Root finding 1. The charge across a capacitor q(t) at time t secs in a cer- tain RLC circuit is given as follows 1 R q(t

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Root Finding 1 The Charge Across A Capacitor Q T At Time T Secs In A Cer Tain Rlc Circuit Is Given As Follows 1 R Q T 1 (160.92 KiB) Viewed 51 times

Root finding 1. The charge across a capacitor q(t) at time t secs in a cer- tain RLC circuit is given as follows 1 R q(t) = qo exp (-Rt/(2L)) cos (√ Tc - (22) ²) (1) LC 2L where go is the charge stored at t 0, C = 10-4F, L = 5H, and R the resistance. A designer wishes to estimate the value of R,  which discharges the capacitor to 1% of its initial value after t = 0.05s. (a) Describe the method of bisection for finding roots of an equation. Use no more than one page. [10 marks] (b) Show that an appropriate range for  is 0 ≤  ≤ 400 [5 marks] (c) Use 4 iterations of the method of bisection to estimate R. [10 marks]