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1.For the system shown, a 10 V DC voltage is applied, and the resulting current

ID: 2248177 • Letter: 1

Question

1.For the system shown, a 10 V DC voltage is applied, and the resulting current is1-e the winding resistance. The airgap is fixed at 1 mm. where L is the winding inductance and Neglect leakage inductance infinite relative permeability 1052 10 Turns gap-1 mm core cross sectional area = 0.01 m^2 a) Determine L. (5 pts) b) Determine Wr. We at t = 2 s. (10 pts) c) Where is W, stored in this system? (pts) d) There is a force of attraction between the iron parts that acts to try to reduce the 1 mm airgap Determine the value of this force at t - 2 s. (10 pts)

Explanation / Answer

a) L= 10 H

Using Vl = L di/dt formula

b) Wc= I2R, at t=2 s

therfore to calcualte value of I at t=2s is as follows

I=1-e-(10/10)2

I=1-e-2

I=1-0.13533528323 = 0.86466471676

Hence Wc= 0.864664716768*0.86466471676*10 = 7.47645 W