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Velocity Delca equation
Q= It ----------------1
Q=w/v --------------2
Combine 1 and 2
It = w/v
W = VIt------3
Substitute v as IR In equation 3 using ohms law v=IR
W = RI²t --------‐---4
Let us take the work done to be the electron moved or displaced by the force of attraction of opposite charges be δ
W = δS ----------------5
Combine 4 and 5
δS = RI²t
S = RI²t / δ
S/t = RI²/ δ
S is displacement if S is divided by time it show rate of change of position i.e velocity
S/t = V
Substitute S/t as V
So V = RI²/δ
Moment Delca equation If V = RI²/δ ------------‐‐‐1 Momentum is equal to the product of mass and velocity P=mv --------------------2 Substitute v as RI²/δ Combine 1 and 2 P = mRI²/δ
Velocity function of electron
If electron revole around a atom in a circular manner then displacement would be
S =θ/360° ×2πr -------------1
Velocity Delca equation V = RI²/δ----------------2 Workdone is equal to product of force (consider attraction force ) and displacement
W = δs -------------------3
Combine 2 and 3
δ = W/s
V= RI²/W/s V= RI²s/W ---------------3 Combine 1 and 3 V = RI²θ/360° ×2πr/W V = 2πrθRI² / 360° W
V = 2πrθRI² / 360° W
Momentum function of electron
Second law of Newton P=mv ----------------1
Velocity function of electron V = 2πrθRI² / 360° W -------------2 Combine 1 and 2
P= m2πrθRI² / 360° W Rearrange the terms P = 2πrθRI²m / 360° W
P = 2πrθRI²m / 360° W
-This equation is derived by Nadish