Answer:
N = 195 turns
Explanation:
The inductance of the inductor, L = 500 μH = 500 * 10⁻⁶H
The length of the tube, l = 12 cm = 0.12 m
The diameter of the tube, d = 4 cm = 0.04 m
Radius, r = 0.04/2 = 0.02 m
Area of the tube, A = πr² = 0.02²π = 0.0004π m²
The inductance of a solenoid is given by:
The speed of a proton after it accelerates from rest through a potential difference of 350 V is .
Initial velocity of the proton
Given potential difference
let's assume that the speed of the proton is ,
Since the proton is accelerating through a potential difference, proton's potential energy will change with time. The potential energy of a particle of charge when accelerated with a potential difference
is,
Due to Work-Energy Theorem and Conservation of Energy - <em>If there is no non-conservative force acting on a particle then loss in Potential energy P.E must be equal to gain in Kinetic Energy K.E</em> i.e
If the initial and final velocity of the proton is and
respectively then,
change in Kinetic Energy
change in Potential Energy
from conservation of energy,
so,
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