To calculate the supply voltage of the circuit, we use the formula:

V = IZ

Where V is the supply voltage, I is the current flowing through the circuit, and Z is the impedance of the circuit.

We can calculate the current by using the formula:

I = V / (Z^2 + X^2)^0.5

Where X is the reactance of the circuit, which is given by:

X = 1 / (2πfC) - 2πfL

Where f is the frequency of the supply, C is the value of the capacitor, and L is the value of the inductor.

Substituting the given values, we get:

X = 1 / (2π*50*15*10^-6) - 2π*50*318.4*10^-3

X = 607.9 ohm

Now, we can calculate the impedance of the circuit by using the formula:

Z = (R^-1 + X^-1)^-1

Substituting the given values, we get:

Z = (60^-1 + 607.9^-1)^-1

Z = 56.07 ohm

Finally, we can calculate the supply voltage by using the formula:

V = IZ

Substituting the calculated values, we get:

V = 3.56 V

Therefore, the supply voltage of the circuit is 200 V.



The circuit impedance is calculated using the formula:

Z = (R^-1 + X^-1)^-1

Substituting the given values, we get:

Z = (60^-1 + 607.9^-1)^-1

Z = 56.07 ohm

Therefore, the circuit impedance is 56.07 ohm.



The power consumed by the circuit is calculated using the formula:

P = V^2 / Z

Substituting the calculated values, we get:

P = (200^2) / 56.07

P = 712.5 W

Therefore, the power consumed by the circuit is 712.5 W.



A phasor diagram is a graphical representation of the voltages and currents in a circuit. In this circuit, the voltage across the capacitor and the inductor are out of phase with each other. The phasor diagram for this circuit would look like:

[Insert Image]

In this diagram, the voltage across the capacitor is represented by a phasor that is 90 degrees ahead of the current, while the voltage across the inductor is represented by a phasor that is 90 degrees behind the current. The total voltage across the circuit is the vector sum of these two voltages, and is represented by the hypotenuse of the triangle formed by these two phasors. This voltage is in phase with the current. The phasor diagram helps in understanding the relationship between the voltage and current in the circuit.