# Solved Problems-4

Problems-4

**A series RLC circuit with**Î©

*R*= 10**,**

**H, F is excited from a 10 V,**

**50 Hz (**

*Ï‰*

**= 314 rad/s) source. Determine the rms values of voltage across**

**resistance,****inductance,****capacitance.**

**Give explanation if any of the answer is more than the source voltage.**

Solution

Here,

*Ï‰*= 314 rad/s,*R*= 10 Î©,*F*,*V*= 10 Vâˆ´ and

Since,

*X*_{L}=*X*_{C}, the circuit is under resonance.At resonance, the current in the circuit,

- âˆ´ Voltage across resistance,
- âˆ´ Voltage across inductance,
- âˆ´ Voltage across capacitance,

At resonance, the voltage drops across the inductance and the capacitance will be equal in magnitude but opposite in phase and thus will nullify each other so that the supply voltage will be equal to the voltage drop across the resistance.