For a particular RLC series circuit, the capacitive reactance is 7.95 Ω, 7.95 Ω, the inductive reactance is 47.7 Ω, 47.7 Ω, and the maximum voltage across the 69.5 Ω 69.5 Ω resistor is 28.5 V. 28.5 V. What is the maximum voltage across the circuit?

51.3165 V

Explanation:

The maximum voltage across the circuit is given as,

V' = IXc + IXl + Vr ... Equation 1

Where V' = The maximum voltage across the circuit, I = current, Xc = capacitive reactance, Xl = inductive reactance, Vr = voltage cross the resistor.

From Ohm's Law,

V = IR ... Equation 2

I = V/R ... Equation 3

Given: V = 28.5 V, R = 69.5 Ω

Substitute into equation 3

I = 28.5/69.5

I = 0.41 A.

Also Given: Xc = 7.95 Ω, Xi = 47.7 Ω, Vr = 28.5 V.

Substitute into equation 1

V' = 7.95 (0.41) + 47.7 (0.41) + 28.5

V' = 3.2595+19.557+28.5

V' = 51.3165 V