First slide

Electrical Resonance series circuit

Question

In figure below if Z_L = Z_C and reading of ammeter is 1 A. Find value of source voltage V.

Moderate

A

80 Volt
B

60 Volt
C

100 Volt
D

120 Volt

Solution

If Z_L= Z_C current will be same,
so, ${V_{{Z_L}}} = {V_{{Z_C}}}$ ;
$\therefore$ ${V_L} = 1 \times 2\pi \times 30 \times \frac{1}{\pi }$ = 60 Volt
${V_R} = 80 \times 1 = 80\,volt$
$V = \sqrt {V_L^2 + V_R^2} = \sqrt {{{\left( {80} \right)}^2} + {{\left( {60} \right)}^2}} = 100\,Volt$

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