Question

Figure shown parallel combination of $L,C$ and $R$ connected to an A.C source supplying current $I=14A$.IN the circuit $R_1=8\Omega ,R_2=6\Omega ,X_L=6\Omega$ and $X_C=8\Omega$.find the power dissipated in the circuit

• A. $686W$
• B. $1372W$
• C. $920W$
• D. $1400W$

Answer 1

The correct option is B $1372W$

Ref. image

$R_1=8\Omega$ $R_2=6\Omega$

$X_L=6\Omega$ $X_C=8\Omega$

$Z_L=R_L+X_L$

$=8\Omega +6\Omega$

$Z_L=14\Omega$

$Z_C=R_Z+X_C$

$6\Omega +8\Omega$

$Z_C=14\Omega$

$\frac{1}{2}+\frac{1}{Z_L}+\frac{1}{Z_C}$

$\frac{1}{2}=\frac{1}{14}+\frac{1}{14}$

$Z=7\Omega$

Power $=I_{2}Z$

$=14\times 14\times 7$

$P=1372w$