Question

5. (15 points) There are two charges shown below. Both are protons. Both charges have a velocity of 4x106 m/s as shown. Answer the following: a. What is the magnetic field generated by charge 1 at charge 2? b. What is the magnetic force on charge 2 at the instance shown? c. What is the net force on charge 2 at the instance shown? Q2 I 0.06 m 01

Answer 1

5. We have Dať Here in 1 second the charge of a protons flows through .22 charge of proton - 1 6+10 19 C/ *) Magnetic field of a point chobent carrying a Moh point due to Condecto, ilf we Consider only the charge a, then magnetic field at charge a Mox 1.6x 1 by charge is 2T X 016 Mo 40x lo? : B at Q2 due to Q, = 2 GTX x 1.6810 20% 0.06 5.333x / 26

= 5.333 x 16 25 6. Magnetic force on Q2 due to Qiafa Since feld due to ing peopendicular to the Sin e-Sin 9 = 1 Here since there are only for cheoges, 2117 5.333x 10 x 1.68 16 = 8.5328x1600 N c. Electrical / coloumb force on charge a due to charge I at the intenta 9x109 x C 1.6+10-19) ² = 6.481026N Magnetic fore en charge a due 6 charge ! at the instinta 8.632 8x to N

2 at the Instant :. Net force on charge (6.40 4x 620) + (8.5328x10 = 6.481026 N
To find the force we have to find the vector sum of electric field and magnetic field.Here i have directly added the magnitudes.In lorentz force equation the vector sum is taken.similarly , vector sum should be taken here.