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Moving Charges & Magnetism formula sheet

Every formula in the Moving Charges & Magnetism chapter for JEE Main, with one line on when it applies. Topic 1 is open to everyone; sign in free to read all 32 and download the PDF.

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How we count: 7× asked means 7 past JEE Main questions in the PrepWiser bank needed that formula, and "last" is the latest year one appeared. ★ marks formulas asked 8 or more times.

Lorentz force

Lorentz force
18× asked, last 2026
F⃗=q(E⃗+v⃗×B⃗),∣FB∣=qvBsin⁡θ\vec F=q(\vec E+\vec v\times\vec B),\qquad |F_B|=qvB\sin\theta
θ\theta between v⃗\vec v and B⃗\vec B; q=−eq=-e for an electron. v⃗∥B⃗\vec v\parallel\vec B: no force.
Magnetic force does no work
7× asked, last 2026
P=F⃗B⋅v⃗=0,ΔK=∫qE⃗⋅dl⃗P=\vec F_B\cdot\vec v=0,\qquad \Delta K=\int q\vec E\cdot d\vec l
Speed constant in any B⃗\vec B; only E⃗\vec E changes KE.
Velocity selector
5× asked, last 2025
qE=qvB ⇒ v=EBqE=qvB\ \Rightarrow\ v=\frac EB
Crossed fields; passes any qq, mm at this speed.

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Practise Moving Charges & Magnetism

29 more formulas in 6 topics

Charge in a uniform magnetic field; Biot–Savart law; Ampère's law, solenoid and toroid; Force on current-carrying conductors; Current loop as a magnetic dipole; and Moving coil galvanometer and meters. Read the first part free. Sign in free with Google to read the rest and download the PDF.

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Charge in a uniform magnetic field

  • Radius of the path18×
  • Period and frequency11×
  • Helical path5×
  • Crossing a field strip4×
  • Orbiting charge as a magnet

Biot–Savart law

  • Biot–Savart law4×
  • Finite straight wire11×
  • Infinite and semi-infinite wire16×
  • Regular polygon at its centre8×
  • Arc at its centre13×
  • Circular loop: centre and axis22×
  • Flat spiral

Ampère's law, solenoid and toroid

  • Ampère's circuital law4×
  • Long solid wire9×
  • Thick tube
  • Hollow cylinder; coaxial cable3×
  • Long solenoid10×
  • Toroid

Force on current-carrying conductors

  • Force on a wire12×
  • Rod on a smooth incline
  • Force between parallel wires6×

Current loop as a magnetic dipole

  • Magnetic moment of a loop8×
  • Torque and energy7×
  • Orbiting or spinning charge

Moving coil galvanometer and meters

  • Moving coil galvanometer5×
  • Current and voltage sensitivity7×
  • Figure of merit; half deflection3×
  • Ammeter16×
  • Voltmeter8×

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Practise Moving Charges & Magnetism

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