A particle, of mass 10⁻³ kg and charge 1.0 C, is initially at rest. At time t = 0, the particle comes under the influence of an electric field 𝐄(t) = E₀ sin ωt𝐢 where E₀ = 1.0 N C⁻¹ and ω = 10³ rad s⁻¹. Consider the effect of only the electrical force on the particle. Then the maximum speed, in m s⁻¹, attained by the particle at subsequent times is
Physics · Electrostatic
JEE Advanced 2018

Question

A particle, of mass 10⁻³ kg and charge 1.0 C, is initially at rest. At time t = 0, the particle comes under the influence of an electric field 𝐄(t) = E₀ sin ωt𝐢 where E₀ = 1.0 N C⁻¹ and ω = 10³ rad s⁻¹. Consider the effect of only the electrical force on the particle. Then the maximum speed, in m s⁻¹, attained by the particle at subsequent times is

Physics · Electrostatic

JEE Advanced 2018

G1 Physics · Accepted Answer

Step 1: Use superposition, 𝐄 = Σ[1/(4πε₀)] qᵢ 𝐫ᵢ/rᵢ³, or the appropriate continuous-distribution integral. Step 2: Resolve components and exploit symmetry to cancel components. Step 3: Add the surviving components and compare with the choices. Final: 2. In this specific setup, apply the calculation to: A particle, of mass 10⁻³ kg and charge 1.0 C, is initially at rest. At time t = 0, the particle comes und.