After the current in the circuit of Fig. P30.63 has reached its final, steady value with switch S1 closed and S2 open, switch S2 is closed, thus short-circuiting the inductor. (Switch S1 remains closed. See Problem 30.63 for numerical values of the circuit elements.) (a) Just after S2 is closed, what are ʋac and ʋcb, and what are the currents through R0, R, and S2? (b) A long time after S2 is closed, what are ʋac and ʋcb, and what are the currents through R0, R, and S2? (c) Derive expressions for the currents through R0, R, and S2 as functions of the time t that has elapsed since S2 was closed. Your results should agree with part (a) when t = 0 and with part (b) when t → ∞. Graph these three currents versus time.
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- Consider the circuit in Figure P32.18, taking = 6.00 V, L = 8.00 mH, and R = 4.00 . (a) What is the inductive time constant of the circuit? (b) Calculate the current in the circuit 250 s after the switch is closed. (c) What is the value of the final steady-state current? (d) After what time interval does the current reach 80.0% of its maximum value?arrow_forwardShow that Equation 32.28 in the text Ls Kirchhoffs loop rule as applied to the circuit in Figure P32.56 with the switch thrown to position b.arrow_forwardlell L1 R1 R Lq 2. In this figure, assume arbitrary numbers for R1, R2, L1, and L2 including some number for the battery Ɛ. Find the rate of current in which inductor one (L1) is changing just after the switch is closed. Next, find the current in L1 after some time after the switch has been closed. lell wwwarrow_forward
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