Question

What is the voltage applied in the following circuit?

Answer 1

Answer:

120 v 8s the currect and

Answer 2

The voltage applied in the following RLC circuit is equal to (4) 100 V

Explanation:

Formula : $E = \sqrt{{V_R}^{2} + {(V_L - V_C)}^{2} }$

The supply voltage of a series RLC circuit can be derived from the power triangle formula and it depends on potential differences across the individual components resistor (R), inductor (L) and capacitor (C).

Current (I) is common to all the three components.

Let

E = Source voltage

$V_R$ = Voltage across Resistor

$V_L$ = Voltage across Inductor

$V_C$ = Voltage across Capacitor

Given:

$V_R = 60 V\ , V_L=120 V\ , V_C = 40 V\ , E = ?$

Since

$E = \sqrt{{V_R}^{2} + {(V_L - V_C)}^{2} } \\\\\ =\sqrt{{60}^{2} + {{(120 - 40)}^{2}}} = \sqrt{{60^{2} + {80}^{2}}} \\\\=\sqrt{{3600+6400}} = \sqrt{10,000} = 100\ V$

Therefore the input to the circuit (E) is a 100V voltage source.