Question 1 and 2 ### Physics Problems Involving Magnetic Fields and Charged Particles1. **Problem 1: Force on a Proton in a Magnetic Field** A proton is entering a magnetic field \( \mathbf{B} = 0.2 \, \mathbf{i} - 0.5 \, \mathbf{j} + 0.4 \, \mathbf{k} \). If the proton moves at \( \mathbf{v} = (4000 \, \mathbf{i} + 5000 \, \mathbf{k}) \) m/s, find the force vector acting on the proton. The charge of the proton is \( 1.6 \times 10^{-19} \, \text{C} \). - a. \( \mathbf{F} = (4000 \, \mathbf{i} + 960 \, \mathbf{j} - 3200 \, \mathbf{k}) \times 10^{-19} \, \text{N} \) - b. \( \mathbf{F} = (4000 \, \mathbf{i} - 960 \, \mathbf{j} + 3200 \, \mathbf{k}) \times 10^{-19} \, \text{N} \) - c. \( \mathbf{F} = (4000 \, \mathbf{i} - 960 \, \mathbf{j} - 3200 \, \mathbf{k}) \times 10^{-19} \, \text{N} \) - d. \( \mathbf{F} = (4000 \, \mathbf{i} + 960 \, \mathbf{j} + 3200 \, \mathbf{k}) \times 10^{-19} \, \text{N} \)2. **Problem 2: Charge Magnitude for a Charged Body in a Magnetic Field** A charged body, moving with a velocity of \( 8.0 \times 10^4 \, \text{m/s} \) at an angle of 30 degrees with respect to the magnetic field of strength \( 5.6 \times 10^{-5} \, \text{T} \), experiences a force of \( 0.00002 \, \text{N} \). What is the magnitude of the charge? - a. \( 8.9 \

Name: Question 1 and 2 ### Physics Problems Involving Magnetic Fields and Ch
Uploaded: 2024-03-05T11:56:34.000Z
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Description: Question 1 and 2 ### Physics Problems Involving Magnetic Fields and Charged Particles1. **Problem 1: Force on a Proton in a Magnetic Field** A proton is entering a magnetic field \( \mathbf{B} = 0.2 \, \mathbf{i} - 0.5 \, \mathbf{j} + 0.4 \, \ma

To find the force vector acting on the protonB=0.2i-0.5j+0.4kv=(4000i+5000k) m/sq=1.6×10-19Force=q(v×B) =1.6×10-19 ijk4000050000.2-0.50.4 N =1.6×10-19[i(2500)-j(600)-k(2000)] N =(4000i-960j-3200k)×10-19 NTherefore the vector force acting on proton is (4000i-960k-3200k)×10-19 N