WILL give LIFESAVER rating for correct answer with correctunits!!! At a particul
ID: 1671524 • Letter: W
Question
WILL give LIFESAVER rating for correct answer with correctunits!!! At a particular instant, a proton at the origin has a velocity< 4e4, -4e4, 0 >m/s. You need to calculate the magneticfield at location < 0.03, 0.06 , 0 >m, due to the movingproton. What is the magnetic field at the observation location, due tothe moving proton? **** please provide answers with the proper unitsindicated :) thanks!WILL give LIFESAVER rating for correct answer with correctunits!!! At a particular instant, a proton at the origin has a velocitym/s. You need to calculate the magneticfield at location m, due to the movingproton. What is the vector r ? r = m What is the unit vector r ? r = What is Vxr? vxr = m/s What is the magnetic field at the observation location, due tothe moving proton? B = T **** please provide answers with the proper unitsindicated :) thanks!
Explanation / Answer
1.position vector r = ( 0.03 i + 0.06 j + 0 k ) m 2.Unit vector r = r / |r| = 0.4472i + 0.8944 j + 0 k 3. V x r = ( 4 x 104 i - 4 x 104 j + 0 ) x ( 0.4472 i + 0.8944 j + 0 k ) = 5.366 x 104 k m/s 4. B = m V / q r = [ 1.67 x 10-27 * 5.656 x102 / 1.6 x10-19 * 0.0670 ] = 0.08811 x 10-3 T
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