area $A$ carrying current $I$ has a MAGNETIC MOMENT of magnitudeRead the answer and worked solution →The magnetic field at a distance $r$ from a LONG STRAIGHT wire carrying current $I$ isRead the answer and worked solution →A charged particle moves with velocity v parallel to a uniform magnetic field B. The magnetic force on the particle isRead the answer and worked solution →A circular loop of radius R carries current I. The magnitude of the magnetic field at its centre isRead the answer and worked solution →The angular frequency of a particle of charge q and mass m moving in a cyclotron with magnetic field B isRead the answer and worked solution →Two long parallel wires carry currents in the same direction. They willRead the answer and worked solution →The magnetic field inside an ideal long solenoid with n turns per unit length carrying current I isRead the answer and worked solution →In a crossed E and B velocity selector, a charged particle of speed v passes undeflected when v equalsRead the answer and worked solution →A proton of mass m, charge e, speed v enters a magnetic field B perpendicular to its velocity. The radius of its circular path isRead the answer and worked solution →A rectangular current loop is placed in a uniform magnetic field. The net force on the loop isRead the answer and worked solution →A circular coil of N turns and radius R carries current I. Its magnetic dipole moment isRead the answer and worked solution →The magnitude of the magnetic field at perpendicular distance r from an infinite straight wire carrying current I isRead the answer and worked solution →The magnetic field inside a toroidal solenoid with N total turns, mean radius r, carrying current I isRead the answer and worked solution →The period of revolution of a charged particle moving in a uniform magnetic field perpendicular to its velocity isRead the answer and worked solution →A 0.5 m wire carrying 2 A is placed perpendicular to a 0.4 T magnetic field. The force on the wire isRead the answer and worked solution →Two long parallel wires 0.1 m apart carry 5 A and 10 A in the same direction. The force per unit length on each wire isRead the answer and worked solution →At equilibrium, the deflection ϕ of a moving coil galvanometer with N turns, area A, current I, in a radial magnetic field B and spring constant k satisfiesRead the answer and worked solution →An electron enters a uniform magnetic field B at angle θ to B with speed v. The pitch of its helical path isRead the answer and worked solution →

Worked practice questions

A $50$-turn coil has a magnetic flux changing through it at a uniform rate of $4 \times 10^{-3}\,\text{Wb/s}$. The induced EMF in the coil is:

  1. $1.00\,\text{V}$
  2. $0.20\,\text{V}$
  3. $0.05\,\text{V}$
  4. $0.10\,\text{V}$
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Correct answer: B. $0.20\,\text{V}$

Faraday's law: $|\varepsilon| = N \dfrac{d\Phi}{dt} = 50 \times 4 \times 10^{-3} = 0.20\,\text{V}$.

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Lenz's law is a direct consequence of:

  1. Conservation of energy
  2. Conservation of charge
  3. Conservation of magnetic flux
  4. Conservation of momentum
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Correct answer: A. Conservation of energy

If the induced current did not oppose the change in flux, the system would gain energy without any external work being done, creating a perpetual-motion situation. The negative sign in $\varepsilon = -d\Phi/dt$ enforces conservation of energy by ensuring that work has to be done against the induced effects.

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The SI unit Henry (H) is equivalent to:

  1. $\text{Wb}\cdot\text{A}$
  2. $\text{V}\cdot\text{s}\cdot\text{A}^{-1}$
  3. $\text{T}\cdot\text{m}^2$
  4. $\text{V}\cdot\text{A}^{-1}$
Show answer and solution

Correct answer: B. $\text{V}\cdot\text{s}\cdot\text{A}^{-1}$

From $\varepsilon = -L \dfrac{dI}{dt}$, $L$ has units of $\text{V}/(\text{A/s}) = \text{V}\cdot\text{s}\cdot\text{A}^{-1}$. This is the same as $\text{Wb}/\text{A}$ since $1\,\text{Wb} = 1\,\text{V}\cdot\text{s}$.

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