capacitor and a magnetic field as shown in the diagram below capactoor and e rma

Question

capacitor and a magnetic field as shown in the diagram below capactoor and e rmagnetic fieldeas showighin the dlagram Below. The proton then enters a velocity fite, consisting of a parallel-plat The electric field between the parallel capacitor plates is 1.7.105 N/C and the mass of the proton is 1.67-1o-27 kg. What magnetic field is required so that the proton is not deflected? (Ignore relativistic effects for high velocities.) (in T) A: 6.26×10-2| B: 7.33x10-2 Submit Answer Tries 0/20 : 8.57×10-2| D: 1.00x10-11. E: 1.17x10-1-F: 1.37x10-1| G: 1.61×10-11 H: 1.88×10-1

Explanation / Answer

m = 1.67 * 10-27 Kg, q = 1.6 * 10-19 C,  V = 8000 V

velocity of proton v = sqrt [ 2 e V / m]

= sqrt [ 2 * 8000 * 1.6 * 10-19 C / 1.67 * 10-27]

v = 1.24 * 106 m/s

E = 1.7 * 105 N/C

B = E / v = (1.7 * 105) / (1.24 * 106)   

= 0.137 T = 1.37 * 10-1 T [option F]

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