35. Variable Resistor. In Section 5.7, we showed that the charge q on the capacitor in a simple RLC circuit is gov- erne

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35 Variable Resistor In Section 5 7 We Showed That The Charge Q On The Capacitor In A Simple Rlc Circuit Is Gov Erne 1 (41.28 KiB) Viewed 45 times

35. Variable Resistor. In Section 5.7, we showed that the charge q on the capacitor in a simple RLC circuit is gov- erned by the equation Lq"(t) + Rq' (1) + −q(t) = E(t), where L is the inductance, R the resistance, C the capac- itance, and E the voltage source. Since the resistance of a resistor increases with temperature, let's assume that the resistor is heated so that the resistance at time t is R(t) = 1+t/10 (see Figure 8.5). If L = 0.1 H. C = 2 F, E(t) = 0,q(0) = 10 C, and q'(0) = 0 A. find at least the first four nonzero terms in a power series expansion about t= 0 for the charge on the capacitor. 0.1 henrys m 2 farads q(0) 10 coulombs q'(0) = 0 amps R(t)=1+1/10 ohms wwwww Figure 8.5 An RLC circuit whose resistor is being heated