Z(c) for the network shown in the figure is The value of C and R are, respectively

Voltage across capacitor = voltage across 3? resistance =

Degree of node is the no.of branch incident to it.

From figure, The impedance function

and Z(0) = while in question Z(0) = 3

⟹ = 3 ⟹ k = 2.

A minimum of 2 wattmeters is required to measure 3 phase power. Of course power can be measured by putting one wattmeter in each phase.

Q = CV or 0.15 = C(5) or C = 0.03 F.

Z = R² + X_C². When f is made four times, X_C becomes one-fourth but R remains the same.

Mutual inductance w_m = ?k L₁L₂

⟹ m = k. 2. 8j² = 4k. j

Z = 20 - j10 + j2 + j6 + 2.4kj - 2j + 8kj = 0 at resonance

⟹ -2 = -8k

k = 1/4 ⟹ 0.25 .

To avoid mutually coupled inductors, more elements are needed.

In cascaded networks delay times are added.