CALC Consider the circuit in Fig. 30.11 with both switches open. At t = 0 switch S1, is closed while switch S2 is left open. (a) Use Eq. (30.14) to derive an equation for the rate PR at which electrical energy is being consumed in the resistor. In terms of ε, R, and L, at what value of t is PR a maximum? What is that maximum value? (b) Use Eqs. (30.14) and (30.15) to derive an equation tor PL, the rate at which energy is being stored in the inductor. (c) What is PL at t = 0 and as t→∞? (d) In terms of ε, R, and L, at what value of t is PL a maximum? What is that maximum value? (e) Obtain an expression for Pε the rate at which the battery is supplying electrical energy to the circuit. In terms of ε, R, and L, at what value of t is Pε a maximum? What is that maximum value?
Want to see the full answer?
Check out a sample textbook solutionChapter 30 Solutions
University Physics with Modern Physics (14th Edition)
Additional Science Textbook Solutions
An Introduction to Thermal Physics
Conceptual Integrated Science
Introduction to Electrodynamics
Tutorials in Introductory Physics
The Cosmic Perspective
Sears And Zemansky's University Physics With Modern Physics
- Figure P29.60 shows a simple RC circuit with a 2.50-F capacitor, a 3.50-M resistor, a 9.00-V emf, and a switch. What are a. the charge on the capacitor, b. the current in the resistor, c. the rate at which the capacitor is storing energy, and d. the rate at which the battery is delivering energy exactly 7.50 s alter the switch is closed?arrow_forwardFigure P29.84 shows a circuit that consists of two identical emf devices. If R1 = R2 = R and the switch is closed, find an expression (in terms of R and ) for the current I that is in the branch from point a to b.arrow_forwardIn the RC circuit shown in Figure P29.78, an ideal battery with emf and internal resistance r is connected to capacitor C. The switch S is initially open and the capacitor is uncharged. At t = 0, the switch is closed. a. Determine the charge q on the capacitor at time t. b. Find the current in the branch be at time t. What is the current as t goes to infinity?arrow_forward
- A 1·21-MF Capacitor is connected to a North American electrical outlet. (Avrms = 120V, f = 60·0Hz). Assuming energy stored in the Capacitor is Zero at + = 0, determine the magnitude & the current in the wires at t = 192 Note 3 Answer must be in A. S thearrow_forwardsa R O e-t/T with T = 4.5μs R A The figure shows an ideal battery of voltage V, a resistor of resistance R = 12.0 2, and an uncharged capacitor of capacitance C = 3.5 µF. What is the current through the resistor at time t after the switch S is closed? O e-t/Twith T = 42μs R O VRe-t/T with 7 = 3.4μs Oet/T with T = 3.4µs R O VRe-t/T with T = 45μs сarrow_forwardIn an A. C. circuit, the flowing current is I = 5 sin (100 t - t/2) A and the potential difference is V = 200 sin (100 t)V. The power consumption is equal to %3Darrow_forward
- Problem #2: Maxwell's Equations. Consider the RC circuit shown. It consists of: an ideal 18 V battery, E a 30 resistor, and a 15 mF capacitor. R The capacitor consists of two circular plates separated by a small distance. Each plate has radius R € 0.46 m. The capacitor is initially uncharged. GH = At time t = 0, the switch is closed. с 3. How fast is the electric flux between the capacitor plates changing at the instant the switch is closed? S 4. When the current through the resistor is 0.40 A, what is the magnetic field at point H, a distance of 0.35 m from the center of the capacitor?arrow_forwardFor the given circuit switch is opened at t=0 after being closed for a long time. R=40 Ohm, C=25mF, L=10H is (1 5 V 1) If i,(t) = 10 u(t)A a. iz(0") =? b. i(t) =? 2) If i,(t) = e-3t u(t)A a. i,(0) =? b. i(t) =?arrow_forwardA charged capacitor of C=38.0 µF is connected to a resistor of R=2.8 MQ as shown in the figure. The switch S is closed at time t-0. Find the time (in seconds) it takes the current to fall to 0.25 of its initial value. R wwwarrow_forward
- In the shown circuit, the capacitor is initially uncharged. The switch S is closed at time t=0. Find the current in the circuit (in µA) when the charge on the capacitor is 7.5 µC. 10 V 2.0uF 0 05 MO «k Question 2 of 12arrow_forwardin the circuit shown in the figure, the S switch is closed at t=0 and the capasitors, which are completely empty, begin to fill. Here E=30V, C=3 uF and R=40 ohm. A) what is the time constant of the circuit, T, in the units of microseconds? B)when t=T, what is the total charge, in units of microcoulomb?arrow_forward1.00 µF, R = 2.00 x 10° Q, and Ɛ = 10.0 V. At the instant 16.2 s after the switch is closed, The values of the components in a simple series RC circuit containing a switch (see figure below) are C = calculate the following. %3D S R (a) the charge on the capacitor q : µC (b) the current in the resistor I = nA (c) the rate at which energy is being stored in the capacitor rate = nW (d) the rate at which energy is being delivered by the battery Poattery nWarrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning