Fundamentals Of Physics - Volume 1 Only
11th Edition
ISBN: 9781119306856
Author: Halliday
Publisher: WILEY
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Chapter 30, Problem 90P
To determine
To find:
The time required for the current to decay to 10% of its initial value.
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How long would it take, following the removal of the battery, for the potential difference across the resistor in an RL circuit (with L = 2.00 H, R = 3.00 ohm) to decay to 10.0% of its initial value?
Consider the RL circuit in the figure with R=10.00 Ω, L1=1.80 H, L2=3.90 H, and V=5.0 V. At time t=0, the switch is closed to connect the circuit to a constant emf. How long (in seconds) does it take for the current to reach a value of Imax/2.71828 of its maximum value, where Imax is the maximum current through the circuit?
In a standard RLC circuit that we are looking at
R = 0.075 Ω , L = 1.2 H and C = 1.6 F. The initial charge carries by the capacitor is Q0 = 0.045 C. The switch is closed at time t = 0.
Calculate the value of Q, in coulombs,
at time t = 1s.
Chapter 30 Solutions
Fundamentals Of Physics - Volume 1 Only
Ch. 30 - If the circular conductor in Fig. 30-21 undergoes...Ch. 30 - Prob. 2QCh. 30 - Prob. 3QCh. 30 - Prob. 4QCh. 30 - Prob. 5QCh. 30 - Prob. 6QCh. 30 - Prob. 7QCh. 30 - Prob. 8QCh. 30 - Prob. 9QCh. 30 - Prob. 10Q
Ch. 30 - Figure 30-31 shows three situations in which a...Ch. 30 - Figure 30-32 gives four situations in which we...Ch. 30 - Prob. 1PCh. 30 - A certain elastic conducting material is stretched...Ch. 30 - Prob. 3PCh. 30 - A wire loop of radius 12 cm and resistance 8.5 is...Ch. 30 - Prob. 5PCh. 30 - Figure 30-37a shows a circuit consisting of an...Ch. 30 - In Fig. 30-38, the magnetic flux through the loop...Ch. 30 - Prob. 8PCh. 30 - Prob. 9PCh. 30 - Prob. 10PCh. 30 - A rectangular coil of N turns and of length a and...Ch. 30 - Prob. 12PCh. 30 - Prob. 13PCh. 30 - GO In Fig. 30-42a, a uniform magnetic field B...Ch. 30 - GO A square wire loop with 2.00 m sides is...Ch. 30 - GO Figure 30-44a shows a wire that forms a...Ch. 30 - A small circular loop of area 2.00 cm2 is placed...Ch. 30 - Prob. 18PCh. 30 - ILW An electric generator contains a coil of 100...Ch. 30 - At a certain place, Earths magnetic field has...Ch. 30 - Prob. 21PCh. 30 - A rectangular loop area = 0.15 m2 turns in a...Ch. 30 - SSM Figure 30-47 shows two parallel loops of wire...Ch. 30 - Prob. 24PCh. 30 - GO Two long, parallel copper wires of diameter 2.5...Ch. 30 - GO For the wire arrangement in Fig. 30-49, a =...Ch. 30 - ILW As seen in Fig. 30-50, a square loop of wire...Ch. 30 - Prob. 28PCh. 30 - Prob. 29PCh. 30 - Prob. 30PCh. 30 - Prob. 31PCh. 30 - A loop antenna of area 2.00 cm2 and resistance...Ch. 30 - GO Figure 30-54 shows a rod of length L = 10.0 cm...Ch. 30 - Prob. 34PCh. 30 - Prob. 35PCh. 30 - Prob. 36PCh. 30 - Prob. 37PCh. 30 - Prob. 38PCh. 30 - Prob. 39PCh. 30 - Prob. 40PCh. 30 - A circular coil has a 10.0 cm radius and consists...Ch. 30 - Prob. 42PCh. 30 - Prob. 43PCh. 30 - Prob. 44PCh. 30 - Prob. 45PCh. 30 - Prob. 46PCh. 30 - Inductors in series. Two inductors L1 and L2 are...Ch. 30 - Prob. 48PCh. 30 - Prob. 49PCh. 30 - Prob. 50PCh. 30 - ILW The current in an RL circuit drops from 1.0 A...Ch. 30 - Prob. 52PCh. 30 - Prob. 53PCh. 30 - Prob. 54PCh. 30 - Prob. 55PCh. 30 - Prob. 56PCh. 30 - In Fig. 30-65, R = 15 , L = 5.0 H, the ideal...Ch. 30 - Prob. 58PCh. 30 - Prob. 59PCh. 30 - Prob. 60PCh. 30 - Prob. 61PCh. 30 - A coil with an inductance of 2.0 H and a...Ch. 30 - Prob. 63PCh. 30 - Prob. 64PCh. 30 - Prob. 65PCh. 30 - A circular loop of wire 50 mm in radius carries a...Ch. 30 - Prob. 67PCh. 30 - Prob. 68PCh. 30 - ILW What must be the magnitude of a uniform...Ch. 30 - Prob. 70PCh. 30 - Prob. 71PCh. 30 - Prob. 72PCh. 30 - Prob. 73PCh. 30 - Prob. 74PCh. 30 - Prob. 75PCh. 30 - Prob. 76PCh. 30 - Prob. 77PCh. 30 - Prob. 78PCh. 30 - SSM In Fig. 30-71, the battery is ideal and = 10...Ch. 30 - Prob. 80PCh. 30 - Prob. 81PCh. 30 - A uniform magnetic field B is perpendicular to the...Ch. 30 - Prob. 83PCh. 30 - Prob. 84PCh. 30 - Prob. 85PCh. 30 - Prob. 86PCh. 30 - Prob. 87PCh. 30 - Prob. 88PCh. 30 - A coil with an inductance of 2.0 H and a...Ch. 30 - Prob. 90PCh. 30 - Prob. 91PCh. 30 - Prob. 92PCh. 30 - Prob. 93PCh. 30 - A long cylindrical solenoid with 100 turns/cm has...Ch. 30 - Prob. 95PCh. 30 - A square loop of wire is held in a uniform 0.24 T...Ch. 30 - Prob. 97PCh. 30 - The inductance of a closely wound coil is such...Ch. 30 - The magnetic field in the interstellar space of...Ch. 30 - Prob. 100PCh. 30 - A toroid has a 5.00 cm square cross section, an...
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- 1. For the parallel circuit given, compute for the dissipated power for R3A 24.6 WattsB. 38.6 WattsC. 28.8 WattsD. 33.5 Watts 2. For the parallel circuit given, what is the current flowing thru R2? A 3.2 A B. 2.2 A C.0.2 A D. 1.2 Aarrow_forwardA resistor and an inductor are connected in series to a battery with emf 240 V and negligible internal resistance. The circuit is completed at time t=0. At a later time t=T the current is 7.00 A and is increasing at a rate of 20.0 A/s. After a long time the current in the circuit is 15.0 A. What is the value of T , the time when the current is 7.00 A ?arrow_forwardThe voltage across an inductor is 4.0 x 10-6 V when the current through it decreased at a rate of 4.0 A/s. What is the inductance of the inductor? a. 1000 H b. 4 x 10-6 H c. 0.25 x 10-6 H d. 0.5 x 10-6 H e. 1 x 10-6 Harrow_forward
- A 1.25 H inductor in an RL circuit (with resistance 2.2 Ω) is initially fully charged. A switch is then thrown (between positions 1 and 2, see figure), which causes the inductor to discharge. The initial current through this discharging circuit is 4.95 A. How long will it take the current to decline to 25.00% of its initial value? Express this value in seconds.arrow_forwardWhat voltage is induced in a 1.00 m diameter loop 50.0 m from a 2.00 X 106 A lightning strike, if the current falls to zero in 25.0 μSarrow_forwardHow much time does it take for the current in an RL circuit withR = 130 Ω and L = 68 mH to reach half its final value?arrow_forward
- Using applications of Differential Equations. If the circuit is moved to position 2, find the current after 2 seconds. The current before disconnecting the RL circuit from the battery is 20 A. The resistance is equal to 5 ohms while the inductance is equal to 2 Henries. (a) 19.865 A, (b) 0.135 A, (c) 11.013 A, (d) 8.987 Aarrow_forwardIn an oscillating RLC circuit with L = 10 mH, C = 1.5 μF, and R = 2.0 Ω, how much time elapses before the amplitude of the oscillations drops to half its initial value?arrow_forwardAn 8.0 mH inductor and a 2.0 Ω resistor are wired in series to an ideal battery. A switch in the circuit is closed at time t = 0, at which time the current is zero. The current reaches half its final value at time: 3 ms 2.8 ms 170 ms 4 ms 250 msarrow_forward
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