Physics question help
Favorites|Homepage
Subscriptions | sitemap
HOME > > Physics question help

Physics question help

[From: ] [author: ] [Date: 12-05-01] [Hit: ]
ZL = jwL = j*2π*120*1.8 = j1357.So...Zeq = ZR + ZC + ZL = 850 Ω + j162.......
An 850 resistor, a 1.11 μF capacitor, and an 1.8 H inductor are connected in series across a 120 Hz AC source for which the maximum voltage is 170 V.

A) Calculate the impedance of the circuit.
Answer in units of k ohms

B) Calculate the maximum current delivered by the source.
Answer in units of mA

C) Calculate the phase angle between the current and voltage.
Answer in units of degrees

-
ZR = 850 Ω
ZC = 1/(jwc) = 1/(j*2π*120*1.11E-6) = -j1194.86 Ω
ZL = jwL = j*2π*120*1.8 = j1357.17

So...

Zeq = ZR + ZC + ZL = 850 Ω + j162.311Ω = **(0.85 + j0.162311) kΩ**

Current is V/Z, so:

I = (170)/(0.85 + j0.162311) = 192.962 - j36.8436 mA = 196.45 < -10.9107° mA

So from there, your max current is 196.45 mA. When I gave voltage a phase of zero, the phase of the current turned out to be -10.9107°. So the voltage leads the current by 10.9107°.

EDIT: For A, the impedance of a resistor is simply the given value. For a capacitor, it's 1/(jωC). Since ω = 2πf, you could also write ZC = 1/(j2πfC) if that helps. That would make ZL = j2πfC. Since they're in series, just add up the three values. You could also write it in polar form, where if:

Z = a + jb

Then:

|Z| = √(a² + b²) --> magnitude
θ = arctan(b/a) --> angle

EDIT2: Here's a graph if you doubt my math:
http://img254.imageshack.us/img254/1148/…
1
keywords: help,question,Physics,Physics question help
New
Hot
© 2008-2010 http://www.science-mathematics.com . Program by zplan cms. Theme by wukong .