Current and voltage calculations

In the circuit below, V is an alternating voltage of a constant amplitude 10 V but of variable frequency. The purpose of the circuit is to detect a frequency of 1600 Hz by operating the relay. CT is a 2-to-22 nF trimming capacitor used to adjust the resonant frequency of the circuit. This is set to 10 nF. Calculate the maximum operating current of the relay and the minimum voltage ratings of the capacitors.

Electric Circuit Calculations

Calculate v1 v2 v3 and i1 i2 and 13 if Vs=8v and R1=560 ohms, R2=330 ohms, R3=820 ohms, R4=1000 ohms, R5= 4.7k ohms. See attached file for full problem description.

Thevenin's Theorem

Please see attached file.

Derive Expression for Electric Circuit

Please see attached file.

Using Maxwell's Circulating Currents to calculate currents in the circuit

a. Using Maxwell’s circuiting currents, calculate the three complex currents in the circuit (see attached file). b. Sketch a phasor diagram showing all the currents and the e.m.f V1