Q: A long solenoid has 108 turns/cm and carries current i . An electron moves wi
ID: 1680641 • Letter: Q
Question
Q: A long solenoid has 108 turns/cm and carries currenti. An electron moves within the solenoid in a circle ofradius 2.03 cm perpendicular to the solenoid axis. The speed of theelectron is 0.0359c (c = speed of light). Findcurrent i. Give the answer in Ampere (A)and to three decimal places. Q: A long solenoid has 108 turns/cm and carries currenti. An electron moves within the solenoid in a circle ofradius 2.03 cm perpendicular to the solenoid axis. The speed of theelectron is 0.0359c (c = speed of light). Findcurrent i. Give the answer in Ampere (A)and to three decimal places.Explanation / Answer
Given that the number of turns per unit length is n = N/L = 108turns /cm = 10800 turns /m Radius is R = 0.0203 cm = 0.0203*10-2 m speedof electron is v = 0.0359c = 0.0359*3*108m/s ----------------------------------------------------------------------------------------------------- If the electron moving in uniform magnetic field then Bev = mv2 /R B = mv / R*e = (9.11*10-31 kg)(0.0359*3*108 m/s ) /(0.0203*10-2m*1.602*10-19C) = 30.17 *10-2 T The magneticfield inside the solenoid is B = 0*n*I I= B / o*n = 0.3017 T / (4*10-7 T.m /A * 10800 turns/m ) =22.24 ARelated Questions
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