A proton is moving with a velocity vecv = (3 times 105 hati + 7 times 105 hatk) m/sec in a region where there is a magnetic field vecB = 0.4 hatj T. Find the force experienced by the proton.
A proton is moving with a velocity $\vec{v} = (3 \times 10^5 \hat{i} + 7 \times 10^5 \hat{k})$ m/sec in a region where there is a magnetic field $\vec{B} = 0.4 \hat{j}$ T. Find the force experienced by the proton. [5]
Quantity Value ------ Charge of proton $q = 1.6 \times 10^{-19}$ C Velocity $\vec{v} = (3 \times 10^5,\hat{i} + 7 \times 10^5,\hat{k})$ m/s Magnetic field $\vec{B} = 0.4,\hat{j}$ T The magnetic force is: $$\vec{F} = q(\vec{v} \times \vec{B})$$ Cross product $\vec{v} \times \vec{B}$: $$\vec{v} ...