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- At s1iat frequency is the reactance of a 20F capacitor equal to that of a 10-mH inductor?Show that N m /l and el(dl/dt), which are both expressions for se1f-inductance, have the same units.In an oscillating LC circuit the maximum charge on the capacitor is 2.0 × 10-6 C and the maximum current through the inductor is 8.0 mA. (a) What is the period of the oscillations? (b) How much time elapses between an instant when the capacitor is uncharged and the next instant when it is fully charged?
- Calculate the resonant angular freqency of an RLC series circuit for which R=20 , L=75mH, and C=4.0F , (b) If R is changed to 300, what happens to the resonant angular frequency?In an LC circuit, what determines the frequency and the amplitude of the energy oscillations in either the inductor or capacitor?The current shown in part (a) below is increasing, whereas that shown in part (b) is decreasing. In each case, determine which end of the inductor is at the higher potential.
- 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?Suppose you need to construct a resonant frequency of 52.5 Hz. What inductance in henries do you need to combine with a 1.75 nanofarad capacitor? (L=?)An LRC circuit is set up with an inductance of 1>5 henry, a resistanceof 1 ohm, and a capacitance of 5>6 farad. Assuming theinitial charge is 2 coulombs and the initial current is 4 amperes,find the solution function describing the charge on the capacitor atany time. What is the charge on the capacitor after a long periodof time?
- An L-C circuit has an inductance of 0.450 H and a capacitance of 0.240 nF . During the current oscillations, the maximum current in the inductor is 1.40 A What is the maximum energy EmaxEmaxE_max stored in the capacitor at any time during the current oscillations? How many times per second does the capacitor contain the amount of energy found in part A? anser is s^-1An engineer proposes to store 75 kJof energy by flowing 1.5 kA of current through a superconductingsolenoid that forms an inductor. (a) What is the required inductance L? (b) If the solenoid is to have a radius of 1.2 m and bewound with no more than 5 turns per meter, what length mustthe solenoid have?If you want a characteristic RL time constant of 9.00 s, and you have a 595 Ω resistor, what value of self-inductance (in H) is needed?