Consider the circuit given in the figure that is driven by an AC voltage source and where the two branches are connected by mutual inductance, M. V(t) R 1,(t) حکومت frm= M R I,(t) C a. Use Kirchhoff's Laws to determine the relationship between the applied voltage in the first branch and the current flowing in each branch. b. By setting the losses in the circuit to zero (i.e. R = 0), find an expression for the resonant frequencies in terms of M, L, and C

Consider the circuit given in the figure that is driven by an AC voltage source and where the two branches are connected by mutual inductance, M. V(t) R 1,(t) حکومت frm= M R I,(t) C a. Use Kirchhoff's Laws to determine the relationship between the applied voltage in the first branch and the current flowing in each branch. b. By setting the losses in the circuit to zero (i.e. R = 0), find an expression for the resonant frequencies in terms of M, L, and C