Govt. Exams
Entrance Exams
B = μ₀nI = μ₀(N/L)I = 4π × 10⁻⁷ × 1000 × 2 = 8π × 10⁻⁴ T
r ∝ 1/B. When B is doubled, r becomes r/2
Magnetic force F = qvB. Since both have same charge magnitude and velocity, forces are equal in magnitude (directions opposite due to opposite charges)
Parallel currents in same direction attract each other with force per unit length F/L = μ₀I₁I₂/(2πd)
Using Biot-Savart law for a circular loop, the magnetic field at center is B = μ₀I/(2R)
Bismuth is a diamagnetic material that gets repelled by magnetic fields. Iron, cobalt, and nickel are ferromagnetic materials.
Using Faraday's law: EMF = ΔΦ/Δt = BA/Δt = 2 × (0.05 × 0.1)/0.1 = 1 V
Transformer equation: V₂/V₁ = N₂/N₁ (ideal transformer with no losses)
Magnetic moment of a current loop: μ = IA, where I is current and A is area of the loop
Cyclotron frequency: f = qB/(2πm) = ω/(2π), where ω = qB/m is the angular frequency