Please tell me what formulas to use to get to the answer, the clearest work gets

Question

Please tell me what formulas to use to get to the answer, the clearest work gets the points

1. In an RLC circuit, R-60 ohms, L 3mH, C 4mF, and the time-varying emf has a peak voltage of 120 V. What should the angular frequency, w, be to produce the largest current in the resistor? a. 42 rad/s b. 8.3 rad's. c. 204 rad/s d. 289 rad/s 2. For an RLC circuit, which of these statements is true? a. If Xc XL, then w> Wo b. If Xc XL, then wo d. If Xc XL then 0 3. In stereo systems, capacitors and inductors are used to select between alternating current to direct current to the high-frequency and low- frequency speakers and woofers through their respective reactances. In such a system a. The capacitor is connected to the woofer b. The inductor is connected to the woofer c. Both the capacitor and the inductor are connected d. Both components are connected to both speakers 4. An electromagnetic plane wave is traveling though the part of the wave given by E Emax cos(kk- ut)j. which equation describes the magnetic field of the wave? a. B- Bmax cos(kx-ati b. B- Brna cos(kz- at)k c, B Bmax cos(ky- ut j d. B- Bmax cos(kx- at k 5. A standard North American wall socket is labeled 110V this label indicates the value of the voltage. a. Average b. Maximum c. Root mean square 6. In an RLC circuit, R 60 ohms, L 3mH, C-4mF, and the time-carrying emf has a peak voltage of 120 V. What should the angular frequency, be to produce the largest current in the resistor? b. 8.3 rad/s c. 204 rad/s d. 289 rad/s

Explanation / Answer

1)the ;argest urrent will be when the sum of the capacitive and the inductive reactance be 0. so,

wl=1/wc

or w=(1/LC)^1/2

=289 rad/s

2)If Xc/Xl

or 1/wC > wl

or w^2<(1/Cl)

or not 1/(CL)=wo^2

so w<wo

so the answer is b

3)inductor is connect to the woofer..since Rl=wL

and the capacitor is connect to the speaker

4)B=Bmax(kx-wt) k (since the direction of propagation has to perpendicular ot both electric field and velocity

the veloccity is in x direction

the electric field is in y direction

5)RMS value of the voltage

6)again same as question 1,

w^2=(1/lc)

ow w=289 rad/s

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