Applications of Vectors: Magnetic Force A magnetic field exerts a force on a moving charge. Given a

Question

Applications of Vectors: Magnetic Force A magnetic field exerts a force on a moving charge. Given a charge of $q$ coulombs moving with velocity $\mathbf{v}$, measured in ms$^{-1}$, in a magnetic field $\mathbf{B}$, measured in Teslas, the force, $\mathbf{F}$ on the charge is given by $\mathbf{F}=q\left( \mathbf{v}	imes \mathbf{B} ight)$, where $\mathbf{F}$ is measured in Newtons. A charge of $1.6	imes {{10}^{-19}}$ coulombs is moving with a speed of $3	imes {{10}^{6}}$ ms$^{-1}$ in the direction of the vector $2\mathbf{i}+2\mathbf{j}+\mathbf{k}$. The charge is moving in a region where the magnetic field is $\mathbf{B}=4\mathbf{i}+2\mathbf{j}-3\mathbf{k}$. Find the force $\mathbf{F}$ acting on the charge and the magnitude of this force. [4]

Accepted Answer

2.15 × 10⁻¹² N

ACJC Applications of Vectors: Magnetic Force Assignment Q1

ACJC Applications of Vectors: Magnetic Force Assignment Q1

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