Math Problem Statement

If Vc(t) = 4Cos105t V in the circuit given below then find Vs(t) ?

Solution

To solve for Vs(t)V_s(t), we need to analyze the circuit.

Given:

  • The voltage across the capacitor is ( V_c(t) = 4 \cos(105t)

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Math Problem Analysis

Mathematical Concepts

AC Circuit Analysis
Phasors
Impedance in RLC Circuits

Formulas

V_L(t) = L(di/dt) for inductors
V_C(t) = Q/C for capacitors
Impedance of inductor Z_L = jωL
Impedance of capacitor Z_C = 1/(jωC)

Theorems

Kirchhoff's Voltage Law
Ohm's Law in AC Circuits

Suitable Grade Level

Undergraduate Electrical Engineering

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