# Impedance of a circuit; Fendt, Combinations of resistors

See attached files.

Find impedance of the circuit below. R1 = 10 Ω, C= 100mF

E=10VAC

60Hz

https://brainmass.com/physics/kirchhoffs-voltage-law/impedance-circuit-fendt-combinations-resistors-298194

#### Solution Preview

Find impedance of the circuit below. R1 = 10 Î©, C= 100mF

IR

I IC

Solution: Reactance of the capacitor = XC = 1/jÏ‰C = 1/j(2ÐŸfC) where f = frequency = 60 Hz

Substituting values: XC = 1/j(2ÐŸx60x100x10-3) = 1/j37.7 ohm

Let equivalent impedance of the parallel combination of the resistance and capacitance be Z. Then, 1/Z = 1/R1 + 1/XC = 1/10 + j37.7 = 0.1 + j37.7 = âˆš(0.12 + 37.72)/tan-1(37.7/0.1)

1/Z = 37.7/89.85O

Z = (1/37.7)/-89.85O = 0.0265/-89.85O ohm

Impedance can also be expressed as: Z = 0.0265cos(-89.85O) + j0.0265sin(-89.85O) = 0.0000693 - j0.0265

Z â‰ˆ - j0.0265 ohm

1. Find the voltages (V1 and V2) and current (A) across the following sets of series circuits (see figure above) where the voltage source is 12 VDC.

a. R1=50Î©, R2=100Î©

b. R1=100Î©, R2=200Î©

c. R1=200Î©, R2=400Î©

Solution: As R1 and R2 are in series, net resistance in the circuit R ...

#### Solution Summary

Impedance of a circuit, Fendt, and combinations of s resistor are examined.