Posted by **Ayo** on Wednesday, March 24, 2010 at 3:18pm.

A source of e.m.f 110v and frequency 60hz is connected to a resistor, an indicator and a capacitor in series. When the current in the capacitor is 2A.the potential difference across the resistor is 80v and that across the inductor is 40v.calculate the -(1)potential difference across the capacitor (2)capacitance of the capacitor 3 inductance of the inductor

- physics -
**Damon**, Wednesday, March 24, 2010 at 4:04pm
The current is the same in all three since they are in series, 2 amps.

Say i = 2 cos w t

where w = 2 pi f = 120 pi

then

volts across resistor = iR = 2R cos wt

We measure 80 volts, no phase given so assume 2R=80 and R = 40

volts across inductor = Ldi/dt = -240piL sin wt

again no phase given so assume 240piL = 40 and L = .053 H

volts across capacitor = q/C = integral i dt /C = [1/(60piC)] sin wt

- physics -
**Damon**, Wednesday, March 24, 2010 at 4:22pm
Now we measure 110 volts across the whole circuit and that must be the sum of the three voltages.

Therefore

110 sin(wt+phi) = 80 cos wt - 40 sin wt + [1/(60 pi C)] sin wt

110 sin(wt+phi)= 80 cos wt + [-40+ 1/(60piC)]sin wt

110[sinwt cosphi + coswt sinphi] =80 cos wt + [-40+ 1/(60piC)]sin wt

sin wt terms:

110 cos phi = [-40+ 1/(60piC)]

cos wt terms:

110 sin phi = 80 solver for phi, then use in above to solve for C

## Answer this Question

## Related Questions

Physics - A)Two identical resistors are connected in parallel across a 30-V ...

Physics - A)Two identical resistors are connected in parallel across a 30-V ...

Physics - In a series circuit, a generator (1400 Hz, 12.0 V) is connected to a ...

Physics - In a series circuit, a generator (1400 Hz, 12.0 V) is connected to a ...

College Physics - A simple circuit is made of a power source, a rheostat and an ...

physics please help!! - 1. A 26.0-Ω resistor, a 12.0-µF capacitor, and a 17...

College Physics - A circuit consists of 3 components connected between 2 ...

Physics - 1)A 15.0 resistor and a 20.0 resistor are connector in parallel. A 5....

Physics - A simple circuit is made of a power source, a rheostat and an ohmic ...

MONGU COLLEGE - A resistor of 15 ohms and an inductor of 4H and capacitor of 25...