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23 Nov 2019

A 1.00 Ω resistor is connected in series with a 10.0mH inductor,a 30V battery, and an open switch. At time t-0, the switch issuddenly closed.

a) What is the maximum current in this circuit?

b) When does the maximum current occur?

c) What is the voltage drop across the inductor 20 μ second afterthe switch is closed?

d) What is the voltage drop across the resistor 20 μ second afterthe switch is closed?

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Irving Heathcote
Irving HeathcoteLv2
7 Jan 2019

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

An uncharged 30.0μF capacitor is connected in series with a25.0 Ω resistor, a DC battery, and an open switch. The battery hasan internal resistance of 10.0 Ω and its open-circuit terminalvoltage in 50.0 V. The leads have no appreciable resistance. Attime t=0, the switch is suddenly closed. What is the maximumcurrent through the 25.0 Ω resistor and when does it occur(immediately after closing the switch or after the switch has beenclosed for a long time)? What is the maximum charge that thecapacitor receives? and when the current in the circuit is 0.850 A,how much charge is on the plates of the capacitor?
i know its confusing, I just dont know where tostart.....

A series circuit consists of a 0.55H inductor with internalresistance 8.0 ohmsconnected in series with a 4 ohms resistor, aswitch, and a 12 V battery.

A) When the switch is closed, what is the initial current throughthe 4 ohm resistor?

B) After the switch has been closed, what is the maximum current inthe 4 ohm resistor?

Consider an L-R circuit as shown in the figure.Thebattery provides 12.0 V of voltage. The inductor hasinductanceL, and the resistor has resistanceR= 150 Ω. The switch is initiallyopen as shown. Attime t = 0, the switch is closed. At time t aftert = 0 the currentI(t) flows through the circuit as indicated in thefigure.
Part A:
What is the voltagechange Vr(t)across the resistor at time tafter t = 0?
a) RI(t)
b)-RI(t)
c) 12V
d)-12V
(correct answer b)
Part B:
What is the voltage changeVind(t)across the inductor at time t after t = 0? In thefollowingexpressions, ΔI/Δt denotes the time rate of change ofthecurrent in the inductor at time t?
a)RI(t)
b)-RI(t)
c)L(ΔI/Δt)
d)-L(ΔI/Δt)
e)12V
f)-12V
(correct answer d)
After the switch is closed, thecurrentin the circuit grows over time approaching a constant value.Ingeneral, at time t after a voltage source is connected to anL-Rcircuit, the current I(t) in the circuit is given bytheexpression
I(t)=V/R(1-e-t/τ)
where V is the voltage provided bythebattery, R is the resistance of the resistor, and τ is thetimeconstant characteristic of the circuit.
Part C:
What is the current I(τ) flowing inthecircuit shown in the figure at one time constant after t =0?
Express your answer in amperes.
Hint: To find the current inthecircuit after one time constant, use the expression forI(t)given in the problem, with t equal to τ. Do not try todeterminethe time constant for this circuit. You would not be ableto do sobecause the inductance L is unknown. Instead, afterplugging in thenumerical values for V and R appropriatefor this circuit andsubstituting τ for time, simplifyyour expression to get a numericalvalue for the current.

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