Monday

October 20, 2014

October 20, 2014

Posted by **fatih** on Monday, March 12, 2012 at 12:15pm.

- physics -
**Damon**, Monday, March 12, 2012 at 1:25pmassume you mean r = 51 k Ohm

i = 1 sin 108 pi t

Vr = i r = 51*10^3 sin 108 pi t

Vl = L di/dt = 25*10^-6 * 108pi cos 108 pi t

dVc/dt = (1/C) i

so

Vc = (19*10^-6)^-1 [-(1/108pi) cos 108 pi t

V = Vr + Vl + Vc

Vl + Vc = [.00848 - 155]cos 108 pi t

(I suspect you have some units wrong)

V = 51*10^3 sin 108 pi t - 155 cos 108 pi t

I am sure your input data is incorrect but now multiply i times V and integrate over a cycle and divide by the period (multiply by the frequency)

In fact only the sin*sin term will matter in the end because sin * cos averages to 0 and the average of sin^2 is 1/2

**Answer this Question**

**Related Questions**

physics - a series RLC circuit has a peak current of 4 A with a frequency of 23 ...

physics - a series RLC circuit has a peak current of 4 A with a frequency of 23 ...

physics - a series RLC circuit has a peak current of 4 A with a frequency of 23 ...

Physic - a series RLC circuit has a peak current of 4 A with a frequency of 23 ...

physics - A series RLC circuit has a resonant frequency of 6.00 kHz. When it is ...

physics - An RLC circuit has voltage supplied to it at a frequency of 13.0 kHz ...

Physics - The capacitance in a series RCL circuit is C1 = 1.2 μF, and the ...

physics - an RlC circuit has a resistance of 4 kOhm, a capacitance of 33 uF, and...

Physics - An ac generator supplies an rms voltage of 5.00 {\rm V} to an RL ...

physics - In a certain series RLC circuit, Irms = 9.00 A, ΔVrms = 150 V, ...