1. A proton, that is accelerated from rest through a potential of 13.0 kV enters
ID: 1341795 • Letter: 1
Question
1. A proton, that is accelerated from rest through a potential of 13.0 kV enters the velocity filter, consisting of a parallel-plate capacitor and a magnetic field, shown below.
The E-field between the parallel capacitor plates is 3.9·105 N/C. What B-field is required so that the protons are not deflected? (Ignore relativistic effects for high velocities.)
2. The rectangular loop shown below, carrying the current I, is located in a uniform magnetic field of 0.50 T pointing in the negative y direction.
a. What is the magnitude of the magnetic dipole moment of the loop? Use the following data: h = 7.0 cm, w = 5.0 cm, ? = 37.5°, I = 6.5 A.
b. Calculate the magnitude of the torque about the z-axis on the loop.
Explanation / Answer
here,
V = 13 kV = 13000 V
Mp = 1.67 * 10^-27 kg
Q = 1.602 * 10^-19 C
E = 3.9*10^5 N/C
Potential Energy = Kinetic Energy
Q*V = 1/2 * mp * V^2
V = sqrt( 2*Q*V / mp )
V = sqrt( 2*1.602 * 10^-19*13000 / (1.67 * 10^-27) )
V = 1.579 * 10^6 m/s
As V = E / B
B = V / E
B = (1.579 * 10^6) / (3.9*10^5)
B = 4.048 T
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