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ISC Class 12 Moving Charges and Magnetism — practice questions — page 3

Explore 133 free Moving Charges and Magnetism questions in ISC Class 12 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 61–90 of 133.

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 →A cyclotron of dee radius R accelerates ions of charge q, mass m in a magnetic field B. The maximum kinetic energy isRead the answer and worked solution →A circular loop of radius R carries current I. The magnetic field at a point on its axis at distance x from the centre isRead the answer and worked solution →At the very end of a long solenoid, the magnetic field along the axis isRead the answer and worked solution →A magnetic dipole with moment m makes angle θ with a uniform field B. The torque on the dipole has magnitudeRead the answer and worked solution →An electron moves east in a magnetic field directed north. The magnetic force on the electron pointsRead the answer and worked solution →A cyclotron operates at frequency f in a magnetic field B. The charge-to-mass ratio of the accelerated ion isRead the answer and worked solution →Cyclotrons are not used to accelerate electrons becauseRead the answer and worked solution →A charge q moves with velocity v through a region with electric field E and magnetic field B. The net electromagnetic force on it isRead the answer and worked solution →Reading the Lorentz forceRead the answer and worked solution →Force on a current wireRead the answer and worked solution →The current carrying conductorRead the answer and worked solution →The cyclotron machineRead the answer and worked solution →Formula to what it describesRead the answer and worked solution →Using Biot-SavartRead the answer and worked solution →Odd one out: magnetismRead the answer and worked solution →Which is largerRead the answer and worked solution →Odd one out: what a current doesRead the answer and worked solution →Zero work, changing directionRead the answer and worked solution →Moving charges, mixed checkRead 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 Lorentz forceRead the answer and worked solution →A long solenoid has 1000 turns per metre and carries 2 A. The magnetic field strength inside isRead the answer and worked solution →A square coil of side 0.1 m, with 50 turns, carries 1 A in a 0.2 T field. The maximum torque on the coil isRead the answer and worked solution →Charge in a uniform fieldRead the answer and worked solution →Count and computeRead the answer and worked solution →Field of a circular coilRead the answer and worked solution →NEET · Physics · Right-Hand RulesRead 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 →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 →

Worked practice questions

An electron enters a uniform magnetic field B at angle θ to B with speed v. The pitch of its helical path is

  1. 2πm v sin θ / (eB)
  2. 2πm v cos θ / (eB)
  3. 2πm v / (eB)
  4. m v cos θ / (eB)
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Correct answer: B. 2πm v cos θ / (eB)

1. Decompose velocity: parallel v∥ = v cos θ and perpendicular v⊥ = v sin θ. 2. The perpendicular component drives circular motion with period T = 2πm/(eB). 3. The parallel component moves the centre of the circle linearly at v cos θ. 4. Pitch = distance moved along the axis in one period = v cos θ · T = 2πm v cos θ/(eB). _Source: syllabus Physics Ch 4 "Moving Charges and Magnetism", §4.3_

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A cyclotron of dee radius R accelerates ions of charge q, mass m in a magnetic field B. The maximum kinetic energy is

  1. qBR
  2. q²B²R²/(2m)
  3. qBR²/(2m)
  4. q²B²/(2mR)
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Correct answer: B. q²B²R²/(2m)

1. At the edge of the dees, the orbit radius equals R: qvB = mv²/R gives v_max = qBR/m. 2. Kinetic energy K = ½ m v_max². 3. Substitute v_max: K = ½ m (qBR/m)². 4. Simplify: K = q²B²R²/(2m). This is the maximum extracted KE. _Source: syllabus Physics Ch 4 "Moving Charges and Magnetism", §4.4.2_

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A circular loop of radius R carries current I. The magnetic field at a point on its axis at distance x from the centre is

  1. μ₀IR² / 2(R²+x²)^(3/2)
  2. μ₀I(R²+x²)^(1/2) / 2R²
  3. μ₀IR / 2(R²+x²)
  4. μ₀I / 2R
Show answer and solution

Correct answer: A. μ₀IR² / 2(R²+x²)^(3/2)

1. Apply Biot-Savart to each current element on the loop; vertical components cancel by symmetry. 2. Each element contributes dB·sin α along the axis, where sin α = R/(R²+x²)^(1/2). 3. Integrating around the loop gives B = μ₀IR² / (2(R²+x²)^(3/2)). 4. At x = 0 the formula reduces to μ₀I/(2R), as expected for the centre. _Source: syllabus Physics Ch 4 "Moving Charges and Magnetism", §4.6_

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