List of top Physics Questions on Moving charges and magnetism

Two long parallel straight conductors separated by $10\text{ cm}$ carrying currents $20\text{ A}$, $40\text{ A}$ in the same direction. The work required per unit length to move the conductors apart to $30\text{ cm}$ is [Take $\log_{10} 3 = 0.4771$]:
Magnetic field at $0.1\text{ m}$ from a long straight wire carrying $10\text{ A}$ current is:
Two identical circular coils each of radius \(R\) and number of turns \(N\) are arranged coaxially with a separation of \(R\) between their centers. If the current through each coil is \(I\), then the maximum resultant magnetic field induced at the midpoint of the line joining the centers of the two coils is
The maximum kinetic energy of a proton ejected from a cyclotron with dees of radius \(70\) cm and oscillating frequency \(5\) MHz (in MeV) is \[ (\text{Mass of proton}=1.67\times10^{-27}\text{ kg}) \]
The frequency of electromagnetic waves produced by a charged particle oscillating about its mean position with a frequency of \(10^8\,\text{Hz}\) is
For an LCR series circuit at resonance, the incorrect statement is
When a \(15\,\Omega\) resistor is connected in parallel to a galvanometer, its deflection becomes one-fourth. Then the resistance of the galvanometer is
A circular coil of radius \(10\,\text{cm}\) is carrying a current. From the centre of the coil, the distance of a point on its axis where \[ \frac{dB}{dx} \] becomes maximum is \[ \left( \frac{dB}{dx} \text{ is the rate of change of magnetic field with distance }x \text{ from the centre of the coil} \right) \]
In the given figure, the directions of induced current in a square loop as it enters and leaves a uniform magnetic field respectively are
A magnetic dipole is suspended in a region where two uniform magnetic fields are inclined at \(75^\circ\) with each other. In stable equilibrium, if the dipole makes an angle of \(30^\circ\) with the direction of field of \(10\sqrt2\,\text{mT}\), then the value of the second magnetic field is
How can a galvanometer be converted into a voltmeter? Explain with the help of a circuit diagram.
Following charged particles are projected perpendicular to a uniform magnetic field with same velocity. Which one will experience maximum force?
Explain Ampere's circuital law. Obtain the expression for the magnetic field inside a current carrying solenoid with its help.
How a galvanometer is converted into an ammeter? The resistance of the coil of a galvanometer is 15 Ω and it gives full scale deflection by a current of 4 mA. How it can be converted into an ammeter in order to measure a current upto 6 A?
A coil of one loop is formed by a wire of length \( L \), and thereafter a coil of 3 loops is formed by the same wire. If the current remains the same in both cases, then the ratio of the magnetic fields at the centre will be:

Option 1: With the help of the given figure, prove that the magnetic field produced at point P is \(B=\dfrac{\mu_0 i}{2d}\left[1+\dfrac{2}{\pi}\right]\). (The wire is hairpin-shaped: a semicircular arc joined to two long straight parallel segments carrying current \(i\); P is at the centre of the arc and the straight segments are a distance \(d\) apart.)
OR
Option 2: What is a radial magnetic field? Explain the working of a moving coil galvanometer with a suitable diagram. How can a galvanometer be converted into an ammeter and a voltmeter?
A circular coil of radius 2.0 cm carries a current of 1.0 A. If the coil has 100 turns, find the intensity of magnetic field at the centre of the coil.
Find out the magnetic moment of a rectangular coil of size 20 cm × 10 cm having 10 A current.
Explain Biot-Savart law. Deduce the formula for magnetic field produced due to a straight current carrying conductor.
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An α-particle, accelerated with the potential difference of V volt strikes with a nucleus (atomic number = Z). If r be the nearest distance of closest approach to the nucleus then prove that r = 14·4 Z/V Å.
Obtain the formula for the magnetic field inside a current carrying solenoid with the help of Ampere's circuital law.
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Obtain the formula for moment of couple acting on a magnetic dipole in a magnetic field. Define magnetic dipole moment with the help of this.
Explain the motion of a charged particle in a uniform magnetic field. Prove that the radius of the path of a charged particle moving perpendicular to a uniform magnetic field is proportional to the momentum of the particle.
Deduce the formula of force acting between two parallel current carrying conductors.
An electron of energy 10 eV is revolving round a circular path in a uniform magnetic field of \( 10^{-5} \) tesla. Determine the radius of the circular path.
(Given: mass of electron \( m = 9.1\times10^{-31} \) kg, charge \( e = 1.6\times10^{-19} \) C)
Derive the formula for magnetic field due to an infinitely long current carrying conducting wire using Biot-Savart law.
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Differentiate between self-induction and mutual induction. The current in primary coil becomes zero in \(10^{-3}\) s and an induced e.m.f. of 1500 volts is produced in secondary. Mutual inductance of coils is 0.5 H. Find the value of initial current in the primary.
A narrow electron beam passes undeviated through an electric field of \( 4\times10^{4}\ \text{V/m} \) and a magnetic field \( 2\times10^{-3}\ \text{weber/m}^2 \) applied at the same place. The speed of the electron beam will be: