A circuit of negligible resistance has an inductor of 0.16 H and capacitor of 25 F connected in series with an alternating voltage source. The resonating frequency of the circuit is

Step-by-step solution

At resonance inductive and capacitive reactance's are equal: aligned & X_C= C=X_L= 1 L & = 1 L C =2 f aligned Given, L=0.16 H & C=25 10⁻⁶ ~F aligned & = 1 4 10⁻⁶ ~s ⁻¹= 1000 2 ~s ⁻¹=2 f & f= ( 250 ) sec ⁻¹ aligned