The circuit below is made up of five ideal passive components and a sinusoidal voltage source
(no DC offset) running at a fixed frequency of w/(2n) Hz. Find the following Rae equivalent c
dal be voltage source re by a n betwen will be a fr on of terms of o, L1, L2 points two complex
numbers ENDress the numerat nominator somplete expa that enth 2. The equivalent voltage
source replaced by an open) between c pedance DG rrana B for very high frequency (w oo).
valent circuit im the oltage source replace y an open between s A and Bio quency 0) 4. With the
voltage source restored to the circuit, find the value(s) of where the average current in the
resistor is zero. L1 C1 VAC T C2 L2
Solution
the given circuit is in the form of a wheat stone bridge.
for average current through the resistor to be zero, it should be balanced.
i.e ZL1 / Zc1 = Zc2 / ZL2
jwL1 / (1/jwc1) = (1/jwc2) / jwL2
-w2 L1 c1 = -1 / w2 L2 c2
w4 = 1/ L1 c1 L2 c2