An electric is 1000 miles long is initially under SteadyState conditions when measured potential at the sending end was1200 volts and at the load it was 1000 volts. If the terminal end of the line is suddenly grounded which reduces its potential to zero, but the potential e(x,t) at the sending end is kept at 1200 volts. The potential e(x,t) at any time t is given by e(x,t) = e¡(x) + e2(x,t) where :> Bn sin (m2π2aHt 10002 e2(x, t) = 1000- n=1 Find the coefficient Bn, if e2(x,t) = 1.1x if t = 0 in 0 < x < 1000. %3D

An electric is 1000 miles long is initially under SteadyState conditions when measured potential at the sending end was1200 volts and at the load it was 1000 volts. If the terminal end of the line is suddenly grounded which reduces its potential to zero, but the potential e(x,t) at the sending end is kept at 1200 volts. The potential e(x,t) at any time t is given by e(x,t) = e¡(x) + e2(x,t) where :> Bn sin (m2π2aHt 10002 e2(x, t) = 1000- n=1 Find the coefficient Bn, if e2(x,t) = 1.1x if t = 0 in 0 < x < 1000. %3D

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

An electric is 1000 miles long is initially under SteadyState conditions when measured potential
at the sending end was1200 volts and at the load it was 1000 volts. If the terminal end of the
line is suddenly grounded which reduces its potential to zero, but the potential e(x,t) at the
sending end is kept at 1200 volts. The potential e(x,t) at any time t is given by
e(x, t) = e¡(x) + e2(x,t)
where
(n2πzaHt`
10002
e2(x, t) = > B, sin
100
n=1
Find the coefficient Bn, if e2(x, t) = 1.1x if t = 0 in 0 < x < 1000.

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