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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
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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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.
Transcribed Image Text: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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