Hence or otherwise obtain the current ratio i1i2 in terms

Question

(a) Apply Kirchhoff's voltage law to each loop of circuit.

(b) Hence or otherwise obtain the current ratio I1/I2 in terms of the circuit inductances.

(c) See if you can show that L1 and L2 can be replaced by the equivalent inductor of FIGURE 4.

(d) A 1 nF capacitor is placed across the two inductors (FIGURE 4 (c)). If L1 = L2 = L and k = 0.5, determine the required value of L if the minimum current I flows from the supply when it is at a frequency of 1 MHz.