An inductance L, a capacitance C, and a resistance R are connected in series with a voltage source V(t). Given that q(0) = i(0) = 0, what is the second order differential equation whose solution is the current i(t) where t> 0? a. L+ IR + = 0 b. L+ iR + = v(t) +R d. + F e. None of the above

An inductance L, a capacitance C, and a resistance R are connected in series with a voltage source V(t). Given that q(0) = i(0) = 0, what is the second order differential equation whose solution is the current i(t) where t> 0? a. L+ IR + = 0 b. L+ iR + = v(t) +R d. + F e. None of the above

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter15: Alternating-current Circuits

Section: Chapter Questions

Problem 44P: A step-up transformer is designed so that the output of its secondary winding is 2000 V(rms) when...

See similar textbooks

Similar questions

The self-inductance and capacitance of an oscillating LC circuit are L = 20 mH and C = 1.0 F , respectively. (a) What is the frequency of the oscillation? (b) If the maximum potential difference the plates of the capacitor is 50 V, what is the maximum current in the circuit?
A 2.0-F capacitor is charged to a potential difference of 12.0 V and then connected across a 0.40-mH inductor. What is the current in the circuit when the potential difference across the capacitor is 6.0 V?
A transformer is used to supply a 12-V model train with power from a 110-V wall plug. The train operates at 50 W of power, (a) What is the rms current in the secondary coil of the transformer? (b) What is me rms current in the primary coil? (c) What is the ratio of the number of primary to secondary turns? (d) What is the resistance of the tram? (e) What is the resistance seen by the 110-V source?
A 60.0-ft resistor is connected in series with a 30.0-F capacitor and a source whose maximum voltage is 120 V, operating at 60.0 Hz. Find (a) the capacitive reactance of the circuit, (b) the impedance of the circuit, and (c) the maximum current in the circuit. (d) Does the voltage lead or lag the current? (e) How will adding an inductor in series with the existing resistor and capacitor affect the current? Explain.
A 7.0-mH induct is connected across a 60-Hz ac source whose voltage amplitude is 50 V. (a) What is the maximum current through the inductor? (b) What is the phase relationship between the current through and the potential difference across the inductor?
(a) An inductor designed to filter high-frequency noise from power supplied to a personal computer is placed in series with the computer. What minimum inductance should it have to produce a 2.00 k(reactance for 15.0 kHz noise? (b) What is its reactance at 60.0 Hz?
A series RLC circuit has resistance R = 50.0 and inductance L. = 0.500 H. (a) Find the circuits capacitance C if the voltage source operates at a frequency of f = 60.0 Hz and the impedance is Z = R = 50.0 . (b) What is the phase angle between the current and the voltage?
An ac source of emf delivers 5.0 mW of power at an rms current of 2.0 mA when it is connected to the primary cod of a transformer. The rms voltage across the secondary coil is 20 V. (a) What are die voltage across the primary coil and the current through the secondary coil? (b) What is the ratio of secondary to primary turns for the transformer?
An PLC series circuit with R=600 , L = 30 mH. and c=0.050F is driven by an ac source whose frequency and voltage amplitude are 500 Hz and 50 V, respectively, (a) What is the impedance of the circuit? (b) What is the amplitude of the current in the circuit? (c) What is the phase angle between the emf of the source and the current?
A 200- resistor, 150- F capacitor, and 23-H inductor are connected in series with an ac source of amplitude 10 V and variable angular frequency . (a) What is the value of the resonance frequency R? (b) What is the amplitude of the current if =R ? (c) What is the phase constant of the current when =R ? Is it leading or lagging the source voltage, or is It In phase? (d) Write an equation for the voltage drop across the resistor as a function of time when =R . (e) What is the power factor of the circuit when =R ? (f) How much energy is used up by the resistor in 2.5s when =R ?
An RLC series circuit has an impedance of 60 and a power factor of 0.50, with the voltage Lagging the current (a) Should a capacitor or an inductor be placed in series with the elements to raise the power factor of the circuit? (b) What is the value of the capacitance or self-inductance that will raise the power factor to unity?
A step-up transformer is designed so that the output of its secondary winding is 2000 V(rms) when the primary winding is connected to a 110-V (rms) line voltage, (a) If there are 100 turns in the primary winding, how many turns are there in the secondary winding? (b) If a resistor connected across the secondary winding draws an rms current of 0.75 A. what is the current in die primary winding?