An electron with velocity v = (v_x i +v_y j ) moves through a magnetic field B = (B_x i…

Physics · Class 12 · CBSEMoving Charges and Magnetism

An electron with velocity \(\vec{v}=\left(v_x \hat{i}+v_y \hat{j}\right)\) moves through a magnetic field \(\vec{B}=\left(B_x \hat{i}-B_y \hat{j}\right)\) . The force \(\vec{\mathrm{F}}\) on the electron is : (e is the magnitude of its charge)

  1. \(-e\left(v_x B_y-v_y B_x\right) \hat{k}\)
  2. \(e\left(v_x B_y+v_y B_x\right) \hat{k}\)
  3. \(-e\left(v_x B_y+v_y B_x\right) \hat{k}\)
  4. \(e\left(v_x B_y-v_y B_x\right) \hat{k}\)

Answer

(B) e (v_x B_y+v_y B_x ) k

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