The edges of a tetrahedron form an RLC circuit shown. Resistance of all the resistors used is same $R=10\Omega .$ Reactance of both, inductor and capacitor is same equal to $10\Omega .$ An alternating voltage of peak emf 20V is connected to the circuit.

Select correct alternative(s)

 $R=10\Omega$
 $X_L=10\Omega b$
 $X_c=10\Omega$
 $I_1=2\sin \omega t$
 
Here potential at point A and B is same so resistor in between A and B is useless.
$I_2=\sqrt{2}\sin (\omega t+\frac{\pi }{4})$ 
$I_3=\sqrt{2}\sin (\omega t-\frac{\pi }{4})$ 
$V_A=I_2.X_c$ 
$V_A=\sqrt{2}\sin (\omega t-\frac{\pi }{4})$ 
$V_B=I_{3}R=\sqrt{2}\sin /\omega t-\frac{\pi }{4}$ 
$\therefore V_A=V_B$ 
Current $I_2$ leads over both $I_1$ and $I_3.$ Average rate of heat loos in circuit
${=i_1^2+i_2^2+i_3^2|}_{ram}R$ 
= 40Watt