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Consider a capacitor C = 1.0 × 10¬4 Farad connected to an inductor L = 2.0 × 10¯³ Henry as shown in Fig. 8. At t= 0, i= 0 and the charge on the capacitor is 3 .0 × 102 Coulomb. (a) V(0) = ? (b) Calculate V(t) and I(t). (c) Calculate the energy stored in C and L as a function of time t and show that Ec(t) + EL(t) constant. Hint: Use Kirchhoff's voltage law to obtain the equation q/C + L d2q/dt2 = 0. The general solution has the form q(t) = qo sin (ot + po) where qo and po can be determined from the initial conditions at t = 0. Figure 8.

Consider a capacitor C = 1.0 × 10¬4 Farad connected to an inductor L = 2.0 × 10¯³ Henry as shown in Fig. 8. At t= 0, i= 0 and the charge on the capacitor is 3 .0 × 102 Coulomb. (a) V(0) = ? (b) Calculate V(t) and I(t). (c) Calculate the energy stored in C and L as a function of time t and show that Ec(t) + EL(t) constant. Hint: Use Kirchhoff's voltage law to obtain the equation q/C + L d2q/dt2 = 0. The general solution has the form q(t) = qo sin (ot + po) where qo and po can be determined from the initial conditions at t = 0. Figure 8.

University Physics Volume 2
University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
Publisher:OpenStax
Chapter14: Inductance
Section: Chapter Questions
Problem 62P: A 5000-pF capacitor is charged to 100 V and then quickly connected to an 80-mH inductor. Determine...
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Consider a capacitor C = 1.0 × 10¬4 Farad connected to an inductor L = 2.0 × 10¯³ Henry as shown in Fig. 8. At t= 0, i= 0 and the charge on the capacitor is 3 .0 × 102 Coulomb. (a) V(0) = ? (b) Calculate V(t) and I(t). (c) Calculate the energy stored in C and L as a function of time t and show that Ec(t) + EL(t) constant. Hint: Use Kirchhoff's voltage law to obtain the equation q/C + L d2q/dt2 = 0. The general solution has the form q(t) = qo sin (ot + po) where qo and po can be determined from the initial conditions at t = 0. Figure 8.
Transcribed Image Text:Consider a capacitor C = 1.0 × 10¬4 Farad connected to an inductor L = 2.0 × 10¯³ Henry as shown in Fig. 8. At t= 0, i= 0 and the charge on the capacitor is 3 .0 × 102 Coulomb. (a) V(0) = ? (b) Calculate V(t) and I(t). (c) Calculate the energy stored in C and L as a function of time t and show that Ec(t) + EL(t) constant. Hint: Use Kirchhoff's voltage law to obtain the equation q/C + L d2q/dt2 = 0. The general solution has the form q(t) = qo sin (ot + po) where qo and po can be determined from the initial conditions at t = 0. Figure 8.
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