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Why is the time constant proportional to R (i.e. why does it take longer when Ris bigger)? It takes C longe- for kto U kto u to go through the resikanten

Why is the time constant proportional to R (i.e. why does it take longer when Ris bigger)? It takes C longe- for kto U kto u to go through the resikanten

Power System Analysis and Design (MindTap Course List)
Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter7: Symmetrical Faults
Section: Chapter Questions
Problem 7.3P
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Can you answer a and why time constant is proportional to R and C?

final if needed) 1. (If you feel you did this last exam and want the results to decide if to reassess, skip this problem and reassess at the a) The circuit below has three identical 10 resistors, one initially uncharged 0.001 F capacitor, and a 30 V battery. Find all the currents at t=0 (right after the switch is closed,) all the currents a long time after the switch is closed (at steady state), and the charge on the capacitor at t→∞o. 1098-1-10 300 2 10 U₂Q - V₁ V₂ -U₂:0 I= [= I₁ 1₂ 13 Qc لواد 75 36 10 t=0 O 0/5 0 t-x 3 /0 0 31 0 2 It takes time has passed. 0.03 ww R₁ =1& S (0 и lorge- for kto U You are restating the clarin, not explaining Lim 30V-101 -10 I-10 I = 0 U-30-3 300 = 1+30 I U = I Q = CU (1-etme) =CV = 0.001 Q = CU b) The capacitor charge in the circuit below decays exponentially when the capacitor has an initial charg of Qo: Q=Qo e-t/RC. Give brief physics (not math!) explanations for the observation that the time constant (how long it takes to discharge) is proportional to both C and R. the Why is the time constant proportional to R (i.e. why does it take longer when Ris bigger)? 40 the time, the to go through * marc Ama C Why is the time constant proportional to C (i.e. why does it take longer when C is bigger)? 12 the caen cife Charges. W the resister when
Transcribed Image Text:final if needed) 1. (If you feel you did this last exam and want the results to decide if to reassess, skip this problem and reassess at the a) The circuit below has three identical 10 resistors, one initially uncharged 0.001 F capacitor, and a 30 V battery. Find all the currents at t=0 (right after the switch is closed,) all the currents a long time after the switch is closed (at steady state), and the charge on the capacitor at t→∞o. 1098-1-10 300 2 10 U₂Q - V₁ V₂ -U₂:0 I= [= I₁ 1₂ 13 Qc لواد 75 36 10 t=0 O 0/5 0 t-x 3 /0 0 31 0 2 It takes time has passed. 0.03 ww R₁ =1& S (0 и lorge- for kto U You are restating the clarin, not explaining Lim 30V-101 -10 I-10 I = 0 U-30-3 300 = 1+30 I U = I Q = CU (1-etme) =CV = 0.001 Q = CU b) The capacitor charge in the circuit below decays exponentially when the capacitor has an initial charg of Qo: Q=Qo e-t/RC. Give brief physics (not math!) explanations for the observation that the time constant (how long it takes to discharge) is proportional to both C and R. the Why is the time constant proportional to R (i.e. why does it take longer when Ris bigger)? 40 the time, the to go through * marc Ama C Why is the time constant proportional to C (i.e. why does it take longer when C is bigger)? 12 the caen cife Charges. W the resister when
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